CSE_E---1.7.THM-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWW221+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:30:06 PM UTC 2026

% Result   : Theorem 27.96s 15.94s
% Output   : CNFRefutation 247.46s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_not__sum__power2__lt__zero,axiom,
    ! [X14,X9,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,c_Power_Opower__class_Opower(X7,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X7,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__sum__power2__lt__zero) ).

fof(fact_power2__less__0,axiom,
    ! [X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X10,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Ozero__class_Ozero(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power2__less__0) ).

fof(fact_iszero__number__of__Bit1,axiom,
    ! [X11,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Int_Oring__char__0(X7) )
     => ~ c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit1(X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_iszero__number__of__Bit1) ).

fof(fact_not__iszero__Numeral1,axiom,
    ! [X7] :
      ( class_Int_Onumber__ring(X7)
     => ~ c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit1(c_Int_OPls))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__iszero__Numeral1) ).

fof(fact_le__SucE,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,c_Nat_OSuc(X34))
     => ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
       => X43 = c_Nat_OSuc(X34) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__SucE) ).

fof(fact_not__less__eq__eq,axiom,
    ! [X41,X42] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41)
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X41),X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less__eq__eq) ).

fof(fact_not__less__eq,axiom,
    ! [X41,X42] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41)
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,c_Nat_OSuc(X42)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less__eq) ).

fof(fact_less__SucE,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,c_Nat_OSuc(X34))
     => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
       => X43 = X34 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__SucE) ).

fof(fact_less__antisym,axiom,
    ! [X43,X34] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,X43)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Nat_OSuc(X43))
       => X43 = X34 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__antisym) ).

fof(fact_not__less__less__Suc__eq,axiom,
    ! [X42,X41] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,X42)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,c_Nat_OSuc(X42))
      <=> X41 = X42 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less__less__Suc__eq) ).

fof(fact_Suc__n__not__le__n,axiom,
    ! [X34] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X34),X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__n__not__le__n) ).

fof(fact_real__sqrt__sum__squares__triangle__ineq,axiom,
    ! [X64,X12,X25,X10] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X10,X25),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X12,X64),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X10,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X12,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X25,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X64,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__sum__squares__triangle__ineq) ).

fof(fact_Bit0__def,axiom,
    ! [X16] : c_Int_OBit0(X16) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,X16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit0__def) ).

fof(fact_Bit1__def,axiom,
    ! [X16] : c_Int_OBit1(X16) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X16),X16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit1__def) ).

fof(fact_cos__x__y__le__one,axiom,
    ! [X14,X9] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X9,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__x__y__le__one) ).

fof(fact_real__sqrt__sum__squares__mult__ge__zero,axiom,
    ! [X23,X80,X14,X9] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X80,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X23,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__sum__squares__mult__ge__zero) ).

fof(fact_real__sqrt__sum__squares__less,axiom,
    ! [X14,X61,X9] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X61,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X14),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X61,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
       => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X61) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__sum__squares__less) ).

fof(fact_lemma__sqrt__hcomplex__capprox,axiom,
    ! [X14,X9,X61] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X61)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X9,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X61,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
       => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X61,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
         => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9)
           => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X14)
             => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X61) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__sqrt__hcomplex__capprox) ).

fof(fact_real__sqrt__ge__abs1,axiom,
    ! [X14,X9] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__ge__abs1) ).

fof(fact_real__sqrt__ge__abs2,axiom,
    ! [X9,X14] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X14),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__ge__abs2) ).

fof(fact_real__sqrt__sum__squares__ge__zero,axiom,
    ! [X14,X9] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__sum__squares__ge__zero) ).

fof(fact_real__sqrt__sum__squares__ge1,axiom,
    ! [X14,X9] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__sum__squares__ge1) ).

fof(fact_real__sqrt__sum__squares__ge2,axiom,
    ! [X9,X14] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__sum__squares__ge2) ).

fof(fact_sum__power2__gt__zero__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oplus__class_Oplus(X7,c_Power_Opower__class_Opower(X7,X13,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X7,X21,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
      <=> ( X13 != c_Groups_Ozero__class_Ozero(X7)
          | X21 != c_Groups_Ozero__class_Ozero(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__power2__gt__zero__iff) ).

fof(fact_sum__power2__le__zero__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,c_Power_Opower__class_Opower(X7,X13,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X7,X21,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X7))
      <=> ( X13 = c_Groups_Ozero__class_Ozero(X7)
          & X21 = c_Groups_Ozero__class_Ozero(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__power2__le__zero__iff) ).

fof(fact_real__sqrt__sum__squares__eq__cancel2,axiom,
    ! [X14,X9] :
      ( c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) = X14
     => X9 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__sum__squares__eq__cancel2) ).

fof(fact_real__sqrt__sum__squares__eq__cancel,axiom,
    ! [X14,X9] :
      ( c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) = X9
     => X14 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__sum__squares__eq__cancel) ).

fof(fact_sum__power2__ge__zero,axiom,
    ! [X14,X9,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oplus__class_Oplus(X7,c_Power_Opower__class_Opower(X7,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X7,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__power2__ge__zero) ).

fof(fact_power2__le__imp__le,axiom,
    ! [X14,X9,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Power_Opower__class_Opower(X7,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X7,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X14)
         => c_Orderings_Oord__class_Oless__eq(X7,X9,X14) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power2__le__imp__le) ).

fof(fact_power2__less__imp__less,axiom,
    ! [X14,X9,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X7,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X14)
         => c_Orderings_Oord__class_Oless(X7,X9,X14) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power2__less__imp__less) ).

fof(fact_sum__power2__eq__zero__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,c_Power_Opower__class_Opower(X7,X13,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X7,X21,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X7)
      <=> ( X13 = c_Groups_Ozero__class_Ozero(X7)
          & X21 = c_Groups_Ozero__class_Ozero(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__power2__eq__zero__iff) ).

fof(fact_realpow__two__sum__zero__iff,axiom,
    ! [X21,X13] :
      ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X13,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X21,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    <=> ( X13 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        & X21 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__two__sum__zero__iff) ).

fof(fact_realpow__square__minus__le,axiom,
    ! [X9,X61] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X61,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__square__minus__le) ).

fof(conj_0,hypothesis,
    ! [X4] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)
     => ( ! [X5] :
            ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,v_z____)))
              & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,v_z____)),X4) )
           => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X5),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
       => v_thesis____ ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(fact_real__sum__of__halves,axiom,
    ! [X9] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sum__of__halves) ).

fof(fact_lemma__real__divide__sqrt__less,axiom,
    ! [X61] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X61)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X61,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),X61) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__real__divide__sqrt__less) ).

fof(fact__096EX_Ad_0620_O_AALL_Aw_O_A0_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_A_N_N_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096,axiom,
    ? [X4] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)
      & ! [X5] :
          ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,v_z____)))
            & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,v_z____)),X4) )
         => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X5),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096EX_Ad_0620_O_AALL_Aw_O_A0_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_A_N_N_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096) ).

fof(fact_power2__eq__imp__eq,axiom,
    ! [X14,X9,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Power_Opower__class_Opower(X7,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X7,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X9)
         => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X14)
           => X9 = X14 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power2__eq__imp__eq) ).

fof(fact_half__gt__zero__iff,axiom,
    ! [X6,X7] :
      ( ( class_Fields_Olinordered__field__inverse__zero(X7)
        & class_Int_Onumber__ring(X7) )
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Rings_Oinverse__class_Odivide(X7,X6,c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      <=> c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_half__gt__zero__iff) ).

fof(fact_zero__less__power2,axiom,
    ! [X27,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Power_Opower__class_Opower(X7,X27,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      <=> X27 != c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__power2) ).

fof(fact_real__average__minus__first,axiom,
    ! [X12,X10] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X10,X12),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X10) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X12,X10),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__average__minus__first) ).

fof(fact_real__average__minus__second,axiom,
    ! [X10,X12] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X12,X10),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X10) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X12,X10),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__average__minus__second) ).

fof(fact_abs__power2,axiom,
    ! [X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Power_Opower__class_Opower(X7,X10,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(X7,X10,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__power2) ).

fof(fact_real__gt__half__sum,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X9,X14)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,X14),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__gt__half__sum) ).

fof(fact_real__less__half__sum,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X9,X14)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X9,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,X14),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__half__sum) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
    ! [X34,X9,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Power_Opower__class_Opower(X7,X9,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X34)) = c_Groups_Otimes__class_Otimes(X7,c_Power_Opower__class_Opower(X7,X9,X34),c_Power_Opower__class_Opower(X7,X9,X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J) ).

fof(fact_less__one__imp__sqr__less__one,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__one__imp__sqr__less__one) ).

fof(fact_half__gt__zero,axiom,
    ! [X8,X7] :
      ( ( class_Fields_Olinordered__field__inverse__zero(X7)
        & class_Int_Onumber__ring(X7) )
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X8)
       => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Rings_Oinverse__class_Odivide(X7,X8,c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_half__gt__zero) ).

fof(fact_real__sqrt__pow2__gt__zero,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X9),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__pow2__gt__zero) ).

fof(fact_half,axiom,
    ! [X7] :
      ( ( class_Fields_Olinordered__field__inverse__zero(X7)
        & class_Int_Onumber__ring(X7) )
     => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oone__class_Oone(X7),c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_half) ).

fof(fact_two__realpow__gt,axiom,
    ! [X34] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X34),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_two__realpow__gt) ).

fof(fact_zero__le__power2,axiom,
    ! [X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Power_Opower__class_Opower(X7,X10,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__power2) ).

fof(fact_two__realpow__ge__one,axiom,
    ! [X34] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_two__realpow__ge__one) ).

fof(fact_power2__abs,axiom,
    ! [X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Power_Opower__class_Opower(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X7,X10,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power2__abs) ).

fof(fact_power2__minus,axiom,
    ! [X10,X7] :
      ( class_Rings_Oring__1(X7)
     => c_Power_Opower__class_Opower(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X7,X10,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power2__minus) ).

fof(fact_real__sqrt__abs,axiom,
    ! [X9] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__abs) ).

fof(fact_Suc3__eq__add__3,axiom,
    ! [X34] : c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(X34))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc3__eq__add__3) ).

fof(fact_Suc__eq__plus1,axiom,
    ! [X34] : c_Nat_OSuc(X34) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).

fof(fact_eq__special_I4_J,axiom,
    ! [X13,X7] :
      ( class_Int_Onumber__ring(X7)
     => ( c_Int_Onumber__class_Onumber__of(X7,X13) = c_Groups_Oone__class_Oone(X7)
      <=> c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X13,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls))))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__special_I4_J) ).

fof(fact_int__pos__lt__two__imp__zero__or__one,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X9)
     => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X9,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
       => ( X9 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
          | X9 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_int__pos__lt__two__imp__zero__or__one) ).

fof(fact_real__sqrt__unique,axiom,
    ! [X9,X14] :
      ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X9
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X14)
       => c_NthRoot_Osqrt(X9) = X14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__unique) ).

fof(fact_real__sqrt__pow2__iff,axiom,
    ! [X13] :
      ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X13),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X13
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__pow2__iff) ).

fof(fact_less__2__cases,axiom,
    ! [X34] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
     => ( X34 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X34 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__2__cases) ).

fof(fact_power2__eq__1__iff,axiom,
    ! [X27,X7] :
      ( class_Rings_Oring__1__no__zero__divisors(X7)
     => ( c_Power_Opower__class_Opower(X7,X27,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X7)
      <=> ( X27 = c_Groups_Oone__class_Oone(X7)
          | X27 = c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Oone__class_Oone(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power2__eq__1__iff) ).

fof(fact_zero__eq__power2,axiom,
    ! [X27,X7] :
      ( class_Rings_Oring__1__no__zero__divisors(X7)
     => ( c_Power_Opower__class_Opower(X7,X27,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X7)
      <=> X27 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__eq__power2) ).

fof(fact_add__2__eq__Suc,axiom,
    ! [X34] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X34) = c_Nat_OSuc(c_Nat_OSuc(X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__2__eq__Suc) ).

fof(fact_add__2__eq__Suc_H,axiom,
    ! [X34] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Nat_OSuc(c_Nat_OSuc(X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__2__eq__Suc_H) ).

fof(fact_real__sqrt__pow2,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9)
     => c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X9),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__pow2) ).

fof(fact_one__power2,axiom,
    ! [X7] :
      ( class_Rings_Osemiring__1(X7)
     => c_Power_Opower__class_Opower(X7,c_Groups_Oone__class_Oone(X7),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__power2) ).

fof(fact_zero__power2,axiom,
    ! [X7] :
      ( class_Rings_Osemiring__1(X7)
     => c_Power_Opower__class_Opower(X7,c_Groups_Ozero__class_Ozero(X7),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__power2) ).

fof(fact_csqrt,axiom,
    ! [X29] : c_Power_Opower__class_Opower(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(X29),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_csqrt) ).

fof(fact_eq__special_I2_J,axiom,
    ! [X21,X7] :
      ( class_Int_Onumber__ring(X7)
     => ( c_Groups_Oone__class_Oone(X7) = c_Int_Onumber__class_Onumber__of(X7,X21)
      <=> c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X21)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__special_I2_J) ).

fof(fact_Suc__diff__eq__diff__pred,axiom,
    ! [X43,X34] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),X34)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X43),X34) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__diff__eq__diff__pred) ).

fof(fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096,axiom,
    ? [X69] :
    ! [X3] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X69,X3)),v_r)
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X69,X3))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096) ).

fof(fact__096_B_Bn_O_AEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_096,axiom,
    ! [X41] :
    ? [X57] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X57),v_r)
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X41))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_Bn_O_AEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_096) ).

fof(fact_th,axiom,
    ! [X36] :
    ? [X57] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X57),v_r)
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X36))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_th) ).

fof(fact_g_I2_J,axiom,
    ! [X36] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(X36))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X36))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_g_I2_J) ).

fof(fact_diff__special_I2_J,axiom,
    ! [X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Ominus__class_Ominus(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Groups_Oone__class_Oone(X7)) = c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__special_I2_J) ).

fof(fact_lemma__NBseq__def,axiom,
    ! [X51,X53] :
      ( class_RealVector_Oreal__normed__vector(X53)
     => ( ? [X67] :
            ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X67)
            & ! [X36] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X53,hAPP(X51,X36)),X67) )
      <=> ? [X38] :
          ! [X36] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X53,hAPP(X51,X36)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X38))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__NBseq__def) ).

fof(fact_lemma__NBseq__def2,axiom,
    ! [X51,X53] :
      ( class_RealVector_Oreal__normed__vector(X53)
     => ( ? [X67] :
            ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X67)
            & ! [X36] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X53,hAPP(X51,X36)),X67) )
      <=> ? [X38] :
          ! [X36] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X53,hAPP(X51,X36)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X38))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__NBseq__def2) ).

fof(fact_one__add__one__is__two,axiom,
    ! [X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Oone__class_Oone(X7)) = c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__add__one__is__two) ).

fof(fact_power__le__imp__le__base,axiom,
    ! [X12,X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Power_Opower__class_Opower(X7,X10,c_Nat_OSuc(X34)),c_Power_Opower__class_Opower(X7,X12,c_Nat_OSuc(X34)))
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless__eq(X7,X10,X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__le__imp__le__base) ).

fof(fact_realpow__two__disj,axiom,
    ! [X21,X13,X7] :
      ( class_Rings_Oidom(X7)
     => ( c_Power_Opower__class_Opower(X7,X13,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Power_Opower__class_Opower(X7,X21,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
      <=> ( X13 = X21
          | X13 = c_Groups_Ouminus__class_Ouminus(X7,X21) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__two__disj) ).

fof(fact_less__eq__int__code_I16_J,axiom,
    ! [X17,X18] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X18),c_Int_OBit1(X17))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X18,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__int__code_I16_J) ).

fof(fact_rel__simps_I34_J,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X20),c_Int_OBit1(X19))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I34_J) ).

fof(fact_rel__simps_I17_J,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X20),c_Int_OBit1(X19))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I17_J) ).

fof(fact_less__int__code_I16_J,axiom,
    ! [X17,X18] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X18),c_Int_OBit1(X17))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X18,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__int__code_I16_J) ).

fof(fact_diff__bin__simps_I10_J,axiom,
    ! [X24,X16] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(X16),c_Int_OBit1(X24)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X16,X24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__bin__simps_I10_J) ).

fof(fact_add__Bit1__Bit0,axiom,
    ! [X24,X16] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(X16),c_Int_OBit0(X24)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,X24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Bit1__Bit0) ).

fof(fact_diff__bin__simps_I9_J,axiom,
    ! [X24,X16] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(X16),c_Int_OBit0(X24)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X16,X24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__bin__simps_I9_J) ).

fof(fact_add__Bit0__Bit1,axiom,
    ! [X24,X16] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X16),c_Int_OBit1(X24)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,X24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Bit0__Bit1) ).

fof(fact_diff__special_I1_J,axiom,
    ! [X11,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Ominus__class_Ominus(X7,c_Groups_Oone__class_Oone(X7),c_Int_Onumber__class_Onumber__of(X7,X11)) = c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__special_I1_J) ).

fof(fact_number__of1,axiom,
    ! [X34] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X34))
     => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(X34)))
        & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(X34))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of1) ).

fof(fact_add__special_I3_J,axiom,
    ! [X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Groups_Oone__class_Oone(X7)) = c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,c_Int_OBit1(c_Int_OPls))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__special_I3_J) ).

fof(fact_add__special_I2_J,axiom,
    ! [X11,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Oone__class_Oone(X7),c_Int_Onumber__class_Onumber__of(X7,X11)) = c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__special_I2_J) ).

fof(fact_less__eq__int__code_I15_J,axiom,
    ! [X17,X18] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X18),c_Int_OBit0(X17))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X18,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__int__code_I15_J) ).

fof(fact_rel__simps_I33_J,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X20),c_Int_OBit0(X19))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I33_J) ).

fof(fact_rel__simps_I16_J,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X20),c_Int_OBit0(X19))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I16_J) ).

fof(fact_less__int__code_I15_J,axiom,
    ! [X17,X18] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X18),c_Int_OBit0(X17))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X18,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__int__code_I15_J) ).

fof(fact_less__eq__int__code_I14_J,axiom,
    ! [X17,X18] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X18),c_Int_OBit1(X17))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X18,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__int__code_I14_J) ).

fof(fact_rel__simps_I32_J,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X20),c_Int_OBit1(X19))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I32_J) ).

fof(fact_less__int__code_I14_J,axiom,
    ! [X17,X18] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X18),c_Int_OBit1(X17))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X18,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__int__code_I14_J) ).

fof(fact_rel__simps_I15_J,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X20),c_Int_OBit1(X19))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I15_J) ).

fof(fact_divide__Numeral1,axiom,
    ! [X9,X7] :
      ( ( class_Fields_Ofield(X7)
        & class_Int_Onumber__ring(X7) )
     => c_Rings_Oinverse__class_Odivide(X7,X9,c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit1(c_Int_OPls))) = X9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__Numeral1) ).

fof(fact_divide__numeral__1,axiom,
    ! [X10,X7] :
      ( ( class_Fields_Ofield(X7)
        & class_Int_Onumber__ring(X7) )
     => c_Rings_Oinverse__class_Odivide(X7,X10,c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit1(c_Int_OPls))) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__numeral__1) ).

fof(fact_diff__Suc__diff__eq2,axiom,
    ! [X43,X44,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X44)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X44,X16)),X43) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X44),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X16,X43)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__diff__eq2) ).

fof(fact_diff__Suc__diff__eq1,axiom,
    ! [X43,X44,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X44)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X44,X16))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X16),c_Nat_OSuc(X44)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__diff__eq1) ).

fof(fact_power__inject__base,axiom,
    ! [X12,X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Power_Opower__class_Opower(X7,X10,c_Nat_OSuc(X34)) = c_Power_Opower__class_Opower(X7,X12,c_Nat_OSuc(X34))
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
         => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12)
           => X10 = X12 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__inject__base) ).

fof(fact_nat__lt__two__imp__zero__or__one,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X9,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
     => ( X9 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X9 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__lt__two__imp__zero__or__one) ).

fof(fact_le__special_I4_J,axiom,
    ! [X13,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Int_Onumber__class_Onumber__of(X7,X13),c_Groups_Oone__class_Oone(X7))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X13,c_Int_OBit1(c_Int_OPls)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__special_I4_J) ).

fof(fact_less__special_I4_J,axiom,
    ! [X13,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless(X7,c_Int_Onumber__class_Onumber__of(X7,X13),c_Groups_Oone__class_Oone(X7))
      <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X13,c_Int_OBit1(c_Int_OPls)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__special_I4_J) ).

fof(fact_le__special_I2_J,axiom,
    ! [X21,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oone__class_Oone(X7),c_Int_Onumber__class_Onumber__of(X7,X21))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__special_I2_J) ).

fof(fact_less__special_I2_J,axiom,
    ! [X21,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),c_Int_Onumber__class_Onumber__of(X7,X21))
      <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__special_I2_J) ).

fof(fact_nat__diff__split__asm,axiom,
    ! [X26,X27,X45] :
      ( hBOOL(hAPP(X45,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X27,X26)))
    <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27,X26)
            & ~ hBOOL(hAPP(X45,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
          | ? [X4] :
              ( X27 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X26,X4)
              & ~ hBOOL(hAPP(X45,X4)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__diff__split__asm) ).

fof(fact_bin__less__0__simps_I4_J,axiom,
    ! [X15] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X15),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X15,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_bin__less__0__simps_I4_J) ).

fof(fact_Suc__diff__diff,axiom,
    ! [X16,X34,X43] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X43),X34),c_Nat_OSuc(X16)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34),X16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__diff__diff) ).

fof(fact_rel__simps_I22_J,axiom,
    ! [X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X20))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I22_J) ).

fof(fact_rel__simps_I5_J,axiom,
    ! [X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X20))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I5_J) ).

fof(fact_rel__simps_I29_J,axiom,
    ! [X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X20),c_Int_OPls)
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X20,c_Int_OPls) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I29_J) ).

fof(fact_rel__simps_I12_J,axiom,
    ! [X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X20),c_Int_OPls)
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X20,c_Int_OPls) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I12_J) ).

fof(fact_number__of__Bit1,axiom,
    ! [X11,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit1(X11)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,c_Groups_Oone__class_Oone(X7),c_Int_Onumber__class_Onumber__of(X7,X11)),c_Int_Onumber__class_Onumber__of(X7,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__Bit1) ).

fof(fact_power__Suc__less__one,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Oone__class_Oone(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X10,c_Nat_OSuc(X34)),c_Groups_Oone__class_Oone(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__Suc__less__one) ).

fof(fact_realpow__Suc__le__self,axiom,
    ! [X34,X8,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X8)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X8,c_Groups_Oone__class_Oone(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Power_Opower__class_Opower(X7,X8,c_Nat_OSuc(X34)),X8) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__Suc__le__self) ).

fof(fact_subseq__Suc__iff,axiom,
    ! [X2] :
      ( c_SEQ_Osubseq(X2)
    <=> ! [X36] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X36),hAPP(X2,c_Nat_OSuc(X36))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subseq__Suc__iff) ).

fof(fact_nat__one__le__power,axiom,
    ! [X34,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X28)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X28,X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__one__le__power) ).

fof(fact_calculation,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r)
   => ? [X57] :
      ! [X5] :
        ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5),v_r)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X5))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_calculation) ).

fof(fact_add__Bit0__Bit0,axiom,
    ! [X24,X16] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X16),c_Int_OBit0(X24)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,X24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Bit0__Bit0) ).

fof(fact_diff__bin__simps_I7_J,axiom,
    ! [X24,X16] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit0(X16),c_Int_OBit0(X24)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X16,X24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__bin__simps_I7_J) ).

fof(fact_rel__simps_I51_J,axiom,
    ! [X19,X20] :
      ( c_Int_OBit1(X20) = c_Int_OBit1(X19)
    <=> X20 = X19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I51_J) ).

fof(fact_power__gt1,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X10)
       => c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),c_Power_Opower__class_Opower(X7,X10,c_Nat_OSuc(X34))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__gt1) ).

fof(fact_Suc__le__mono,axiom,
    ! [X42,X41] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X41),c_Nat_OSuc(X42))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X41,X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__le__mono) ).

fof(fact_Suc__less__SucD,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X43),c_Nat_OSuc(X34))
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__less__SucD) ).

fof(fact_Suc__less__eq,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X42),c_Nat_OSuc(X41))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__less__eq) ).

fof(fact_Suc__pred,axiom,
    ! [X34] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34)
     => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X34 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__pred) ).

fof(fact_diff__Suc__less,axiom,
    ! [X28,X34] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,c_Nat_OSuc(X28)),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__less) ).

fof(fact_less__eq__int__code_I13_J,axiom,
    ! [X17,X18] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X18),c_Int_OBit0(X17))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X18,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__int__code_I13_J) ).

fof(fact_rel__simps_I31_J,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X20),c_Int_OBit0(X19))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I31_J) ).

fof(fact_rel__simps_I14_J,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X20),c_Int_OBit0(X19))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I14_J) ).

fof(fact_less__int__code_I13_J,axiom,
    ! [X17,X18] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X18),c_Int_OBit0(X17))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X18,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__int__code_I13_J) ).

fof(fact_iszero__number__of__Bit0,axiom,
    ! [X15,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Int_Oring__char__0(X7) )
     => ( c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit0(X15)))
      <=> c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,X15)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_iszero__number__of__Bit0) ).

fof(fact_add__eq__if,axiom,
    ! [X34,X43] :
      ( ( X43 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34) = X34 )
      & ( X43 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X34)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__eq__if) ).

fof(fact_diff__bin__simps_I3_J,axiom,
    ! [X24] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X24)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__bin__simps_I3_J) ).

fof(fact_Suc__diff__le,axiom,
    ! [X43,X34] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X43)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X43),X34) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__diff__le) ).

fof(fact_number__of__Bit0,axiom,
    ! [X11,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit0(X11)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,c_Groups_Ozero__class_Ozero(X7),c_Int_Onumber__class_Onumber__of(X7,X11)),c_Int_Onumber__class_Onumber__of(X7,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__Bit0) ).

fof(fact_less__add__Suc1,axiom,
    ! [X43,X28] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X43))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__Suc1) ).

fof(fact_less__add__Suc2,axiom,
    ! [X43,X28] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X28))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__Suc2) ).

fof(fact_le__Suc__eq,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,c_Nat_OSuc(X41))
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41)
        | X42 = c_Nat_OSuc(X41) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__Suc__eq) ).

fof(fact_Suc__mono,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X43),c_Nat_OSuc(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__mono) ).

fof(fact_le__number__of__eq__not__less,axiom,
    ! [X15,X33,X7] :
      ( ( class_Int_Onumber(X7)
        & class_Orderings_Olinorder(X7) )
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Int_Onumber__class_Onumber__of(X7,X33),c_Int_Onumber__class_Onumber__of(X7,X15))
      <=> ~ c_Orderings_Oord__class_Oless(X7,c_Int_Onumber__class_Onumber__of(X7,X15),c_Int_Onumber__class_Onumber__of(X7,X33)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__number__of__eq__not__less) ).

fof(fact_expand__Suc,axiom,
    ! [X22] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22))
     => c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_expand__Suc) ).

fof(fact_less__Suc__eq__0__disj,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,c_Nat_OSuc(X41))
    <=> ( X42 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ? [X68] :
            ( X42 = c_Nat_OSuc(X68)
            & c_Orderings_Oord__class_Oless(tc_Nat_Onat,X68,X41) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__Suc__eq__0__disj) ).

fof(fact_le__less__Suc__eq,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,c_Nat_OSuc(X42))
      <=> X41 = X42 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__less__Suc__eq) ).

fof(fact_numeral__1__eq__1,axiom,
    ! [X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_numeral__1__eq__1) ).

fof(fact_semiring__norm_I110_J,axiom,
    ! [X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oone__class_Oone(X7) = c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit1(c_Int_OPls)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_semiring__norm_I110_J) ).

fof(fact_rel__simps_I49_J,axiom,
    ! [X24,X16] : c_Int_OBit0(X16) != c_Int_OBit1(X24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I49_J) ).

fof(fact_rel__simps_I50_J,axiom,
    ! [X24,X16] : c_Int_OBit1(X16) != c_Int_OBit0(X24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I50_J) ).

fof(fact_power__Suc2,axiom,
    ! [X34,X10,X7] :
      ( class_Groups_Omonoid__mult(X7)
     => c_Power_Opower__class_Opower(X7,X10,c_Nat_OSuc(X34)) = c_Groups_Otimes__class_Otimes(X7,c_Power_Opower__class_Opower(X7,X10,X34),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__Suc2) ).

fof(fact_power__Suc,axiom,
    ! [X34,X10,X7] :
      ( class_Power_Opower(X7)
     => c_Power_Opower__class_Opower(X7,X10,c_Nat_OSuc(X34)) = c_Groups_Otimes__class_Otimes(X7,X10,c_Power_Opower__class_Opower(X7,X10,X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__Suc) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
    ! [X40,X9,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Power_Opower__class_Opower(X7,X9,c_Nat_OSuc(X40)) = c_Groups_Otimes__class_Otimes(X7,X9,c_Power_Opower__class_Opower(X7,X9,X40)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
    ! [X40,X9,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Power_Opower__class_Opower(X7,X9,X40),X9) = c_Power_Opower__class_Opower(X7,X9,c_Nat_OSuc(X40)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
    ! [X40,X9,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,X9,c_Power_Opower__class_Opower(X7,X9,X40)) = c_Power_Opower__class_Opower(X7,X9,c_Nat_OSuc(X40)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J) ).

fof(fact_less__trans__Suc,axiom,
    ! [X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,X44)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X44,X16)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X28),X16) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__trans__Suc) ).

fof(fact_abs__add__one__not__less__self,axiom,
    ! [X9] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__one__not__less__self) ).

fof(fact_diff__Suc__Suc,axiom,
    ! [X34,X43] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X43),c_Nat_OSuc(X34)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__Suc) ).

fof(fact_add__Suc__shift,axiom,
    ! [X34,X43] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X43),X34) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,c_Nat_OSuc(X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__shift) ).

fof(fact_diff__Suc__eq__diff__pred,axiom,
    ! [X34,X43] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,c_Nat_OSuc(X34)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__eq__diff__pred) ).

fof(fact_add__Suc,axiom,
    ! [X34,X43] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X43),X34) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc) ).

fof(fact_add__Suc__right,axiom,
    ! [X34,X43] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,c_Nat_OSuc(X34)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__right) ).

fof(fact_add__nat__number__of,axiom,
    ! [X74,X22] :
      ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X22,c_Int_OPls)
       => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X74)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X74) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X22,c_Int_OPls)
       => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X74,c_Int_OPls)
           => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X74)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22) )
          & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X74,c_Int_OPls)
           => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X74)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,X74)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nat__number__of) ).

fof(fact_less__Suc__eq,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,c_Nat_OSuc(X41))
    <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41)
        | X42 = X41 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__Suc__eq) ).

fof(fact_Suc__leD,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X43),X34)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__leD) ).

fof(fact_less__eq__Suc__le,axiom,
    ! [X42,X41] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,X42)
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X41),X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__Suc__le) ).

fof(fact_Suc__le__eq,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X42),X41)
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__le__eq) ).

fof(fact_Suc__le__lessD,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X43),X34)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__le__lessD) ).

fof(fact_Suc__lessD,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X43),X34)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__lessD) ).

fof(fact_less__Suc__eq__le,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,c_Nat_OSuc(X41))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__Suc__eq__le) ).

fof(fact_bin__less__0__simps_I3_J,axiom,
    ! [X15] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X15),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X15,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_bin__less__0__simps_I3_J) ).

fof(fact_less__iff__Suc__add,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41)
    <=> ? [X73] : X41 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X73)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__iff__Suc__add) ).

fof(fact_Suc__lessI,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
     => ( c_Nat_OSuc(X43) != X34
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X43),X34) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__lessI) ).

fof(fact_add__leE,axiom,
    ! [X34,X16,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X16),X34)
     => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
         => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X34) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__leE) ).

fof(fact_real__of__nat__Suc__gt__zero,axiom,
    ! [X34] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X34))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__Suc__gt__zero) ).

fof(fact_one__is__add,axiom,
    ! [X41,X42] :
      ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X41)
    <=> ( ( X42 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
          & X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
        | ( X42 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
          & X41 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__is__add) ).

fof(fact_add__is__1,axiom,
    ! [X41,X42] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X41) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    <=> ( ( X42 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
          & X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
        | ( X42 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
          & X41 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__is__1) ).

fof(fact_rel__simps_I21_J,axiom,
    ! [X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X20))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I21_J) ).

fof(fact_rel__simps_I4_J,axiom,
    ! [X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X20))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I4_J) ).

fof(fact_rel__simps_I27_J,axiom,
    ! [X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X20),c_Int_OPls)
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X20,c_Int_OPls) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I27_J) ).

fof(fact_rel__simps_I10_J,axiom,
    ! [X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X20),c_Int_OPls)
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X20,c_Int_OPls) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I10_J) ).

fof(fact_less__fun__def,axiom,
    ! [X1,X2,X7,X53] :
      ( class_Orderings_Oord(X53)
     => ( c_Orderings_Oord__class_Oless(tc_fun(X7,X53),X2,X1)
      <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X7,X53),X2,X1)
          & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X7,X53),X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__fun__def) ).

fof(fact_not__square__less__zero,axiom,
    ! [X10,X7] :
      ( class_Rings_Olinordered__ring(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X10,X10),c_Groups_Ozero__class_Ozero(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__square__less__zero) ).

fof(fact_less__Suc0,axiom,
    ! [X41] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    <=> X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__Suc0) ).

fof(fact_diff__less__Suc,axiom,
    ! [X34,X43] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34),c_Nat_OSuc(X43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__less__Suc) ).

fof(fact_le__nat__number__of,axiom,
    ! [X32,X33] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X33),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X32))
    <=> ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X33,X32)
       => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X33,c_Int_OPls) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__nat__number__of) ).

fof(fact_not__real__square__gt__zero,axiom,
    ! [X13] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X13,X13))
    <=> X13 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__real__square__gt__zero) ).

fof(fact_rel__simps_I46_J,axiom,
    ! [X16] : c_Int_OBit1(X16) != c_Int_OPls,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I46_J) ).

fof(fact_rel__simps_I39_J,axiom,
    ! [X24] : c_Int_OPls != c_Int_OBit1(X24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I39_J) ).

fof(fact_Suc__diff__1,axiom,
    ! [X34] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34)
     => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X34 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__diff__1) ).

fof(fact_Suc__pred_H,axiom,
    ! [X34] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34)
     => X34 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__pred_H) ).

fof(fact_Suc__leI,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X43),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__leI) ).

fof(fact_le__SucI,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,c_Nat_OSuc(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__SucI) ).

fof(fact_le__imp__less__Suc,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,c_Nat_OSuc(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__imp__less__Suc) ).

fof(fact_less__SucI,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,c_Nat_OSuc(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__SucI) ).

fof(fact_not__add__less1,axiom,
    ! [X44,X28] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X44),X28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__add__less1) ).

fof(fact_not__add__less2,axiom,
    ! [X28,X44] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X28),X28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__add__less2) ).

fof(fact_nat__power__eq__Suc__0__iff,axiom,
    ! [X42,X13] :
      ( c_Power_Opower__class_Opower(tc_Nat_Onat,X13,X42) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    <=> ( X42 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X13 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__power__eq__Suc__0__iff) ).

fof(fact_abs__number__of,axiom,
    ! [X9,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( ( c_Orderings_Oord__class_Oless(X7,c_Int_Onumber__class_Onumber__of(X7,X9),c_Groups_Ozero__class_Ozero(X7))
         => c_Groups_Oabs__class_Oabs(X7,c_Int_Onumber__class_Onumber__of(X7,X9)) = c_Groups_Ouminus__class_Ouminus(X7,c_Int_Onumber__class_Onumber__of(X7,X9)) )
        & ( ~ c_Orderings_Oord__class_Oless(X7,c_Int_Onumber__class_Onumber__of(X7,X9),c_Groups_Ozero__class_Ozero(X7))
         => c_Groups_Oabs__class_Oabs(X7,c_Int_Onumber__class_Onumber__of(X7,X9)) = c_Int_Onumber__class_Onumber__of(X7,X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__number__of) ).

fof(fact_power__Suc__0,axiom,
    ! [X34] : c_Power_Opower__class_Opower(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X34) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__Suc__0) ).

fof(fact_minus__Bit0,axiom,
    ! [X16] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(X16)) = c_Int_OBit0(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__Bit0) ).

fof(fact_add__diff__inverse,axiom,
    ! [X34,X43] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34)) = X43 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__inverse) ).

fof(fact_less__le__not__le,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X13,X21)
      <=> ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
          & ~ c_Orderings_Oord__class_Oless__eq(X7,X21,X13) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__le__not__le) ).

fof(fact_real__of__nat__Suc,axiom,
    ! [X34] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X34)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X34),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__Suc) ).

fof(fact_power__0__Suc,axiom,
    ! [X34,X7] :
      ( ( class_Power_Opower(X7)
        & class_Rings_Osemiring__0(X7) )
     => c_Power_Opower__class_Opower(X7,c_Groups_Ozero__class_Ozero(X7),c_Nat_OSuc(X34)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__0__Suc) ).

fof(fact_linorder__antisym__conv2,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
       => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
        <=> X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__antisym__conv2) ).

fof(fact_xt1_I9_J,axiom,
    ! [X10,X12,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X12,X10)
       => ~ c_Orderings_Oord__class_Oless(X7,X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I9_J) ).

fof(fact_order__less__asym,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ~ c_Orderings_Oord__class_Oless(X7,X14,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__asym) ).

fof(fact_order__less__asym_H,axiom,
    ! [X12,X10,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => ~ c_Orderings_Oord__class_Oless(X7,X12,X10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__asym_H) ).

fof(fact_order__less__imp__not__less,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ~ c_Orderings_Oord__class_Oless(X7,X14,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__imp__not__less) ).

fof(fact_order__less__not__sym,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ~ c_Orderings_Oord__class_Oless(X7,X14,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__not__sym) ).

fof(fact_linorder__not__le,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
      <=> c_Orderings_Oord__class_Oless(X7,X21,X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__not__le) ).

fof(fact_leD,axiom,
    ! [X9,X14,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X14,X9)
       => ~ c_Orderings_Oord__class_Oless(X7,X9,X14) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_leD) ).

fof(fact_linorder__not__less,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
      <=> c_Orderings_Oord__class_Oless__eq(X7,X21,X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__not__less) ).

fof(fact_not__less__iff__gr__or__eq,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
      <=> ( c_Orderings_Oord__class_Oless(X7,X21,X13)
          | X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less__iff__gr__or__eq) ).

fof(fact_Suc__inject,axiom,
    ! [X14,X9] :
      ( c_Nat_OSuc(X9) = c_Nat_OSuc(X14)
     => X9 = X14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__inject) ).

fof(fact_nat_Oinject,axiom,
    ! [X62,X63] :
      ( c_Nat_OSuc(X63) = c_Nat_OSuc(X62)
    <=> X63 = X62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat_Oinject) ).

fof(fact_abs__poly__def,axiom,
    ! [X9,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X7),X9,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)))
         => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(X7),X9) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X7),X9) )
        & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X7),X9,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)))
         => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(X7),X9) = X9 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__poly__def) ).

fof(fact_rel__simps_I48_J,axiom,
    ! [X19,X20] :
      ( c_Int_OBit0(X20) = c_Int_OBit0(X19)
    <=> X20 = X19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I48_J) ).

fof(fact_diff__Suc__1,axiom,
    ! [X34] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X34),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X34,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__1) ).

fof(fact_zero__less__Suc,axiom,
    ! [X34] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__Suc) ).

fof(fact_lessI,axiom,
    ! [X34] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Nat_OSuc(X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lessI) ).

fof(fact_gr0__conv__Suc,axiom,
    ! [X41] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X41)
    <=> ? [X35] : X41 = c_Nat_OSuc(X35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gr0__conv__Suc) ).

fof(fact_tsub__def,axiom,
    ! [X9,X14] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14,X9)
       => c_Nat__Transfer_Otsub(X9,X14) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X9,X14) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14,X9)
       => c_Nat__Transfer_Otsub(X9,X14) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_tsub__def) ).

fof(fact_linorder__antisym__conv1,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
        <=> X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__antisym__conv1) ).

fof(fact_abs__not__less__zero,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Ozero__class_Ozero(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__not__less__zero) ).

fof(fact_norm__not__less__zero,axiom,
    ! [X9,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X9),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__not__less__zero) ).

fof(fact_abs__if,axiom,
    ! [X10,X7] :
      ( class_Groups_Oabs__if(X7)
     => ( ( c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Ozero__class_Ozero(X7))
         => c_Groups_Oabs__class_Oabs(X7,X10) = c_Groups_Ouminus__class_Ouminus(X7,X10) )
        & ( ~ c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Ozero__class_Ozero(X7))
         => c_Groups_Oabs__class_Oabs(X7,X10) = X10 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__if) ).

fof(fact_not__real__of__nat__less__zero,axiom,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X34),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__real__of__nat__less__zero) ).

fof(fact_linorder__cases,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ( X9 != X14
         => c_Orderings_Oord__class_Oless(X7,X14,X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__cases) ).

fof(fact_linorder__neqE,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( X9 != X14
       => ( ~ c_Orderings_Oord__class_Oless(X7,X9,X14)
         => c_Orderings_Oord__class_Oless(X7,X14,X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE) ).

fof(fact_linorder__antisym__conv3,axiom,
    ! [X13,X21,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X21,X13)
       => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
        <=> X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__antisym__conv3) ).

fof(fact_linorder__neqE__linordered__idom,axiom,
    ! [X14,X9,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( X9 != X14
       => ( ~ c_Orderings_Oord__class_Oless(X7,X9,X14)
         => c_Orderings_Oord__class_Oless(X7,X14,X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE__linordered__idom) ).

fof(fact_linorder__le__cases,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
       => c_Orderings_Oord__class_Oless__eq(X7,X14,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__le__cases) ).

fof(fact_leI,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X9,X14)
       => c_Orderings_Oord__class_Oless__eq(X7,X14,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_leI) ).

fof(fact_not__leE,axiom,
    ! [X9,X14,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X7,X14,X9)
       => c_Orderings_Oord__class_Oless(X7,X9,X14) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__leE) ).

fof(fact_zabs__def,axiom,
    ! [X28] :
      ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X28,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
       => c_Groups_Oabs__class_Oabs(tc_Int_Oint,X28) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X28) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X28,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
       => c_Groups_Oabs__class_Oabs(tc_Int_Oint,X28) = X28 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zabs__def) ).

fof(fact_real__abs__def,axiom,
    ! [X8] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X8,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X8) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X8) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X8,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X8) = X8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__abs__def) ).

fof(fact_abs__real__def,axiom,
    ! [X10] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X10) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X10) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X10) = X10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__real__def) ).

fof(fact_not__one__le__zero,axiom,
    ! [X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ~ c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Ozero__class_Ozero(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__one__le__zero) ).

fof(fact_not__one__less__zero,axiom,
    ! [X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Ozero__class_Ozero(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__one__less__zero) ).

fof(fact_Suc__eq__plus1__left,axiom,
    ! [X34] : c_Nat_OSuc(X34) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).

fof(fact_linorder__neqE__nat,axiom,
    ! [X14,X9] :
      ( X9 != X14
     => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X9,X14)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE__nat) ).

fof(fact_order__less__irrefl,axiom,
    ! [X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,X9,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__irrefl) ).

fof(fact_Suc__neq__Zero,axiom,
    ! [X43] : c_Nat_OSuc(X43) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__neq__Zero) ).

fof(fact_nat_Osimps_I3_J,axiom,
    ! [X66] : c_Nat_OSuc(X66) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat_Osimps_I3_J) ).

fof(fact_Suc__not__Zero,axiom,
    ! [X43] : c_Nat_OSuc(X43) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__not__Zero) ).

fof(fact_Zero__neq__Suc,axiom,
    ! [X43] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X43),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__neq__Suc) ).

fof(fact_nat_Osimps_I2_J,axiom,
    ! [X65] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X65),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat_Osimps_I2_J) ).

fof(fact_Zero__not__Suc,axiom,
    ! [X43] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X43),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).

fof(fact_Suc__n__not__n,axiom,
    ! [X34] : c_Nat_OSuc(X34) != X34,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__n__not__n) ).

fof(fact_n__not__Suc__n,axiom,
    ! [X34] : X34 != c_Nat_OSuc(X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).

fof(fact_less__nat__zero__code,axiom,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__nat__zero__code) ).

fof(fact_not__less0,axiom,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less0) ).

fof(fact_less__zeroE,axiom,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__zeroE) ).

fof(fact_rel__simps_I38_J,axiom,
    ! [X19] :
      ( c_Int_OPls = c_Int_OBit0(X19)
    <=> c_Int_OPls = X19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I38_J) ).

fof(fact_rel__simps_I44_J,axiom,
    ! [X20] :
      ( c_Int_OBit0(X20) = c_Int_OPls
    <=> X20 = c_Int_OPls ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I44_J) ).

fof(fact_less__not__refl,axiom,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__not__refl) ).

fof(fact_less__irrefl__nat,axiom,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__irrefl__nat) ).

fof(fact_not__iszero__1,axiom,
    ! [X7] :
      ( class_Rings_Osemiring__1(X7)
     => ~ c_Int_Oiszero(X7,c_Groups_Oone__class_Oone(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__iszero__1) ).

fof(fact_e2,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_e2) ).

fof(fact_real__sqrt__two__ge__zero,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__two__ge__zero) ).

fof(fact_real__sqrt__two__gt__one,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__two__gt__one) ).

fof(fact_real__sqrt__two__gt__zero,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__two__gt__zero) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J) ).

fof(fact_le__fun__def,axiom,
    ! [X1,X2,X7,X53] :
      ( class_Orderings_Oord(X53)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X7,X53),X2,X1)
      <=> ! [X3] : c_Orderings_Oord__class_Oless__eq(X53,hAPP(X2,X3),hAPP(X1,X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__fun__def) ).

fof(fact_lemma__MVT,axiom,
    ! [X26,X27,X2] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X27),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X26),hAPP(X2,X27)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X26,X27)),X27)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X26),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X26),hAPP(X2,X27)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X26,X27)),X26)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__MVT) ).

fof(fact_abs__sum__triangle__ineq,axiom,
    ! [X43,X24,X14,X9] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,X14),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X24),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X43)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X24))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X14,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X43))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__sum__triangle__ineq) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J) ).

fof(fact_pos2,axiom,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos2) ).

fof(fact_numeral__3__eq__3,axiom,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_numeral__3__eq__3) ).

fof(fact_mult_Oprod__diff__prod,axiom,
    ! [X12,X10,X14,X9,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Ominus__class_Ominus(X7,c_Groups_Otimes__class_Otimes(X7,X9,X14),c_Groups_Otimes__class_Otimes(X7,X10,X12)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,c_Groups_Ominus__class_Ominus(X7,X9,X10),c_Groups_Ominus__class_Ominus(X7,X14,X12)),c_Groups_Otimes__class_Otimes(X7,c_Groups_Ominus__class_Ominus(X7,X9,X10),X12)),c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Ominus__class_Ominus(X7,X14,X12))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Oprod__diff__prod) ).

fof(fact_abs__diff__triangle__ineq,axiom,
    ! [X64,X25,X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),c_Groups_Oplus__class_Oplus(X7,X25,X64))),c_Groups_Oplus__class_Oplus(X7,c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,X10,X25)),c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,X12,X64)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__diff__triangle__ineq) ).

fof(fact_norm__diff__triangle__ineq,axiom,
    ! [X64,X25,X12,X10,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ominus__class_Ominus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),c_Groups_Oplus__class_Oplus(X7,X25,X64))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ominus__class_Ominus(X7,X10,X25)),c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ominus__class_Ominus(X7,X12,X64)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__diff__triangle__ineq) ).

fof(fact_poly__cont,axiom,
    ! [X39,X29,X50] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X50)
     => ? [X4] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)
          & ! [X5] :
              ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,X29)))
                & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,X29)),X4) )
             => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X39),X5),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X39),X29))),X50) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__cont) ).

fof(fact_numeral__2__eq__2,axiom,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_numeral__2__eq__2) ).

fof(fact_semiring__norm_I115_J,axiom,
    c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_semiring__norm_I115_J) ).

fof(fact_nat__1__add__1,axiom,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__1__add__1) ).

fof(fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096,axiom,
    ! [X21] :
      ( ? [X57] :
          ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X57),v_r)
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)))),X21) )
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096) ).

fof(fact_mult__diff__mult,axiom,
    ! [X12,X10,X14,X9,X7] :
      ( class_Rings_Oring(X7)
     => c_Groups_Ominus__class_Ominus(X7,c_Groups_Otimes__class_Otimes(X7,X9,X14),c_Groups_Otimes__class_Otimes(X7,X10,X12)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X9,c_Groups_Ominus__class_Ominus(X7,X14,X12)),c_Groups_Otimes__class_Otimes(X7,c_Groups_Ominus__class_Ominus(X7,X9,X10),X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__diff__mult) ).

fof(fact_eq__add__iff1,axiom,
    ! [X30,X26,X31,X83,X27,X7] :
      ( class_Rings_Oring(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X27,X83),X31) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X26,X83),X30)
      <=> c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,c_Groups_Ominus__class_Ominus(X7,X27,X26),X83),X31) = X30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__add__iff1) ).

fof(fact_eq__add__iff2,axiom,
    ! [X30,X26,X31,X83,X27,X7] :
      ( class_Rings_Oring(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X27,X83),X31) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X26,X83),X30)
      <=> X31 = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,c_Groups_Ominus__class_Ominus(X7,X26,X27),X83),X30) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__add__iff2) ).

fof(fact_combine__common__factor,axiom,
    ! [X25,X12,X50,X10,X7] :
      ( class_Rings_Osemiring(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X50),c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X12,X50),X25)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),X50),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_combine__common__factor) ).

fof(fact_abs__diff__less__iff,axiom,
    ! [X6,X27,X13,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,X13,X27)),X6)
      <=> ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ominus__class_Ominus(X7,X27,X6),X13)
          & c_Orderings_Oord__class_Oless(X7,X13,c_Groups_Oplus__class_Oplus(X7,X27,X6)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__diff__less__iff) ).

fof(fact_abs__triangle__ineq3,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12))),c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq3) ).

fof(fact_norm__triangle__ineq3,axiom,
    ! [X12,X10,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X10),c_RealVector_Onorm__class_Onorm(X7,X12))),c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq3) ).

fof(fact_gt__half__sum,axiom,
    ! [X12,X10,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => c_Orderings_Oord__class_Oless(X7,c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),c_Groups_Oplus__class_Oplus(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Oone__class_Oone(X7))),X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gt__half__sum) ).

fof(fact_less__half__sum,axiom,
    ! [X12,X10,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => c_Orderings_Oord__class_Oless(X7,X10,c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),c_Groups_Oplus__class_Oplus(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Oone__class_Oone(X7)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__half__sum) ).

fof(fact_complex__mod__triangle__ineq2,axiom,
    ! [X10,X12] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X12,X10)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X12)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X10)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__mod__triangle__ineq2) ).

fof(fact_complex__mod__triangle__sub,axiom,
    ! [X29,X11] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X11),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X11,X29)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X29))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__mod__triangle__sub) ).

fof(fact_nat__diff__split,axiom,
    ! [X26,X27,X45] :
      ( hBOOL(hAPP(X45,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X27,X26)))
    <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27,X26)
         => hBOOL(hAPP(X45,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
        & ! [X4] :
            ( X27 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X26,X4)
           => hBOOL(hAPP(X45,X4)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__diff__split) ).

fof(fact_fz_I2_J,axiom,
    ! [X37] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X37)
     => ? [X38] :
        ! [X36] :
          ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X38,X36)
         => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(v_f____,X36)),v_z____)),X37) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_fz_I2_J) ).

fof(fact_odd__less__0,axiom,
    ! [X52] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X52),X52),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X52,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_odd__less__0) ).

fof(fact_norm__mult__less,axiom,
    ! [X47,X14,X8,X9,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X9),X8)
       => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X14),X47)
         => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,c_Groups_Otimes__class_Otimes(X7,X9,X14)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X8,X47)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__mult__less) ).

fof(fact_norm__add__less,axiom,
    ! [X47,X14,X8,X9,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X9),X8)
       => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X14),X47)
         => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,c_Groups_Oplus__class_Oplus(X7,X9,X14)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X8,X47)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__add__less) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
    ! [X84,X85,X86,X87,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X87,X86),c_Groups_Otimes__class_Otimes(X7,X85,X84)) = c_Groups_Otimes__class_Otimes(X7,X85,c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X87,X86),X84)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
    ! [X84,X85,X86,X87,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X87,X86),c_Groups_Otimes__class_Otimes(X7,X85,X84)) = c_Groups_Otimes__class_Otimes(X7,X87,c_Groups_Otimes__class_Otimes(X7,X86,c_Groups_Otimes__class_Otimes(X7,X85,X84))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J) ).

fof(fact_mult__mono_H,axiom,
    ! [X64,X25,X12,X10,X7] :
      ( class_Rings_Oordered__semiring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X25,X64)
         => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
           => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X25)
             => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X10,X25),c_Groups_Otimes__class_Otimes(X7,X12,X64)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__mono_H) ).

fof(fact_mult__mono,axiom,
    ! [X64,X25,X12,X10,X7] :
      ( class_Rings_Oordered__semiring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X25,X64)
         => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12)
           => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X25)
             => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X10,X25),c_Groups_Otimes__class_Otimes(X7,X12,X64)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__mono) ).

fof(fact_frac__le,axiom,
    ! [X29,X11,X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X9)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
         => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X11)
           => ( c_Orderings_Oord__class_Oless__eq(X7,X11,X29)
             => c_Orderings_Oord__class_Oless__eq(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X29),c_Rings_Oinverse__class_Odivide(X7,X14,X11)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_frac__le) ).

fof(fact_frac__less,axiom,
    ! [X29,X11,X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X9)
       => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
         => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X11)
           => ( c_Orderings_Oord__class_Oless__eq(X7,X11,X29)
             => c_Orderings_Oord__class_Oless(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X29),c_Rings_Oinverse__class_Odivide(X7,X14,X11)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_frac__less) ).

fof(fact_frac__less2,axiom,
    ! [X29,X11,X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X9)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
         => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X11)
           => ( c_Orderings_Oord__class_Oless(X7,X11,X29)
             => c_Orderings_Oord__class_Oless(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X29),c_Rings_Oinverse__class_Odivide(X7,X14,X11)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_frac__less2) ).

fof(fact_abs__mult__less,axiom,
    ! [X64,X12,X25,X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oabs__class_Oabs(X7,X10),X25)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oabs__class_Oabs(X7,X12),X64)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12)),c_Groups_Otimes__class_Otimes(X7,X25,X64)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__mult__less) ).

fof(fact_le__diff__iff,axiom,
    ! [X41,X42,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20,X42)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20,X41)
       => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X42,X20),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X41,X20))
        <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__diff__iff) ).

fof(fact_less__diff__iff,axiom,
    ! [X41,X42,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20,X42)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20,X41)
       => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X42,X20),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X41,X20))
        <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__diff__iff) ).

fof(fact_add__number__of__diff2,axiom,
    ! [X11,X25,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Groups_Ominus__class_Ominus(X7,X25,c_Int_Onumber__class_Onumber__of(X7,X11))) = c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11))),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__number__of__diff2) ).

fof(fact_power__less__imp__less__base,axiom,
    ! [X12,X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X10,X34),c_Power_Opower__class_Opower(X7,X12,X34))
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless(X7,X10,X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__less__imp__less__base) ).

fof(fact_mult__less__cancel__left__pos,axiom,
    ! [X26,X27,X31,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X31)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X31,X27),c_Groups_Otimes__class_Otimes(X7,X31,X26))
        <=> c_Orderings_Oord__class_Oless(X7,X27,X26) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel__left__pos) ).

fof(fact_mult__less__cancel__left__neg,axiom,
    ! [X26,X27,X31,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X31,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X31,X27),c_Groups_Otimes__class_Otimes(X7,X31,X26))
        <=> c_Orderings_Oord__class_Oless(X7,X26,X27) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel__left__neg) ).

fof(fact_power__increasing__iff,axiom,
    ! [X21,X13,X26,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X26)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Power_Opower__class_Opower(X7,X26,X13),c_Power_Opower__class_Opower(X7,X26,X21))
        <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X13,X21) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__increasing__iff) ).

fof(fact_power__le__imp__le__exp,axiom,
    ! [X34,X43,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Power_Opower__class_Opower(X7,X10,X43),c_Power_Opower__class_Opower(X7,X10,X34))
         => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__le__imp__le__exp) ).

fof(fact_power__less__imp__less__exp,axiom,
    ! [X34,X43,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X10)
       => ( c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X10,X43),c_Power_Opower__class_Opower(X7,X10,X34))
         => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__less__imp__less__exp) ).

fof(fact_power__strict__increasing__iff,axiom,
    ! [X21,X13,X26,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X26)
       => ( c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X26,X13),c_Power_Opower__class_Opower(X7,X26,X21))
        <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,X21) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__strict__increasing__iff) ).

fof(fact_left__distrib__number__of,axiom,
    ! [X22,X12,X10,X53] :
      ( ( class_Int_Onumber(X53)
        & class_Rings_Osemiring(X53) )
     => c_Groups_Otimes__class_Otimes(X53,c_Groups_Oplus__class_Oplus(X53,X10,X12),c_Int_Onumber__class_Onumber__of(X53,X22)) = c_Groups_Oplus__class_Oplus(X53,c_Groups_Otimes__class_Otimes(X53,X10,c_Int_Onumber__class_Onumber__of(X53,X22)),c_Groups_Otimes__class_Otimes(X53,X12,c_Int_Onumber__class_Onumber__of(X53,X22))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_left__distrib__number__of) ).

fof(fact_left__diff__distrib__number__of,axiom,
    ! [X22,X12,X10,X53] :
      ( ( class_Int_Onumber(X53)
        & class_Rings_Oring(X53) )
     => c_Groups_Otimes__class_Otimes(X53,c_Groups_Ominus__class_Ominus(X53,X10,X12),c_Int_Onumber__class_Onumber__of(X53,X22)) = c_Groups_Ominus__class_Ominus(X53,c_Groups_Otimes__class_Otimes(X53,X10,c_Int_Onumber__class_Onumber__of(X53,X22)),c_Groups_Otimes__class_Otimes(X53,X12,c_Int_Onumber__class_Onumber__of(X53,X22))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_left__diff__distrib__number__of) ).

fof(fact_right__distrib__number__of,axiom,
    ! [X25,X12,X22,X53] :
      ( ( class_Int_Onumber(X53)
        & class_Rings_Osemiring(X53) )
     => c_Groups_Otimes__class_Otimes(X53,c_Int_Onumber__class_Onumber__of(X53,X22),c_Groups_Oplus__class_Oplus(X53,X12,X25)) = c_Groups_Oplus__class_Oplus(X53,c_Groups_Otimes__class_Otimes(X53,c_Int_Onumber__class_Onumber__of(X53,X22),X12),c_Groups_Otimes__class_Otimes(X53,c_Int_Onumber__class_Onumber__of(X53,X22),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_right__distrib__number__of) ).

fof(fact_right__diff__distrib__number__of,axiom,
    ! [X25,X12,X22,X53] :
      ( ( class_Int_Onumber(X53)
        & class_Rings_Oring(X53) )
     => c_Groups_Otimes__class_Otimes(X53,c_Int_Onumber__class_Onumber__of(X53,X22),c_Groups_Ominus__class_Ominus(X53,X12,X25)) = c_Groups_Ominus__class_Ominus(X53,c_Groups_Otimes__class_Otimes(X53,c_Int_Onumber__class_Onumber__of(X53,X22),X12),c_Groups_Otimes__class_Otimes(X53,c_Int_Onumber__class_Onumber__of(X53,X22),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_right__diff__distrib__number__of) ).

fof(fact_eq__number__of__eq,axiom,
    ! [X21,X13,X7] :
      ( class_Int_Onumber__ring(X7)
     => ( c_Int_Onumber__class_Onumber__of(X7,X13) = c_Int_Onumber__class_Onumber__of(X7,X21)
      <=> c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X13,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X21)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__number__of__eq) ).

fof(fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096,axiom,
    ( ? [X57] :
        ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X57),v_r)
        & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) )
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096) ).

fof(fact_nat__power__less__imp__less,axiom,
    ! [X34,X43,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X28)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X28,X43),c_Power_Opower__class_Opower(tc_Nat_Onat,X28,X34))
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__power__less__imp__less) ).

fof(fact_real__mult__less__iff1,axiom,
    ! [X21,X13,X52] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X52)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X13,X52),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X21,X52))
      <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__less__iff1) ).

fof(fact_power__decreasing,axiom,
    ! [X10,X79,X34,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X79)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
         => ( c_Orderings_Oord__class_Oless__eq(X7,X10,c_Groups_Oone__class_Oone(X7))
           => c_Orderings_Oord__class_Oless__eq(X7,c_Power_Opower__class_Opower(X7,X10,X79),c_Power_Opower__class_Opower(X7,X10,X34)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__decreasing) ).

fof(fact_power__strict__decreasing,axiom,
    ! [X10,X79,X34,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,X79)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
         => ( c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Oone__class_Oone(X7))
           => c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X10,X79),c_Power_Opower__class_Opower(X7,X10,X34)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__strict__decreasing) ).

fof(fact_mult__less__cancel__left__disj,axiom,
    ! [X26,X27,X31,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X31,X27),c_Groups_Otimes__class_Otimes(X7,X31,X26))
      <=> ( ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X31)
            & c_Orderings_Oord__class_Oless(X7,X27,X26) )
          | ( c_Orderings_Oord__class_Oless(X7,X31,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless(X7,X26,X27) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel__left__disj) ).

fof(fact_mult__less__cancel__right__disj,axiom,
    ! [X26,X31,X27,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X27,X31),c_Groups_Otimes__class_Otimes(X7,X26,X31))
      <=> ( ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X31)
            & c_Orderings_Oord__class_Oless(X7,X27,X26) )
          | ( c_Orderings_Oord__class_Oless(X7,X31,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless(X7,X26,X27) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel__right__disj) ).

fof(fact_eq__special_I1_J,axiom,
    ! [X21,X7] :
      ( class_Int_Onumber__ring(X7)
     => ( c_Groups_Ozero__class_Ozero(X7) = c_Int_Onumber__class_Onumber__of(X7,X21)
      <=> c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X21)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__special_I1_J) ).

fof(fact_power__strict__mono,axiom,
    ! [X34,X12,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
         => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34)
           => c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X10,X34),c_Power_Opower__class_Opower(X7,X12,X34)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__strict__mono) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
    ! [X84,X85,X86,X87,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X87,X86),c_Groups_Otimes__class_Otimes(X7,X85,X84)) = c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X87,X85),c_Groups_Otimes__class_Otimes(X7,X86,X84)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J) ).

fof(fact_times__divide__times__eq,axiom,
    ! [X11,X29,X14,X9,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X14),c_Rings_Oinverse__class_Odivide(X7,X29,X11)) = c_Rings_Oinverse__class_Odivide(X7,c_Groups_Otimes__class_Otimes(X7,X9,X29),c_Groups_Otimes__class_Otimes(X7,X14,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_times__divide__times__eq) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
    ! [X64,X25,X12,X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),c_Groups_Oplus__class_Oplus(X7,X25,X64)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X64)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) ).

fof(fact_Deriv_Oadd__diff__add,axiom,
    ! [X64,X12,X25,X10,X7] :
      ( class_Groups_Oab__group__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X64)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12),c_Groups_Ominus__class_Ominus(X7,X25,X64)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Deriv_Oadd__diff__add) ).

fof(fact_eq__special_I3_J,axiom,
    ! [X13,X7] :
      ( class_Int_Onumber__ring(X7)
     => ( c_Int_Onumber__class_Onumber__of(X7,X13) = c_Groups_Ozero__class_Ozero(X7)
      <=> c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X13,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__special_I3_J) ).

fof(fact_mult__number__of__left,axiom,
    ! [X29,X11,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Groups_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X7,X11),X29)) = c_Groups_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X7,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X22,X11)),X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__number__of__left) ).

fof(fact_add__number__of__left,axiom,
    ! [X29,X11,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,X11),X29)) = c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,X11)),X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__number__of__left) ).

fof(fact_add__number__of__diff1,axiom,
    ! [X25,X11,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Groups_Ominus__class_Ominus(X7,c_Int_Onumber__class_Onumber__of(X7,X11),X25)) = c_Groups_Ominus__class_Ominus(X7,c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,X11)),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__number__of__diff1) ).

fof(fact_power__diff,axiom,
    ! [X43,X34,X10,X7] :
      ( class_Fields_Ofield(X7)
     => ( X10 != c_Groups_Ozero__class_Ozero(X7)
       => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X43)
         => c_Power_Opower__class_Opower(X7,X10,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34)) = c_Rings_Oinverse__class_Odivide(X7,c_Power_Opower__class_Opower(X7,X10,X43),c_Power_Opower__class_Opower(X7,X10,X34)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__diff) ).

fof(fact_s1,axiom,
    ! [X21] :
      ( ? [X57] :
          ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X57),v_r)
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)),X21) )
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s1) ).

fof(fact_abs__triangle__ineq2,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ominus__class_Ominus(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12)),c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq2) ).

fof(fact_abs__triangle__ineq2__sym,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ominus__class_Ominus(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12)),c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,X12,X10))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq2__sym) ).

fof(fact_abs__triangle__ineq,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oabs__class_Oabs(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12)),c_Groups_Oplus__class_Oplus(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq) ).

fof(fact_abs__triangle__ineq4,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12)),c_Groups_Oplus__class_Oplus(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq4) ).

fof(fact_natceiling__eq,axiom,
    ! [X9,X34] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X34),X9)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X34),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
       => c_RComplete_Onatceiling(X9) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__eq) ).

fof(fact_norm__diff__ineq,axiom,
    ! [X12,X10,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X10),c_RealVector_Onorm__class_Onorm(X7,X12)),c_RealVector_Onorm__class_Onorm(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__diff__ineq) ).

fof(fact_norm__triangle__ineq2,axiom,
    ! [X12,X10,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X10),c_RealVector_Onorm__class_Onorm(X7,X12)),c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq2) ).

fof(fact_norm__mult__ineq,axiom,
    ! [X14,X9,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,c_Groups_Otimes__class_Otimes(X7,X9,X14)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X9),c_RealVector_Onorm__class_Onorm(X7,X14))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__mult__ineq) ).

fof(fact_norm__triangle__ineq,axiom,
    ! [X14,X9,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,c_Groups_Oplus__class_Oplus(X7,X9,X14)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X9),c_RealVector_Onorm__class_Onorm(X7,X14))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq) ).

fof(fact_norm__triangle__ineq4,axiom,
    ! [X12,X10,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X10),c_RealVector_Onorm__class_Onorm(X7,X12))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq4) ).

fof(fact_poly__mult,axiom,
    ! [X9,X40,X39,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7),X39,X40)),X9) = c_Groups_Otimes__class_Otimes(X7,hAPP(c_Polynomial_Opoly(X7,X39),X9),hAPP(c_Polynomial_Opoly(X7,X40),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__mult) ).

fof(fact_poly__add,axiom,
    ! [X9,X40,X39,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X7),X39,X40)),X9) = c_Groups_Oplus__class_Oplus(X7,hAPP(c_Polynomial_Opoly(X7,X39),X9),hAPP(c_Polynomial_Opoly(X7,X40),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__add) ).

fof(fact_poly__diff,axiom,
    ! [X9,X40,X39,X7] :
      ( class_Rings_Ocomm__ring(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X7),X39,X40)),X9) = c_Groups_Ominus__class_Ominus(X7,hAPP(c_Polynomial_Opoly(X7,X39),X9),hAPP(c_Polynomial_Opoly(X7,X40),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__diff) ).

fof(fact_le__diff__conv2,axiom,
    ! [X78,X77,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20,X77)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X77,X20))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X78,X20),X77) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__diff__conv2) ).

fof(fact_add__le__cancel__right,axiom,
    ! [X26,X31,X27,X7] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,X27,X31),c_Groups_Oplus__class_Oplus(X7,X26,X31))
      <=> c_Orderings_Oord__class_Oless__eq(X7,X27,X26) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__cancel__right) ).

fof(fact_add__le__imp__le__right,axiom,
    ! [X12,X25,X10,X7] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X25))
       => c_Orderings_Oord__class_Oless__eq(X7,X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__imp__le__right) ).

fof(fact_add__le__cancel__left,axiom,
    ! [X26,X27,X31,X7] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,X31,X27),c_Groups_Oplus__class_Oplus(X7,X31,X26))
      <=> c_Orderings_Oord__class_Oless__eq(X7,X27,X26) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__cancel__left) ).

fof(fact_add__le__imp__le__left,axiom,
    ! [X12,X10,X25,X7] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,X25,X10),c_Groups_Oplus__class_Oplus(X7,X25,X12))
       => c_Orderings_Oord__class_Oless__eq(X7,X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__imp__le__left) ).

fof(fact_add__less__cancel__right,axiom,
    ! [X26,X31,X27,X7] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X27,X31),c_Groups_Oplus__class_Oplus(X7,X26,X31))
      <=> c_Orderings_Oord__class_Oless(X7,X27,X26) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__cancel__right) ).

fof(fact_add__less__imp__less__right,axiom,
    ! [X12,X25,X10,X7] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X25))
       => c_Orderings_Oord__class_Oless(X7,X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__imp__less__right) ).

fof(fact_add__less__cancel__left,axiom,
    ! [X26,X27,X31,X7] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X31,X27),c_Groups_Oplus__class_Oplus(X7,X31,X26))
      <=> c_Orderings_Oord__class_Oless(X7,X27,X26) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__cancel__left) ).

fof(fact_add__less__imp__less__left,axiom,
    ! [X12,X10,X25,X7] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X25,X10),c_Groups_Oplus__class_Oplus(X7,X25,X12))
       => c_Orderings_Oord__class_Oless(X7,X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__imp__less__left) ).

fof(fact_Nat_Odiff__diff__eq,axiom,
    ! [X34,X43,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X43)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X34)
       => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X16),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X16)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Odiff__diff__eq) ).

fof(fact_nat__add__left__cancel__le,axiom,
    ! [X41,X42,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X20,X42),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X20,X41))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__left__cancel__le) ).

fof(fact_nat__add__left__cancel__less,axiom,
    ! [X41,X42,X20] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X20,X42),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X20,X41))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__left__cancel__less) ).

fof(fact_power__eq__imp__eq__base,axiom,
    ! [X12,X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Power_Opower__class_Opower(X7,X10,X34) = c_Power_Opower__class_Opower(X7,X12,X34)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
         => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12)
           => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34)
             => X10 = X12 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__eq__imp__eq__base) ).

fof(fact_mult__right__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Oordered__semiring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X25)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X10,X25),c_Groups_Otimes__class_Otimes(X7,X12,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right__mono) ).

fof(fact_comm__mult__left__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Oordered__comm__semiring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X25)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X25,X10),c_Groups_Otimes__class_Otimes(X7,X25,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__mult__left__mono) ).

fof(fact_mult__left__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Oordered__semiring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X25)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X25,X10),c_Groups_Otimes__class_Otimes(X7,X25,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__mono) ).

fof(fact_power__mono,axiom,
    ! [X34,X12,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Power_Opower__class_Opower(X7,X10,X34),c_Power_Opower__class_Opower(X7,X12,X34)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__mono) ).

fof(fact_divide__right__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Fields_Olinordered__field__inverse__zero(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X25)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X25),c_Rings_Oinverse__class_Odivide(X7,X12,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__right__mono) ).

fof(fact_mult__strict__right__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Olinordered__semiring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X25)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X10,X25),c_Groups_Otimes__class_Otimes(X7,X12,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__right__mono) ).

fof(fact_comm__mult__strict__left__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Olinordered__comm__semiring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X25)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X25,X10),c_Groups_Otimes__class_Otimes(X7,X25,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__mult__strict__left__mono) ).

fof(fact_mult__strict__left__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Olinordered__semiring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X25)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X25,X10),c_Groups_Otimes__class_Otimes(X7,X25,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__left__mono) ).

fof(fact_divide__strict__right__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X25)
         => c_Orderings_Oord__class_Oless(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X25),c_Rings_Oinverse__class_Odivide(X7,X12,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__strict__right__mono) ).

fof(fact_mult__right__mono__neg,axiom,
    ! [X25,X10,X12,X7] :
      ( class_Rings_Oordered__ring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X12,X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X25,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X10,X25),c_Groups_Otimes__class_Otimes(X7,X12,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right__mono__neg) ).

fof(fact_mult__left__mono__neg,axiom,
    ! [X25,X10,X12,X7] :
      ( class_Rings_Oordered__ring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X12,X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X25,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X25,X10),c_Groups_Otimes__class_Otimes(X7,X25,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__mono__neg) ).

fof(fact_divide__right__mono__neg,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Fields_Olinordered__field__inverse__zero(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X25,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Rings_Oinverse__class_Odivide(X7,X12,X25),c_Rings_Oinverse__class_Odivide(X7,X10,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__right__mono__neg) ).

fof(fact_mult__strict__right__mono__neg,axiom,
    ! [X25,X10,X12,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X12,X10)
       => ( c_Orderings_Oord__class_Oless(X7,X25,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X10,X25),c_Groups_Otimes__class_Otimes(X7,X12,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__right__mono__neg) ).

fof(fact_mult__strict__left__mono__neg,axiom,
    ! [X25,X10,X12,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X12,X10)
       => ( c_Orderings_Oord__class_Oless(X7,X25,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X25,X10),c_Groups_Otimes__class_Otimes(X7,X25,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__left__mono__neg) ).

fof(fact_divide__strict__right__mono__neg,axiom,
    ! [X25,X10,X12,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X12,X10)
       => ( c_Orderings_Oord__class_Oless(X7,X25,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X25),c_Rings_Oinverse__class_Odivide(X7,X12,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__strict__right__mono__neg) ).

fof(fact_norm__power__ineq,axiom,
    ! [X34,X9,X7] :
      ( class_RealVector_Oreal__normed__algebra__1(X7)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,c_Power_Opower__class_Opower(X7,X9,X34)),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X9),X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__power__ineq) ).

fof(fact_power__increasing,axiom,
    ! [X10,X79,X34,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X79)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oone__class_Oone(X7),X10)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Power_Opower__class_Opower(X7,X10,X34),c_Power_Opower__class_Opower(X7,X10,X79)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__increasing) ).

fof(fact_power__strict__increasing,axiom,
    ! [X10,X79,X34,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,X79)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X10)
         => c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X10,X34),c_Power_Opower__class_Opower(X7,X10,X79)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__strict__increasing) ).

fof(fact_le__add__diff,axiom,
    ! [X43,X34,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X34)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,X43),X16)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add__diff) ).

fof(fact_add__mono,axiom,
    ! [X64,X25,X12,X10,X7] :
      ( class_Groups_Oordered__ab__semigroup__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X25,X64)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X64)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__mono) ).

fof(fact_add__less__le__mono,axiom,
    ! [X64,X25,X12,X10,X7] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X25,X64)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X64)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__le__mono) ).

fof(fact_add__le__less__mono,axiom,
    ! [X64,X25,X12,X10,X7] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless(X7,X25,X64)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X64)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__less__mono) ).

fof(fact_add__strict__mono,axiom,
    ! [X64,X25,X12,X10,X7] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless(X7,X25,X64)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X64)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__mono) ).

fof(fact_nonzero__power__divide,axiom,
    ! [X34,X10,X12,X7] :
      ( class_Fields_Ofield(X7)
     => ( X12 != c_Groups_Ozero__class_Ozero(X7)
       => c_Power_Opower__class_Opower(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X12),X34) = c_Rings_Oinverse__class_Odivide(X7,c_Power_Opower__class_Opower(X7,X10,X34),c_Power_Opower__class_Opower(X7,X12,X34)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__power__divide) ).

fof(fact_sum__squares__eq__zero__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X13,X13),c_Groups_Otimes__class_Otimes(X7,X21,X21)) = c_Groups_Ozero__class_Ozero(X7)
      <=> ( X13 = c_Groups_Ozero__class_Ozero(X7)
          & X21 = c_Groups_Ozero__class_Ozero(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__squares__eq__zero__iff) ).

fof(fact_comm__semiring__class_Odistrib,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Ocomm__semiring(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),X25) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X25),c_Groups_Otimes__class_Otimes(X7,X12,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__class_Odistrib) ).

fof(fact_mult__left_Oadd,axiom,
    ! [X23,X14,X9,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Oplus__class_Oplus(X7,X9,X14),X23) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X9,X23),c_Groups_Otimes__class_Otimes(X7,X14,X23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Oadd) ).

fof(fact_mult_Oadd__left,axiom,
    ! [X12,X82,X10,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Oplus__class_Oplus(X7,X10,X82),X12) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),c_Groups_Otimes__class_Otimes(X7,X82,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Oadd__left) ).

fof(fact_mult__left_Odiff,axiom,
    ! [X23,X14,X9,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ominus__class_Ominus(X7,X9,X14),X23) = c_Groups_Ominus__class_Ominus(X7,c_Groups_Otimes__class_Otimes(X7,X9,X23),c_Groups_Otimes__class_Otimes(X7,X14,X23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Odiff) ).

fof(fact_mult_Odiff__left,axiom,
    ! [X12,X82,X10,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ominus__class_Ominus(X7,X10,X82),X12) = c_Groups_Ominus__class_Ominus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),c_Groups_Otimes__class_Otimes(X7,X82,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Odiff__left) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
    ! [X40,X14,X9,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Power_Opower__class_Opower(X7,c_Groups_Otimes__class_Otimes(X7,X9,X14),X40) = c_Groups_Otimes__class_Otimes(X7,c_Power_Opower__class_Opower(X7,X9,X40),c_Power_Opower__class_Opower(X7,X14,X40)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).

fof(fact_power__divide,axiom,
    ! [X34,X12,X10,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => c_Power_Opower__class_Opower(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X12),X34) = c_Rings_Oinverse__class_Odivide(X7,c_Power_Opower__class_Opower(X7,X10,X34),c_Power_Opower__class_Opower(X7,X12,X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__divide) ).

fof(fact_add__divide__distrib,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Odivision__ring(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),X25) = c_Groups_Oplus__class_Oplus(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X25),c_Rings_Oinverse__class_Odivide(X7,X12,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__divide__distrib) ).

fof(fact_divide_Oadd,axiom,
    ! [X23,X14,X9,X7] :
      ( class_RealVector_Oreal__normed__field(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oplus__class_Oplus(X7,X9,X14),X23) = c_Groups_Oplus__class_Oplus(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X23),c_Rings_Oinverse__class_Odivide(X7,X14,X23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide_Oadd) ).

fof(fact_diff__divide__distrib,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Odivision__ring(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12),X25) = c_Groups_Ominus__class_Ominus(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X25),c_Rings_Oinverse__class_Odivide(X7,X12,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__divide__distrib) ).

fof(fact_divide_Odiff,axiom,
    ! [X23,X14,X9,X7] :
      ( class_RealVector_Oreal__normed__field(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ominus__class_Ominus(X7,X9,X14),X23) = c_Groups_Ominus__class_Ominus(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X23),c_Rings_Oinverse__class_Odivide(X7,X14,X23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide_Odiff) ).

fof(fact_mult__right_Oadd,axiom,
    ! [X14,X9,X80,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,X80,c_Groups_Oplus__class_Oplus(X7,X9,X14)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X80,X9),c_Groups_Otimes__class_Otimes(X7,X80,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Oadd) ).

fof(fact_mult_Oadd__right,axiom,
    ! [X81,X12,X10,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Oplus__class_Oplus(X7,X12,X81)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),c_Groups_Otimes__class_Otimes(X7,X10,X81)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Oadd__right) ).

fof(fact_mult__right_Odiff,axiom,
    ! [X14,X9,X80,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,X80,c_Groups_Ominus__class_Ominus(X7,X9,X14)) = c_Groups_Ominus__class_Ominus(X7,c_Groups_Otimes__class_Otimes(X7,X80,X9),c_Groups_Otimes__class_Otimes(X7,X80,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Odiff) ).

fof(fact_mult_Odiff__right,axiom,
    ! [X81,X12,X10,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Ominus__class_Ominus(X7,X12,X81)) = c_Groups_Ominus__class_Ominus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),c_Groups_Otimes__class_Otimes(X7,X10,X81)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Odiff__right) ).

fof(fact_real__mult__less__mono2,axiom,
    ! [X14,X9,X29] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X29)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X9,X14)
       => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X29,X9),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X29,X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__less__mono2) ).

fof(fact_add__le__mono,axiom,
    ! [X24,X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X28,X44)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X24)
       => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X16),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X24)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__mono) ).

fof(fact_add__less__mono,axiom,
    ! [X24,X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,X44)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X16,X24)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X16),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X24)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__mono) ).

fof(fact_diff__less__mono,axiom,
    ! [X25,X12,X10] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X10,X12)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25,X10)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X10,X25),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X12,X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__less__mono) ).

fof(fact_diff__less__mono2,axiom,
    ! [X24,X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X24)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X24,X34),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X24,X43)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__less__mono2) ).

fof(fact_zadd__zless__mono,axiom,
    ! [X29,X75,X11,X76] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X76,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X75,X29)
       => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X76,X75),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X11,X29)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__zless__mono) ).

fof(fact_zero__less__mult__pos2,axiom,
    ! [X10,X12,X7] :
      ( class_Rings_Olinordered__semiring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Otimes__class_Otimes(X7,X12,X10))
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__mult__pos2) ).

fof(fact_zero__less__mult__pos,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Olinordered__semiring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Otimes__class_Otimes(X7,X10,X12))
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__mult__pos) ).

fof(fact_nat__less__real__le,axiom,
    ! [X42,X41] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,X42)
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X41),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X42)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__less__real__le) ).

fof(fact_nat__le__real__less,axiom,
    ! [X42,X41] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X41,X42)
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X41),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X42),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__le__real__less) ).

fof(fact_poly__power,axiom,
    ! [X9,X34,X39,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X7),X39,X34)),X9) = c_Power_Opower__class_Opower(X7,hAPP(c_Polynomial_Opoly(X7,X39),X9),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__power) ).

fof(fact_real__two__squares__add__zero__iff,axiom,
    ! [X21,X13] :
      ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X13,X13),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X21,X21)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    <=> ( X13 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        & X21 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__two__squares__add__zero__iff) ).

fof(fact_real__add__mult__distrib,axiom,
    ! [X11,X71,X72] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X72,X71),X11) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X72,X11),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X71,X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__mult__distrib) ).

fof(fact_le__diff__conv,axiom,
    ! [X78,X20,X77] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X77,X20),X78)
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X77,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X78,X20)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__diff__conv) ).

fof(fact_less__diff__conv,axiom,
    ! [X20,X77,X78] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X78,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X77,X20))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X78,X20),X77) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__diff__conv) ).

fof(fact_add__diff__assoc2,axiom,
    ! [X28,X44,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X44)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X44,X16),X28) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X28),X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__assoc2) ).

fof(fact_diff__add__assoc2,axiom,
    ! [X28,X44,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X44)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X28),X16) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X44,X16),X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__assoc2) ).

fof(fact_diff__add__assoc,axiom,
    ! [X28,X44,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X44)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X44),X16) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X44,X16)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__assoc) ).

fof(fact_add__diff__assoc,axiom,
    ! [X28,X44,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X44)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X44,X16)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X44),X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__assoc) ).

fof(fact_diff__diff__right,axiom,
    ! [X28,X44,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X44)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X28,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X44,X16)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X16),X44) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__diff__right) ).

fof(fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096,axiom,
    ? [X60] :
    ! [X56] :
      ( ? [X3] :
          ( ? [X57] :
              ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X57),v_r)
              & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3) )
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X56,X3) )
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X56,X60) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096) ).

fof(fact_s,axiom,
    ! [X56] :
      ( ? [X3] :
          ( ? [X57] :
              ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X57),v_r)
              & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3) )
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X56,X3) )
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X56,v_s____) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s) ).

fof(fact_zero__less__power__nat__eq__number__of,axiom,
    ! [X15,X13] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X13,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X15)))
    <=> ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X15) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__power__nat__eq__number__of) ).

fof(fact_mult__le__0__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X27,X26),c_Groups_Ozero__class_Ozero(X7))
      <=> ( ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X27)
            & c_Orderings_Oord__class_Oless__eq(X7,X26,c_Groups_Ozero__class_Ozero(X7)) )
          | ( c_Orderings_Oord__class_Oless__eq(X7,X27,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X26) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__0__iff) ).

fof(fact_divide__le__0__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Fields_Olinordered__field__inverse__zero(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Rings_Oinverse__class_Odivide(X7,X27,X26),c_Groups_Ozero__class_Ozero(X7))
      <=> ( ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X27)
            & c_Orderings_Oord__class_Oless__eq(X7,X26,c_Groups_Ozero__class_Ozero(X7)) )
          | ( c_Orderings_Oord__class_Oless__eq(X7,X27,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X26) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__le__0__iff) ).

fof(fact_divide__less__0__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Fields_Olinordered__field__inverse__zero(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Rings_Oinverse__class_Odivide(X7,X27,X26),c_Groups_Ozero__class_Ozero(X7))
      <=> ( ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X27)
            & c_Orderings_Oord__class_Oless(X7,X26,c_Groups_Ozero__class_Ozero(X7)) )
          | ( c_Orderings_Oord__class_Oless(X7,X27,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X26) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__less__0__iff) ).

fof(fact_zero__le__mult__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Otimes__class_Otimes(X7,X27,X26))
      <=> ( ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X27)
            & c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X26) )
          | ( c_Orderings_Oord__class_Oless__eq(X7,X27,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless__eq(X7,X26,c_Groups_Ozero__class_Ozero(X7)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__mult__iff) ).

fof(fact_zero__le__divide__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Fields_Olinordered__field__inverse__zero(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Rings_Oinverse__class_Odivide(X7,X27,X26))
      <=> ( ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X27)
            & c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X26) )
          | ( c_Orderings_Oord__class_Oless__eq(X7,X27,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless__eq(X7,X26,c_Groups_Ozero__class_Ozero(X7)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__divide__iff) ).

fof(fact_zero__less__divide__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Fields_Olinordered__field__inverse__zero(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Rings_Oinverse__class_Odivide(X7,X27,X26))
      <=> ( ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X27)
            & c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X26) )
          | ( c_Orderings_Oord__class_Oless(X7,X27,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless(X7,X26,c_Groups_Ozero__class_Ozero(X7)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__divide__iff) ).

fof(fact_real__minus__mult__self__le,axiom,
    ! [X9,X61] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X61,X61)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X9,X9)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__minus__mult__self__le) ).

fof(fact_numeral__1__eq__Suc__0,axiom,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_numeral__1__eq__Suc__0) ).

fof(fact_mult__nonpos__nonneg,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oordered__cancel__semiring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonpos__nonneg) ).

fof(fact_split__mult__neg__le,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oordered__cancel__semiring(X7)
     => ( ( ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
            & c_Orderings_Oord__class_Oless__eq(X7,X12,c_Groups_Ozero__class_Ozero(X7)) )
          | ( c_Orderings_Oord__class_Oless__eq(X7,X10,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12) ) )
       => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_split__mult__neg__le) ).

fof(fact_mult__nonneg__nonpos,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oordered__cancel__semiring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonneg__nonpos) ).

fof(fact_mult__nonneg__nonpos2,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oordered__cancel__semiring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Otimes__class_Otimes(X7,X12,X10),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonneg__nonpos2) ).

fof(fact_divide__nonpos__pos,axiom,
    ! [X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X9,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X14)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X14),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__nonpos__pos) ).

fof(fact_divide__nonneg__neg,axiom,
    ! [X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X9)
       => ( c_Orderings_Oord__class_Oless(X7,X14,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X14),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__nonneg__neg) ).

fof(fact_mult__neg__pos,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Olinordered__semiring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__neg__pos) ).

fof(fact_mult__pos__neg,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Olinordered__semiring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__pos__neg) ).

fof(fact_mult__pos__neg2,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Olinordered__semiring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X12,X10),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__pos__neg2) ).

fof(fact_divide__neg__pos,axiom,
    ! [X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X14)
         => c_Orderings_Oord__class_Oless(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X14),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__neg__pos) ).

fof(fact_divide__pos__neg,axiom,
    ! [X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X9)
       => ( c_Orderings_Oord__class_Oless(X7,X14,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X14),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__pos__neg) ).

fof(fact_add__nonpos__nonpos,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless__eq(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonpos__nonpos) ).

fof(fact_add__neg__nonpos,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless__eq(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__neg__nonpos) ).

fof(fact_add__nonpos__neg,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonpos__neg) ).

fof(fact_add__neg__neg,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),c_Groups_Ozero__class_Ozero(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__neg__neg) ).

fof(fact_split__mult__pos__le,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oordered__ring(X7)
     => ( ( ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
            & c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12) )
          | ( c_Orderings_Oord__class_Oless__eq(X7,X10,c_Groups_Ozero__class_Ozero(X7))
            & c_Orderings_Oord__class_Oless__eq(X7,X12,c_Groups_Ozero__class_Ozero(X7)) ) )
       => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Otimes__class_Otimes(X7,X10,X12)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_split__mult__pos__le) ).

fof(fact_mult__nonneg__nonneg,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oordered__cancel__semiring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Otimes__class_Otimes(X7,X10,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonneg__nonneg) ).

fof(fact_add__nonneg__nonneg,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oplus__class_Oplus(X7,X10,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonneg__nonneg) ).

fof(fact_divide__nonneg__pos,axiom,
    ! [X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X9)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X14)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Rings_Oinverse__class_Odivide(X7,X9,X14)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__nonneg__pos) ).

fof(fact_less__1__mult,axiom,
    ! [X34,X43,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X43)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X34)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Otimes__class_Otimes(X7,X43,X34)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__1__mult) ).

fof(fact_mult__pos__pos,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Olinordered__semiring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Otimes__class_Otimes(X7,X10,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__pos__pos) ).

fof(fact_add__pos__nonneg,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oplus__class_Oplus(X7,X10,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__pos__nonneg) ).

fof(fact_add__nonneg__pos,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oplus__class_Oplus(X7,X10,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonneg__pos) ).

fof(fact_add__pos__pos,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X12)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oplus__class_Oplus(X7,X10,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__pos__pos) ).

fof(fact_divide__pos__pos,axiom,
    ! [X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X9)
       => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X14)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Rings_Oinverse__class_Odivide(X7,X9,X14)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__pos__pos) ).

fof(fact_mult__nonpos__nonpos,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oordered__ring(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless__eq(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Otimes__class_Otimes(X7,X10,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonpos__nonpos) ).

fof(fact_divide__nonpos__neg,axiom,
    ! [X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X9,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless(X7,X14,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Rings_Oinverse__class_Odivide(X7,X9,X14)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__nonpos__neg) ).

fof(fact_mult__neg__neg,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Olinordered__ring__strict(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless(X7,X12,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Otimes__class_Otimes(X7,X10,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__neg__neg) ).

fof(fact_divide__neg__neg,axiom,
    ! [X14,X9,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,c_Groups_Ozero__class_Ozero(X7))
       => ( c_Orderings_Oord__class_Oless(X7,X14,c_Groups_Ozero__class_Ozero(X7))
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Rings_Oinverse__class_Odivide(X7,X9,X14)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__neg__neg) ).

fof(fact_poly__bound__exists,axiom,
    ! [X39,X8] :
    ? [X35] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X35)
      & ! [X57] :
          ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X57),X8)
         => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X39),X57)),X35) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__bound__exists) ).

fof(fact_add__gr__0,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X41))
    <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X42)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X41) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__gr__0) ).

fof(fact_real__0__le__divide__iff,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X13,X21))
    <=> ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
          | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X21) )
        & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X13)
          | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__0__le__divide__iff) ).

fof(fact_add__right__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Oordered__ab__semigroup__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__right__mono) ).

fof(fact_add__left__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Oordered__ab__semigroup__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,X25,X10),c_Groups_Oplus__class_Oplus(X7,X25,X12)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__left__mono) ).

fof(fact_add__strict__right__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),c_Groups_Oplus__class_Oplus(X7,X12,X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__right__mono) ).

fof(fact_add__strict__left__mono,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X25,X10),c_Groups_Oplus__class_Oplus(X7,X25,X12)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__left__mono) ).

fof(fact_one__less__power,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X10)
       => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34)
         => c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),c_Power_Opower__class_Opower(X7,X10,X34)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__less__power) ).

fof(fact_decseq__def,axiom,
    ! [X51,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_SEQ_Odecseq(X7,X51)
      <=> ! [X35,X36] :
            ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X35,X36)
           => c_Orderings_Oord__class_Oless__eq(X7,hAPP(X51,X36),hAPP(X51,X35)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_decseq__def) ).

fof(fact_add__increasing,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X12,X25)
         => c_Orderings_Oord__class_Oless__eq(X7,X12,c_Groups_Oplus__class_Oplus(X7,X10,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__increasing) ).

fof(fact_add__increasing2,axiom,
    ! [X10,X12,X25,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X25)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X12,X10)
         => c_Orderings_Oord__class_Oless__eq(X7,X12,c_Groups_Oplus__class_Oplus(X7,X10,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__increasing2) ).

fof(fact_add__strict__increasing,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X12,X25)
         => c_Orderings_Oord__class_Oless(X7,X12,c_Groups_Oplus__class_Oplus(X7,X10,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__increasing) ).

fof(fact_add__strict__increasing2,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless(X7,X12,X25)
         => c_Orderings_Oord__class_Oless(X7,X12,c_Groups_Oplus__class_Oplus(X7,X10,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__increasing2) ).

fof(fact_pos__add__strict,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => ( c_Orderings_Oord__class_Oless(X7,X12,X25)
         => c_Orderings_Oord__class_Oless(X7,X12,c_Groups_Oplus__class_Oplus(X7,X10,X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__add__strict) ).

fof(fact_power__one__over,axiom,
    ! [X34,X10,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oone__class_Oone(X7),c_Power_Opower__class_Opower(X7,X10,X34)) = c_Power_Opower__class_Opower(X7,c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oone__class_Oone(X7),X10),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__one__over) ).

fof(fact_s1m,axiom,
    ! [X29] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X29),v_r)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X29))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s1m) ).

fof(fact_add__le__mono1,axiom,
    ! [X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X28,X44)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X16),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X16)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__mono1) ).

fof(fact_diff__le__mono,axiom,
    ! [X24,X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X24),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__le__mono) ).

fof(fact_diff__le__mono2,axiom,
    ! [X24,X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X24,X34),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X24,X43)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__le__mono2) ).

fof(fact_zadd__left__mono,axiom,
    ! [X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X28,X44)
     => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,X28),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,X44)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__left__mono) ).

fof(fact_real__add__left__mono,axiom,
    ! [X29,X14,X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X14)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X29,X9),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X29,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__left__mono) ).

fof(fact_add__less__mono1,axiom,
    ! [X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,X44)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X16),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X16)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__mono1) ).

fof(fact_zadd__strict__right__mono,axiom,
    ! [X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X28,X44)
     => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X28,X16),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X44,X16)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__strict__right__mono) ).

fof(fact_abs__add__abs,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Groups_Oplus__class_Oplus(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12))) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__abs) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X9)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X14)
       => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X9,X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J) ).

fof(fact_real__mult__order,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X14)
       => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X9,X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__order) ).

fof(fact_eq__diff__iff,axiom,
    ! [X41,X42,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20,X42)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20,X41)
       => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X42,X20) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X41,X20)
        <=> X42 = X41 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__diff__iff) ).

fof(fact_mult__divide__mult__cancel__left,axiom,
    ! [X12,X10,X25,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => ( X25 != c_Groups_Ozero__class_Ozero(X7)
       => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Otimes__class_Otimes(X7,X25,X10),c_Groups_Otimes__class_Otimes(X7,X25,X12)) = c_Rings_Oinverse__class_Odivide(X7,X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__divide__mult__cancel__left) ).

fof(fact_mult__divide__mult__cancel__right,axiom,
    ! [X12,X10,X25,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => ( X25 != c_Groups_Ozero__class_Ozero(X7)
       => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Otimes__class_Otimes(X7,X10,X25),c_Groups_Otimes__class_Otimes(X7,X12,X25)) = c_Rings_Oinverse__class_Odivide(X7,X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__divide__mult__cancel__right) ).

fof(fact_diff__less,axiom,
    ! [X43,X34] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X43)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34),X43) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__less) ).

fof(fact_zero__less__zpower__abs__iff,axiom,
    ! [X41,X13] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X13),X41))
    <=> ( X13 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__zpower__abs__iff) ).

fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oplus__class_Oplus(X7,X27,X27))
      <=> c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X27) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__double__add__iff__zero__le__single__add) ).

fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oplus__class_Oplus(X7,X27,X27))
      <=> c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X27) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__double__add__iff__zero__less__single__add) ).

fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oplus__class_Oplus(X7,X27,X27),c_Groups_Ozero__class_Ozero(X7))
      <=> c_Orderings_Oord__class_Oless__eq(X7,X27,c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__add__le__zero__iff__single__add__le__zero) ).

fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X27,X27),c_Groups_Ozero__class_Ozero(X7))
      <=> c_Orderings_Oord__class_Oless(X7,X27,c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__add__less__zero__iff__single__add__less__zero) ).

fof(fact_even__less__0__iff,axiom,
    ! [X27,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,X27,X27),c_Groups_Ozero__class_Ozero(X7))
      <=> c_Orderings_Oord__class_Oless(X7,X27,c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_even__less__0__iff) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
    ! [X85,X86,X87,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X87,X86),X85) = c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X87,X85),X86) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),X25) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J) ).

fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Oab__semigroup__mult(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),X25) = c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Otimes__class_Otimes(X7,X12,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ab__semigroup__mult__class_Omult__ac_I1_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
    ! [X85,X86,X87,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X87,X86),X85) = c_Groups_Otimes__class_Otimes(X7,X87,c_Groups_Otimes__class_Otimes(X7,X86,X85)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).

fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Oab__semigroup__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),X25) = c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Oplus__class_Oplus(X7,X12,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ab__semigroup__add__class_Oadd__ac_I1_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),X25) = c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Oplus__class_Oplus(X7,X12,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
    ! [X84,X85,X87,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,X87,c_Groups_Otimes__class_Otimes(X7,X85,X84)) = c_Groups_Otimes__class_Otimes(X7,c_Groups_Otimes__class_Otimes(X7,X87,X85),X84) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).

fof(fact_times__divide__eq__right,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Rings_Odivision__ring(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Rings_Oinverse__class_Odivide(X7,X12,X25)) = c_Rings_Oinverse__class_Odivide(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_times__divide__eq__right) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
    ! [X64,X25,X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Oplus__class_Oplus(X7,X25,X64)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X25),X64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
    ! [X84,X85,X87,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,X87,c_Groups_Otimes__class_Otimes(X7,X85,X84)) = c_Groups_Otimes__class_Otimes(X7,X85,c_Groups_Otimes__class_Otimes(X7,X87,X84)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
    ! [X64,X25,X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Oplus__class_Oplus(X7,X25,X64)) = c_Groups_Oplus__class_Oplus(X7,X25,c_Groups_Oplus__class_Oplus(X7,X10,X64)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).

fof(fact_nat__numeral__1__eq__1,axiom,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__numeral__1__eq__1) ).

fof(fact_Numeral1__eq1__nat,axiom,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Numeral1__eq1__nat) ).

fof(fact_one__is__num__one,axiom,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__is__num__one) ).

fof(fact_real__0__le__add__iff,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,X21))
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X13),X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__0__le__add__iff) ).

fof(fact_real__0__less__add__iff,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,X21))
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X13),X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__0__less__add__iff) ).

fof(fact_real__add__le__0__iff,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,X21),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__le__0__iff) ).

fof(fact_real__add__less__0__iff,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,X21),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X21,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__less__0__iff) ).

fof(fact_le__iff__diff__le__0,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X27,X26)
      <=> c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ominus__class_Ominus(X7,X27,X26),c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__iff__diff__le__0) ).

fof(fact_less__iff__diff__less__0,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X27,X26)
      <=> c_Orderings_Oord__class_Oless(X7,c_Groups_Ominus__class_Ominus(X7,X27,X26),c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__iff__diff__less__0) ).

fof(fact_abs__minus__add__cancel,axiom,
    ! [X14,X9] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X14))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X14,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X9))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__minus__add__cancel) ).

fof(fact_diff__eq__diff__less__eq,axiom,
    ! [X30,X31,X26,X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Groups_Ominus__class_Ominus(X7,X27,X26) = c_Groups_Ominus__class_Ominus(X7,X31,X30)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X27,X26)
        <=> c_Orderings_Oord__class_Oless__eq(X7,X31,X30) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__eq__diff__less__eq) ).

fof(fact_diff__eq__diff__less,axiom,
    ! [X30,X31,X26,X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Groups_Ominus__class_Ominus(X7,X27,X26) = c_Groups_Ominus__class_Ominus(X7,X31,X30)
       => ( c_Orderings_Oord__class_Oless(X7,X27,X26)
        <=> c_Orderings_Oord__class_Oless(X7,X31,X30) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__eq__diff__less) ).

fof(fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096,axiom,
    ! [X13,X59] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X59),v_r)
     => ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X59)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X13)
       => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096) ).

fof(fact_real__divide__square__eq,axiom,
    ! [X10,X8] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X8,X10),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X8,X8)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X10,X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__divide__square__eq) ).

fof(fact_diff__cancel,axiom,
    ! [X34,X43,X16] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X16,X43),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X16,X34)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__cancel) ).

fof(fact_diff__cancel2,axiom,
    ! [X34,X16,X43] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X16),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,X16)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__cancel2) ).

fof(fact_diff__commute,axiom,
    ! [X16,X44,X28] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X28,X44),X16) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X28,X16),X44),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__commute) ).

fof(fact_real__mult__assoc,axiom,
    ! [X70,X71,X72] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X72,X71),X70) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X72,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X71,X70)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__assoc) ).

fof(fact_nat__add__assoc,axiom,
    ! [X16,X34,X43] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34),X16) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,X16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__assoc) ).

fof(fact_zadd__assoc,axiom,
    ! [X70,X71,X72] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X72,X71),X70) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X72,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X71,X70)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__assoc) ).

fof(fact_diff__diff__left,axiom,
    ! [X16,X44,X28] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X28,X44),X16) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X28,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__diff__left) ).

fof(fact_nat__add__left__commute,axiom,
    ! [X29,X14,X9] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X9,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,X29)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X9,X29)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__left__commute) ).

fof(fact_zadd__left__commute,axiom,
    ! [X29,X14,X9] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X9,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X14,X29)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X14,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X9,X29)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__left__commute) ).

fof(fact_zless__add1__eq,axiom,
    ! [X52,X15] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X15,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X52,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X15,X52)
        | X15 = X52 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zless__add1__eq) ).

fof(fact_mth2,axiom,
    ? [X57] :
    ! [X3] :
      ( ? [X58] :
          ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X58),v_r)
          & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X58)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3) )
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X57) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mth2) ).

fof(fact_zero__less__power__nat__eq,axiom,
    ! [X41,X13] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X13,X41))
    <=> ( X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__power__nat__eq) ).

fof(fact_nat__zero__less__power__iff,axiom,
    ! [X41,X13] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X13,X41))
    <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X13)
        | X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__zero__less__power__iff) ).

fof(fact_add1__zle__eq,axiom,
    ! [X52,X15] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X15,c_Groups_Oone__class_Oone(tc_Int_Oint)),X52)
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X15,X52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add1__zle__eq) ).

fof(fact_zle__add1__eq__le,axiom,
    ! [X52,X15] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X15,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X52,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X15,X52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__add1__eq__le) ).

fof(fact_zle__diff1__eq,axiom,
    ! [X52,X15] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X15,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X52,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X15,X52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__diff1__eq) ).

fof(fact_real__le__eq__diff,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X21)
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X13,X21),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__eq__diff) ).

fof(fact_less__bin__lemma,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X20,X19)
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X20,X19),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__bin__lemma) ).

fof(fact_zero__less__diff,axiom,
    ! [X42,X41] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X41,X42))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__diff) ).

fof(fact_abs__div__pos,axiom,
    ! [X9,X14,X7] :
      ( class_Fields_Olinordered__field__inverse__zero(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X14)
       => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oabs__class_Oabs(X7,X9),X14) = c_Groups_Oabs__class_Oabs(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__div__pos) ).

fof(fact_less__add__eq__less,axiom,
    ! [X34,X43,X24,X16] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X16,X24)
     => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X24) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X16,X34)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__eq__less) ).

fof(fact_abs__le__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oabs__class_Oabs(X7,X27),X26)
      <=> ( c_Orderings_Oord__class_Oless__eq(X7,X27,X26)
          & c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X27),X26) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__le__iff) ).

fof(fact_abs__leI,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X12)
         => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oabs__class_Oabs(X7,X10),X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__leI) ).

fof(fact_abs__less__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oabs__class_Oabs(X7,X27),X26)
      <=> ( c_Orderings_Oord__class_Oless(X7,X27,X26)
          & c_Orderings_Oord__class_Oless(X7,c_Groups_Ouminus__class_Ouminus(X7,X27),X26) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__less__iff) ).

fof(fact_abs__power__minus,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Power_Opower__class_Opower(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X34)) = c_Groups_Oabs__class_Oabs(X7,c_Power_Opower__class_Opower(X7,X10,X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__power__minus) ).

fof(fact_add__leD1,axiom,
    ! [X34,X16,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X16),X34)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__leD1) ).

fof(fact_add__leD2,axiom,
    ! [X34,X16,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X16),X34)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__leD2) ).

fof(fact_add__lessD1,axiom,
    ! [X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X44),X16)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__lessD1) ).

fof(fact_real__of__nat__diff,axiom,
    ! [X43,X34] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X43)
     => c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X43),c_RealDef_Oreal(tc_Nat_Onat,X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__diff) ).

fof(fact_frac__eq__eq,axiom,
    ! [X15,X13,X52,X21,X7] :
      ( class_Fields_Ofield(X7)
     => ( X21 != c_Groups_Ozero__class_Ozero(X7)
       => ( X52 != c_Groups_Ozero__class_Ozero(X7)
         => ( c_Rings_Oinverse__class_Odivide(X7,X13,X21) = c_Rings_Oinverse__class_Odivide(X7,X15,X52)
          <=> c_Groups_Otimes__class_Otimes(X7,X13,X52) = c_Groups_Otimes__class_Otimes(X7,X15,X21) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_frac__eq__eq) ).

fof(fact_add__nonneg__eq__0__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Groups_Oordered__comm__monoid__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X13)
       => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X21)
         => ( c_Groups_Oplus__class_Oplus(X7,X13,X21) = c_Groups_Ozero__class_Ozero(X7)
          <=> ( X13 = c_Groups_Ozero__class_Ozero(X7)
              & X21 = c_Groups_Ozero__class_Ozero(X7) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonneg__eq__0__iff) ).

fof(fact_less__nat__number__of,axiom,
    ! [X32,X33] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X33),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X32))
    <=> ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X33,X32)
         => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X32) )
        & c_Orderings_Oord__class_Oless(tc_Int_Oint,X33,X32) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__nat__number__of) ).

fof(fact_minus__apply,axiom,
    ! [X13,X54,X55,X53,X7] :
      ( class_Groups_Ominus(X7)
     => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X53,X7),X55,X54),X13) = c_Groups_Ominus__class_Ominus(X7,hAPP(X55,X13),hAPP(X54,X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__apply) ).

fof(fact_abs__le__interval__iff,axiom,
    ! [X6,X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X13),X6)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X6),X13)
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__le__interval__iff) ).

fof(fact_diff__number__of__eq,axiom,
    ! [X11,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Ominus__class_Ominus(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Int_Onumber__class_Onumber__of(X7,X11)) = c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__number__of__eq) ).

fof(fact_power__inject__exp,axiom,
    ! [X41,X42,X27,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),X27)
       => ( c_Power_Opower__class_Opower(X7,X27,X42) = c_Power_Opower__class_Opower(X7,X27,X41)
        <=> X42 = X41 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__inject__exp) ).

fof(fact_one__le__power,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oone__class_Oone(X7),X10)
       => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oone__class_Oone(X7),c_Power_Opower__class_Opower(X7,X10,X34)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__le__power) ).

fof(fact_zero__le__power,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Power_Opower__class_Opower(X7,X10,X34)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__power) ).

fof(fact_zero__less__power,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Power_Opower__class_Opower(X7,X10,X34)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__power) ).

fof(fact_minus__numeral__code_I6_J,axiom,
    ! [X11,X22] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X22),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X11)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__numeral__code_I6_J) ).

fof(fact_odd__nonzero,axiom,
    ! [X29] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X29),X29) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_odd__nonzero) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X9)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X14)
       => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X9,X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J) ).

fof(fact_le__imp__0__less,axiom,
    ! [X29] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X29)
     => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X29)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__imp__0__less) ).

fof(fact_abs__minus__commute,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12)) = c_Groups_Oabs__class_Oabs(X7,c_Groups_Ominus__class_Ominus(X7,X12,X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__minus__commute) ).

fof(fact_norm__minus__commute,axiom,
    ! [X12,X10,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12)) = c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ominus__class_Ominus(X7,X12,X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__minus__commute) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
    ! [X34,X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X9)
     => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,X9,X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J) ).

fof(fact_zless__imp__add1__zle,axiom,
    ! [X29,X11] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X11,X29)
     => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X11,c_Groups_Oone__class_Oone(tc_Int_Oint)),X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zless__imp__add1__zle) ).

fof(fact_le__add__diff__inverse2,axiom,
    ! [X43,X34] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X43)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34),X34) = X43 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add__diff__inverse2) ).

fof(fact_le__add__diff__inverse,axiom,
    ! [X43,X34] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X43)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34)) = X43 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add__diff__inverse) ).

fof(fact_diff__diff__cancel,axiom,
    ! [X34,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X28,X34)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X28)) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__diff__cancel) ).

fof(fact_le__funD,axiom,
    ! [X13,X1,X2,X7,X53] :
      ( class_Orderings_Oord(X53)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X7,X53),X2,X1)
       => c_Orderings_Oord__class_Oless__eq(X53,hAPP(X2,X13),hAPP(X1,X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__funD) ).

fof(fact_le__funE,axiom,
    ! [X13,X1,X2,X7,X53] :
      ( class_Orderings_Oord(X53)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X7,X53),X2,X1)
       => c_Orderings_Oord__class_Oless__eq(X53,hAPP(X2,X13),hAPP(X1,X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__funE) ).

fof(fact_less__imp__diff__less,axiom,
    ! [X34,X16,X44] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X44,X16)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X44,X34),X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__imp__diff__less) ).

fof(fact_trans__le__add1,axiom,
    ! [X43,X44,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X28,X44)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X28,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X43)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_trans__le__add1) ).

fof(fact_termination__basic__simps_I3_J,axiom,
    ! [X29,X14,X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X14)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,X29)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I3_J) ).

fof(fact_trans__le__add2,axiom,
    ! [X43,X44,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X28,X44)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X28,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X44)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_trans__le__add2) ).

fof(fact_termination__basic__simps_I4_J,axiom,
    ! [X14,X29,X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X29)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,X29)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I4_J) ).

fof(fact_trans__less__add1,axiom,
    ! [X43,X44,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,X44)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X43)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_trans__less__add1) ).

fof(fact_termination__basic__simps_I1_J,axiom,
    ! [X29,X14,X9] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X9,X14)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X9,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,X29)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I1_J) ).

fof(fact_trans__less__add2,axiom,
    ! [X43,X44,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,X44)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X44)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_trans__less__add2) ).

fof(fact_termination__basic__simps_I2_J,axiom,
    ! [X14,X29,X9] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X9,X29)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X9,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,X29)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I2_J) ).

fof(fact_norm__divide,axiom,
    ! [X12,X10,X7] :
      ( ( class_Fields_Ofield__inverse__zero(X7)
        & class_RealVector_Oreal__normed__field(X7) )
     => c_RealVector_Onorm__class_Onorm(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X12)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X10),c_RealVector_Onorm__class_Onorm(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__divide) ).

fof(fact_nonzero__abs__divide,axiom,
    ! [X10,X12,X7] :
      ( class_Fields_Olinordered__field(X7)
     => ( X12 != c_Groups_Ozero__class_Ozero(X7)
       => c_Groups_Oabs__class_Oabs(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X12)) = c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__abs__divide) ).

fof(fact_nonzero__norm__divide,axiom,
    ! [X10,X12,X7] :
      ( class_RealVector_Oreal__normed__field(X7)
     => ( X12 != c_Groups_Ozero__class_Ozero(X7)
       => c_RealVector_Onorm__class_Onorm(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X12)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X10),c_RealVector_Onorm__class_Onorm(X7,X12)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__norm__divide) ).

fof(fact_le__number__of,axiom,
    ! [X21,X13,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Int_Onumber__class_Onumber__of(X7,X13),c_Int_Onumber__class_Onumber__of(X7,X21))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X13,X21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__number__of) ).

fof(fact_less__number__of,axiom,
    ! [X21,X13,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless(X7,c_Int_Onumber__class_Onumber__of(X7,X13),c_Int_Onumber__class_Onumber__of(X7,X21))
      <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X13,X21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__number__of) ).

fof(fact_order__trans,axiom,
    ! [X29,X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X14,X29)
         => c_Orderings_Oord__class_Oless__eq(X7,X9,X29) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__trans) ).

fof(fact_xt1_I6_J,axiom,
    ! [X29,X9,X14,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X14,X9)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X29,X14)
         => c_Orderings_Oord__class_Oless__eq(X7,X29,X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I6_J) ).

fof(fact_order__less__le__trans,axiom,
    ! [X29,X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X14,X29)
         => c_Orderings_Oord__class_Oless(X7,X9,X29) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__le__trans) ).

fof(fact_order__le__less__trans,axiom,
    ! [X29,X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
       => ( c_Orderings_Oord__class_Oless(X7,X14,X29)
         => c_Orderings_Oord__class_Oless(X7,X9,X29) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__less__trans) ).

fof(fact_order__less__trans,axiom,
    ! [X29,X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ( c_Orderings_Oord__class_Oless(X7,X14,X29)
         => c_Orderings_Oord__class_Oless(X7,X9,X29) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__trans) ).

fof(fact_xt1_I7_J,axiom,
    ! [X29,X9,X14,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X14,X9)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X29,X14)
         => c_Orderings_Oord__class_Oless(X7,X29,X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I7_J) ).

fof(fact_xt1_I8_J,axiom,
    ! [X29,X9,X14,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X14,X9)
       => ( c_Orderings_Oord__class_Oless(X7,X29,X14)
         => c_Orderings_Oord__class_Oless(X7,X29,X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I8_J) ).

fof(fact_xt1_I10_J,axiom,
    ! [X29,X9,X14,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X14,X9)
       => ( c_Orderings_Oord__class_Oless(X7,X29,X14)
         => c_Orderings_Oord__class_Oless(X7,X29,X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I10_J) ).

fof(fact_Limits_Ominus__diff__minus,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oab__group__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),c_Groups_Ouminus__class_Ouminus(X7,X12)) = c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Limits_Ominus__diff__minus) ).

fof(fact_abs__mult,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12)) = c_Groups_Otimes__class_Otimes(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__mult) ).

fof(fact_abs__divide,axiom,
    ! [X12,X10,X7] :
      ( class_Fields_Olinordered__field__inverse__zero(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X12)) = c_Rings_Oinverse__class_Odivide(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__divide) ).

fof(fact_minus__add__distrib,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oab__group__add(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),c_Groups_Ouminus__class_Ouminus(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__add__distrib) ).

fof(fact_minus__add,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12)) = c_Groups_Oplus__class_Oplus(X7,c_Groups_Ouminus__class_Ouminus(X7,X12),c_Groups_Ouminus__class_Ouminus(X7,X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__add) ).

fof(fact_norm__mult,axiom,
    ! [X14,X9,X7] :
      ( class_RealVector_Oreal__normed__div__algebra(X7)
     => c_RealVector_Onorm__class_Onorm(X7,c_Groups_Otimes__class_Otimes(X7,X9,X14)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X9),c_RealVector_Onorm__class_Onorm(X7,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__mult) ).

fof(fact_arith__simps_I32_J,axiom,
    ! [X11,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Int_Onumber__class_Onumber__of(X7,X11)) = c_Int_Onumber__class_Onumber__of(X7,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X22,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_arith__simps_I32_J) ).

fof(fact_add__number__of__eq,axiom,
    ! [X11,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Int_Onumber__class_Onumber__of(X7,X11)) = c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__number__of__eq) ).

fof(fact_number__of__mult,axiom,
    ! [X11,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Int_Onumber__class_Onumber__of(X7,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X22,X11)) = c_Groups_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Int_Onumber__class_Onumber__of(X7,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__mult) ).

fof(fact_number__of__add,axiom,
    ! [X11,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Int_Onumber__class_Onumber__of(X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,X11)) = c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Int_Onumber__class_Onumber__of(X7,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__add) ).

fof(fact_number__of__diff,axiom,
    ! [X11,X22,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Int_Onumber__class_Onumber__of(X7,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X22,X11)) = c_Groups_Ominus__class_Ominus(X7,c_Int_Onumber__class_Onumber__of(X7,X22),c_Int_Onumber__class_Onumber__of(X7,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__diff) ).

fof(fact_compl__le__compl__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Lattices_Oboolean__algebra(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X13),c_Groups_Ouminus__class_Ouminus(X7,X21))
      <=> c_Orderings_Oord__class_Oless__eq(X7,X21,X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_compl__le__compl__iff) ).

fof(fact_neg__le__iff__le,axiom,
    ! [X27,X26,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X26),c_Groups_Ouminus__class_Ouminus(X7,X27))
      <=> c_Orderings_Oord__class_Oless__eq(X7,X27,X26) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__le__iff__le) ).

fof(fact_neg__less__iff__less,axiom,
    ! [X27,X26,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ouminus__class_Ouminus(X7,X26),c_Groups_Ouminus__class_Ouminus(X7,X27))
      <=> c_Orderings_Oord__class_Oless(X7,X27,X26) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__less__iff__less) ).

fof(fact_zero__le__power__abs,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Power_Opower__class_Opower(X7,c_Groups_Oabs__class_Oabs(X7,X10),X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__power__abs) ).

fof(fact_le__imp__diff__is__add,axiom,
    ! [X20,X77,X78] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,X77)
     => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X77,X78) = X20
      <=> X77 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X20,X78) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__imp__diff__is__add) ).

fof(fact_mult__left__idem,axiom,
    ! [X12,X10,X7] :
      ( class_Lattices_Oab__semigroup__idem__mult(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Otimes__class_Otimes(X7,X10,X12)) = c_Groups_Otimes__class_Otimes(X7,X10,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__idem) ).

fof(fact_add__minus__cancel,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Oplus__class_Oplus(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X12)) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__minus__cancel) ).

fof(fact_le__trans,axiom,
    ! [X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X28,X44)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X44,X16)
       => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X28,X16) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__trans) ).

fof(fact_zle__trans,axiom,
    ! [X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X28,X44)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X44,X16)
       => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X28,X16) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__trans) ).

fof(fact_real__le__trans,axiom,
    ! [X16,X44,X28] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X28,X44)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X44,X16)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X28,X16) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans) ).

fof(fact_poly__minus,axiom,
    ! [X9,X39,X7] :
      ( class_Rings_Ocomm__ring(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X7),X39)),X9) = c_Groups_Ouminus__class_Ouminus(X7,hAPP(c_Polynomial_Opoly(X7,X39),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__minus) ).

fof(fact_abs__le__D2,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oabs__class_Oabs(X7,X10),X12)
       => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__le__D2) ).

fof(fact_minus__le__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X27),X26)
      <=> c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X26),X27) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__le__iff) ).

fof(fact_minus__less__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ouminus__class_Ouminus(X7,X27),X26)
      <=> c_Orderings_Oord__class_Oless(X7,c_Groups_Ouminus__class_Ouminus(X7,X26),X27) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__less__iff) ).

fof(fact_le__minus__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X27,c_Groups_Ouminus__class_Ouminus(X7,X26))
      <=> c_Orderings_Oord__class_Oless__eq(X7,X26,c_Groups_Ouminus__class_Ouminus(X7,X27)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__minus__iff) ).

fof(fact_less__minus__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X27,c_Groups_Ouminus__class_Ouminus(X7,X26))
      <=> c_Orderings_Oord__class_Oless(X7,X26,c_Groups_Ouminus__class_Ouminus(X7,X27)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__minus__iff) ).

fof(fact_plus__numeral__code_I9_J,axiom,
    ! [X11,X22] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X22),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X11)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_plus__numeral__code_I9_J) ).

fof(fact_real__of__nat__add,axiom,
    ! [X34,X43] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X43),c_RealDef_Oreal(tc_Nat_Onat,X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__add) ).

fof(fact_zminus__zadd__distrib,axiom,
    ! [X11,X29] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X29,X11)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X29),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zminus__zadd__distrib) ).

fof(fact_nonzero__minus__divide__right,axiom,
    ! [X10,X12,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X12 != c_Groups_Ozero__class_Ozero(X7)
       => c_Groups_Ouminus__class_Ouminus(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X12)) = c_Rings_Oinverse__class_Odivide(X7,X10,c_Groups_Ouminus__class_Ouminus(X7,X12)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__minus__divide__right) ).

fof(fact_abs__add__one__gt__zero,axiom,
    ! [X9] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__one__gt__zero) ).

fof(fact_real__of__nat__le__iff,axiom,
    ! [X42,X41] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X41),c_RealDef_Oreal(tc_Nat_Onat,X42))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X41,X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__le__iff) ).

fof(fact_less__eq__number__of__int__code,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X20),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X19))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__number__of__int__code) ).

fof(fact_real__of__nat__less__iff,axiom,
    ! [X42,X41] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X41),c_RealDef_Oreal(tc_Nat_Onat,X42))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__less__iff) ).

fof(fact_less__number__of__int__code,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X20),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X19))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__number__of__int__code) ).

fof(fact_mult_Ominus__left,axiom,
    ! [X12,X10,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X12) = c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Ominus__left) ).

fof(fact_mult__left_Ominus,axiom,
    ! [X14,X9,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ouminus__class_Ouminus(X7,X9),X14) = c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Otimes__class_Otimes(X7,X9,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Ominus) ).

fof(fact_divide_Ominus,axiom,
    ! [X14,X9,X7] :
      ( class_RealVector_Oreal__normed__field(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ouminus__class_Ouminus(X7,X9),X14) = c_Groups_Ouminus__class_Ouminus(X7,c_Rings_Oinverse__class_Odivide(X7,X9,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide_Ominus) ).

fof(fact_mult_Ominus__right,axiom,
    ! [X12,X10,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Ouminus__class_Ouminus(X7,X12)) = c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Ominus__right) ).

fof(fact_mult__right_Ominus,axiom,
    ! [X9,X80,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,X80,c_Groups_Ouminus__class_Ouminus(X7,X9)) = c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Otimes__class_Otimes(X7,X80,X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Ominus) ).

fof(fact_power__abs,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Power_Opower__class_Opower(X7,X10,X34)) = c_Power_Opower__class_Opower(X7,c_Groups_Oabs__class_Oabs(X7,X10),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__abs) ).

fof(fact_minus__mult__left,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oring(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12)) = c_Groups_Otimes__class_Otimes(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__mult__left) ).

fof(fact_minus__divide__left,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Odivision__ring(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X12)) = c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__divide__left) ).

fof(fact_minus__mult__right,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oring(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Otimes__class_Otimes(X7,X10,X12)) = c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Ouminus__class_Ouminus(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__mult__right) ).

fof(fact_minus__divide__right,axiom,
    ! [X12,X10,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Rings_Oinverse__class_Odivide(X7,X10,X12)) = c_Rings_Oinverse__class_Odivide(X7,X10,c_Groups_Ouminus__class_Ouminus(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__divide__right) ).

fof(fact_subseq__def,axiom,
    ! [X2] :
      ( c_SEQ_Osubseq(X2)
    <=> ! [X35,X36] :
          ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X35,X36)
         => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X35),hAPP(X2,X36)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subseq__def) ).

fof(fact_norm__power,axiom,
    ! [X34,X9,X7] :
      ( class_RealVector_Oreal__normed__div__algebra(X7)
     => c_RealVector_Onorm__class_Onorm(X7,c_Power_Opower__class_Opower(X7,X9,X34)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X9),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__power) ).

fof(fact_zero__le__zpower__abs,axiom,
    ! [X34,X9] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X9),X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__zpower__abs) ).

fof(fact_neg__le__0__iff__le,axiom,
    ! [X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X27),c_Groups_Ozero__class_Ozero(X7))
      <=> c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X27) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__le__0__iff__le) ).

fof(fact_neg__less__0__iff__less,axiom,
    ! [X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ouminus__class_Ouminus(X7,X27),c_Groups_Ozero__class_Ozero(X7))
      <=> c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X27) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__less__0__iff__less) ).

fof(fact_neg__0__le__iff__le,axiom,
    ! [X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Ouminus__class_Ouminus(X7,X27))
      <=> c_Orderings_Oord__class_Oless__eq(X7,X27,c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__0__le__iff__le) ).

fof(fact_neg__0__less__iff__less,axiom,
    ! [X27,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Ouminus__class_Ouminus(X7,X27))
      <=> c_Orderings_Oord__class_Oless(X7,X27,c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__0__less__iff__less) ).

fof(fact_le__special_I1_J,axiom,
    ! [X21,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Int_Onumber__class_Onumber__of(X7,X21))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__special_I1_J) ).

fof(fact_less__special_I1_J,axiom,
    ! [X21,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Int_Onumber__class_Onumber__of(X7,X21))
      <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__special_I1_J) ).

fof(fact_le__special_I3_J,axiom,
    ! [X13,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Int_Onumber__class_Onumber__of(X7,X13),c_Groups_Ozero__class_Ozero(X7))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X13,c_Int_OPls) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__special_I3_J) ).

fof(fact_less__special_I3_J,axiom,
    ! [X13,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( c_Orderings_Oord__class_Oless(X7,c_Int_Onumber__class_Onumber__of(X7,X13),c_Groups_Ozero__class_Ozero(X7))
      <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,X13,c_Int_OPls) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__special_I3_J) ).

fof(fact_compl__mono,axiom,
    ! [X14,X9,X7] :
      ( class_Lattices_Oboolean__algebra(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
       => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X14),c_Groups_Ouminus__class_Ouminus(X7,X9)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_compl__mono) ).

fof(fact_le__imp__neg__le,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X12),c_Groups_Ouminus__class_Ouminus(X7,X10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__imp__neg__le) ).

fof(fact_zero__less__two,axiom,
    ! [X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oplus__class_Oplus(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Oone__class_Oone(X7))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__two) ).

fof(fact_square__eq__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Rings_Oidom(X7)
     => ( c_Groups_Otimes__class_Otimes(X7,X27,X27) = c_Groups_Otimes__class_Otimes(X7,X26,X26)
      <=> ( X27 = X26
          | X27 = c_Groups_Ouminus__class_Ouminus(X7,X26) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_square__eq__iff) ).

fof(fact_minus__add__cancel,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),c_Groups_Oplus__class_Oplus(X7,X10,X12)) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__add__cancel) ).

fof(fact_minus__le__self__iff,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X27),X27)
      <=> c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X27) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__le__self__iff) ).

fof(fact_neg__less__nonneg,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ouminus__class_Ouminus(X7,X27),X27)
      <=> c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X27) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__less__nonneg) ).

fof(fact_le__minus__self__iff,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X27,c_Groups_Ouminus__class_Ouminus(X7,X27))
      <=> c_Orderings_Oord__class_Oless__eq(X7,X27,c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__minus__self__iff) ).

fof(fact_less__minus__self__iff,axiom,
    ! [X27,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X27,c_Groups_Ouminus__class_Ouminus(X7,X27))
      <=> c_Orderings_Oord__class_Oless(X7,X27,c_Groups_Ozero__class_Ozero(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__minus__self__iff) ).

fof(fact_power__real__of__nat,axiom,
    ! [X34,X43] : c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X43),X34) = c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X43,X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__real__of__nat) ).

fof(fact_real__of__nat__power,axiom,
    ! [X34,X43] : c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X43,X34)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X43),X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__power) ).

fof(fact_nat__less__cases,axiom,
    ! [X45,X41,X42] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41)
       => hBOOL(hAPP(hAPP(X45,X41),X42)) )
     => ( ( X42 = X41
         => hBOOL(hAPP(hAPP(X45,X41),X42)) )
       => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,X42)
           => hBOOL(hAPP(hAPP(X45,X41),X42)) )
         => hBOOL(hAPP(hAPP(X45,X41),X42)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__less__cases) ).

fof(fact_abs__le__D1,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oabs__class_Oabs(X7,X10),X12)
       => c_Orderings_Oord__class_Oless__eq(X7,X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__le__D1) ).

fof(fact_diff__eq__diff__eq,axiom,
    ! [X30,X31,X26,X27,X7] :
      ( class_Groups_Oab__group__add(X7)
     => ( c_Groups_Ominus__class_Ominus(X7,X27,X26) = c_Groups_Ominus__class_Ominus(X7,X31,X30)
       => ( X27 = X26
        <=> X31 = X30 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__eq__diff__eq) ).

fof(fact_minus__diff__eq,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oab__group__add(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12)) = c_Groups_Ominus__class_Ominus(X7,X12,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__diff__eq) ).

fof(fact_order__eq__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Oorder(X7)
     => ( X13 = X21
      <=> ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
          & c_Orderings_Oord__class_Oless__eq(X7,X21,X13) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__eq__iff) ).

fof(fact_order__antisym__conv,axiom,
    ! [X13,X21,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X21,X13)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
        <=> X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__antisym__conv) ).

fof(fact_order__antisym,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X14,X9)
         => X9 = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__antisym) ).

fof(fact_xt1_I5_J,axiom,
    ! [X9,X14,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X14,X9)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
         => X9 = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I5_J) ).

fof(fact_real__of__nat__gt__zero__cancel__iff,axiom,
    ! [X41] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X41))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__gt__zero__cancel__iff) ).

fof(fact_less__add__one,axiom,
    ! [X10,X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Oone__class_Oone(X7))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__one) ).

fof(fact_power__eq__0__iff__number__of,axiom,
    ! [X15,X27,X7] :
      ( ( class_Power_Opower(X7)
        & class_Rings_Omult__zero(X7)
        & class_Rings_Ono__zero__divisors(X7)
        & class_Rings_Ozero__neq__one(X7) )
     => ( c_Power_Opower__class_Opower(X7,X27,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X15)) = c_Groups_Ozero__class_Ozero(X7)
      <=> ( X27 = c_Groups_Ozero__class_Ozero(X7)
          & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X15) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__eq__0__iff__number__of) ).

fof(fact_add__right__imp__eq,axiom,
    ! [X25,X10,X12,X7] :
      ( class_Groups_Ocancel__semigroup__add(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,X12,X10) = c_Groups_Oplus__class_Oplus(X7,X25,X10)
       => X12 = X25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__right__imp__eq) ).

fof(fact_add__right__cancel,axiom,
    ! [X31,X27,X26,X7] :
      ( class_Groups_Ocancel__semigroup__add(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,X26,X27) = c_Groups_Oplus__class_Oplus(X7,X31,X27)
      <=> X26 = X31 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__right__cancel) ).

fof(fact_add__imp__eq,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Ocancel__ab__semigroup__add(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,X10,X12) = c_Groups_Oplus__class_Oplus(X7,X10,X25)
       => X12 = X25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__imp__eq) ).

fof(fact_add__left__imp__eq,axiom,
    ! [X25,X12,X10,X7] :
      ( class_Groups_Ocancel__semigroup__add(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,X10,X12) = c_Groups_Oplus__class_Oplus(X7,X10,X25)
       => X12 = X25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__left__imp__eq) ).

fof(fact_add__left__cancel,axiom,
    ! [X31,X26,X27,X7] :
      ( class_Groups_Ocancel__semigroup__add(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,X27,X26) = c_Groups_Oplus__class_Oplus(X7,X27,X31)
      <=> X26 = X31 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__left__cancel) ).

fof(fact_order__root,axiom,
    ! [X27,X48,X7] :
      ( class_Rings_Oidom(X7)
     => ( hAPP(c_Polynomial_Opoly(X7,X48),X27) = c_Groups_Ozero__class_Ozero(X7)
      <=> ( X48 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
          | c_Polynomial_Oorder(X7,X27,X48) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__root) ).

fof(fact_diffs0__imp__equal,axiom,
    ! [X34,X43] :
      ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
     => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X43) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => X43 = X34 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diffs0__imp__equal) ).

fof(fact_less__0__number__of,axiom,
    ! [X33] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X33))
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__0__number__of) ).

fof(fact_zero__le__square,axiom,
    ! [X10,X7] :
      ( class_Rings_Olinordered__ring(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Otimes__class_Otimes(X7,X10,X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__square) ).

fof(fact_nonzero__minus__divide__divide,axiom,
    ! [X10,X12,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X12 != c_Groups_Ozero__class_Ozero(X7)
       => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),c_Groups_Ouminus__class_Ouminus(X7,X12)) = c_Rings_Oinverse__class_Odivide(X7,X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__minus__divide__divide) ).

fof(fact_real__sqrt__mult,axiom,
    ! [X14,X9] : c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X9,X14)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__mult) ).

fof(fact_real__sqrt__divide,axiom,
    ! [X14,X9] : c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X9,X14)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__divide) ).

fof(fact_real__mult__right__cancel,axiom,
    ! [X26,X27,X31] :
      ( X31 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
     => ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X27,X31) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X26,X31)
      <=> X27 = X26 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__right__cancel) ).

fof(fact_real__mult__left__cancel,axiom,
    ! [X26,X27,X31] :
      ( X31 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
     => ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X31,X27) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X31,X26)
      <=> X27 = X26 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__left__cancel) ).

fof(fact_le__antisym,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X43)
       => X43 = X34 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__antisym) ).

fof(fact_zle__antisym,axiom,
    ! [X11,X29] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X29,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X11,X29)
       => X29 = X11 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__antisym) ).

fof(fact_real__le__antisym,axiom,
    ! [X11,X29] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X29,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,X29)
       => X29 = X11 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__antisym) ).

fof(fact_diff__add__cancel,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Ominus__class_Ominus(X7,X10,X12),X12) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__cancel) ).

fof(fact_add__diff__cancel,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,c_Groups_Oplus__class_Oplus(X7,X10,X12),X12) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__cancel) ).

fof(fact_nat__add__right__cancel,axiom,
    ! [X41,X20,X42] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X20) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X41,X20)
    <=> X42 = X41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__right__cancel) ).

fof(fact_nat__add__left__cancel,axiom,
    ! [X41,X42,X20] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X20,X42) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X20,X41)
    <=> X42 = X41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__left__cancel) ).

fof(fact_abs__mult__self,axiom,
    ! [X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Oabs__class_Oabs(X7,X10)) = c_Groups_Otimes__class_Otimes(X7,X10,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__mult__self) ).

fof(fact_minus__mult__minus,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oring(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),c_Groups_Ouminus__class_Ouminus(X7,X12)) = c_Groups_Otimes__class_Otimes(X7,X10,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__mult__minus) ).

fof(fact_minus__divide__divide,axiom,
    ! [X12,X10,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),c_Groups_Ouminus__class_Ouminus(X7,X12)) = c_Rings_Oinverse__class_Odivide(X7,X10,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__divide__divide) ).

fof(fact_minus__mult__commute,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Oring(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X12) = c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Ouminus__class_Ouminus(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__mult__commute) ).

fof(fact_real__sqrt__power,axiom,
    ! [X16,X9] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X9,X16)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X9),X16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__power) ).

fof(fact_le__iff__add,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41)
    <=> ? [X73] : X41 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X73) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__iff__add) ).

fof(fact_le__Suc__ex__iff,axiom,
    ! [X19,X20] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20,X19)
    <=> ? [X36] : X19 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X20,X36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__Suc__ex__iff) ).

fof(fact_diff__add__0,axiom,
    ! [X43,X34] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,X43)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__0) ).

fof(fact_divide__eq__eq,axiom,
    ! [X27,X31,X26,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => ( c_Rings_Oinverse__class_Odivide(X7,X26,X31) = X27
      <=> ( ( X31 != c_Groups_Ozero__class_Ozero(X7)
           => X26 = c_Groups_Otimes__class_Otimes(X7,X27,X31) )
          & ( X31 = c_Groups_Ozero__class_Ozero(X7)
           => X27 = c_Groups_Ozero__class_Ozero(X7) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__eq__eq) ).

fof(fact_eq__divide__eq,axiom,
    ! [X31,X26,X27,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => ( X27 = c_Rings_Oinverse__class_Odivide(X7,X26,X31)
      <=> ( ( X31 != c_Groups_Ozero__class_Ozero(X7)
           => c_Groups_Otimes__class_Otimes(X7,X27,X31) = X26 )
          & ( X31 = c_Groups_Ozero__class_Ozero(X7)
           => X27 = c_Groups_Ozero__class_Ozero(X7) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__divide__eq) ).

fof(fact_diff__add__inverse,axiom,
    ! [X43,X34] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,X43),X34) = X43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__inverse) ).

fof(fact_diff__add__inverse2,axiom,
    ! [X34,X43] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34),X34) = X43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__inverse2) ).

fof(fact_diff__le__self,axiom,
    ! [X34,X43] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34),X43),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__le__self) ).

fof(fact_le__add1,axiom,
    ! [X43,X34] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,X43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add1) ).

fof(fact_le__add2,axiom,
    ! [X43,X34] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add2) ).

fof(fact_real__sqrt__le__iff,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X13),c_NthRoot_Osqrt(X21))
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__le__iff) ).

fof(fact_real__sqrt__less__iff,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X13),c_NthRoot_Osqrt(X21))
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__less__iff) ).

fof(fact_divide__eq__imp,axiom,
    ! [X10,X12,X25,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X25 != c_Groups_Ozero__class_Ozero(X7)
       => ( X12 = c_Groups_Otimes__class_Otimes(X7,X10,X25)
         => c_Rings_Oinverse__class_Odivide(X7,X12,X25) = X10 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__eq__imp) ).

fof(fact_nonzero__eq__divide__eq,axiom,
    ! [X26,X27,X31,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X31 != c_Groups_Ozero__class_Ozero(X7)
       => ( X27 = c_Rings_Oinverse__class_Odivide(X7,X26,X31)
        <=> c_Groups_Otimes__class_Otimes(X7,X27,X31) = X26 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__eq__divide__eq) ).

fof(fact_nonzero__divide__eq__eq,axiom,
    ! [X27,X26,X31,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X31 != c_Groups_Ozero__class_Ozero(X7)
       => ( c_Rings_Oinverse__class_Odivide(X7,X26,X31) = X27
        <=> X26 = c_Groups_Otimes__class_Otimes(X7,X27,X31) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__divide__eq__eq) ).

fof(fact_eq__divide__imp,axiom,
    ! [X12,X10,X25,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X25 != c_Groups_Ozero__class_Ozero(X7)
       => ( c_Groups_Otimes__class_Otimes(X7,X10,X25) = X12
         => X10 = c_Rings_Oinverse__class_Odivide(X7,X12,X25) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__divide__imp) ).

fof(fact_real__sqrt__ge__1__iff,axiom,
    ! [X21] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X21))
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__ge__1__iff) ).

fof(fact_real__sqrt__ge__0__iff,axiom,
    ! [X21] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X21))
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__ge__0__iff) ).

fof(fact_real__sqrt__gt__1__iff,axiom,
    ! [X21] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X21))
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__gt__1__iff) ).

fof(fact_real__sqrt__gt__0__iff,axiom,
    ! [X21] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X21))
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__gt__0__iff) ).

fof(fact_real__sqrt__le__1__iff,axiom,
    ! [X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X13),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__le__1__iff) ).

fof(fact_real__sqrt__le__0__iff,axiom,
    ! [X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__le__0__iff) ).

fof(fact_real__sqrt__lt__1__iff,axiom,
    ! [X13] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X13),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__lt__1__iff) ).

fof(fact_real__sqrt__lt__0__iff,axiom,
    ! [X13] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__lt__0__iff) ).

fof(fact_zero__less__abs__iff,axiom,
    ! [X27,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oabs__class_Oabs(X7,X27))
      <=> X27 != c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__abs__iff) ).

fof(fact_real__sqrt__ge__one,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X9)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__ge__one) ).

fof(fact_real__sqrt__ge__zero,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__ge__zero) ).

fof(fact_real__sqrt__gt__zero,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__gt__zero) ).

fof(fact_tsub__eq,axiom,
    ! [X9,X14] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14,X9)
     => c_Nat__Transfer_Otsub(X9,X14) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X9,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_tsub__eq) ).

fof(fact_xt1_I11_J,axiom,
    ! [X10,X12,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X12,X10)
       => ( X10 != X12
         => c_Orderings_Oord__class_Oless(X7,X12,X10) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I11_J) ).

fof(fact_order__le__neq__trans,axiom,
    ! [X12,X10,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
       => ( X10 != X12
         => c_Orderings_Oord__class_Oless(X7,X10,X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__neq__trans) ).

fof(fact_order__le__imp__less__or__eq,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
       => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
          | X9 = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__imp__less__or__eq) ).

fof(fact_order__neq__le__trans,axiom,
    ! [X12,X10,X7] :
      ( class_Orderings_Oorder(X7)
     => ( X10 != X12
       => ( c_Orderings_Oord__class_Oless__eq(X7,X10,X12)
         => c_Orderings_Oord__class_Oless(X7,X10,X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__neq__le__trans) ).

fof(fact_order__le__less,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
      <=> ( c_Orderings_Oord__class_Oless(X7,X13,X21)
          | X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__less) ).

fof(fact_order__less__le,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X13,X21)
      <=> ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
          & X13 != X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__le) ).

fof(fact_xt1_I12_J,axiom,
    ! [X12,X10,X7] :
      ( class_Orderings_Oorder(X7)
     => ( X10 != X12
       => ( c_Orderings_Oord__class_Oless__eq(X7,X12,X10)
         => c_Orderings_Oord__class_Oless(X7,X12,X10) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I12_J) ).

fof(fact_real__sqrt__le__mono,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X14)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__le__mono) ).

fof(fact_real__sqrt__less__mono,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X9,X14)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__less__mono) ).

fof(fact_abs__le__zero__iff,axiom,
    ! [X27,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oabs__class_Oabs(X7,X27),c_Groups_Ozero__class_Ozero(X7))
      <=> X27 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__le__zero__iff) ).

fof(fact_order__less__imp__le,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => c_Orderings_Oord__class_Oless__eq(X7,X9,X14) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__imp__le) ).

fof(fact_abs__minus__le__zero,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Oabs__class_Oabs(X7,X10)),c_Groups_Ozero__class_Ozero(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__minus__le__zero) ).

fof(fact_int__one__le__iff__zero__less,axiom,
    ! [X52] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X52)
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_int__one__le__iff__zero__less) ).

fof(fact_zero__less__norm__iff,axiom,
    ! [X13,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X7,X13))
      <=> X13 != c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__norm__iff) ).

fof(fact_complex__mod__minus__le__complex__mod,axiom,
    ! [X9] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X9)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X9)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__mod__minus__le__complex__mod) ).

fof(fact_diff__minus__eq__add,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,X10,c_Groups_Ouminus__class_Ouminus(X7,X12)) = c_Groups_Oplus__class_Oplus(X7,X10,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__minus__eq__add) ).

fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
    ! [X14,X9,X7] :
      ( class_Rings_Ocomm__ring__1(X7)
     => c_Groups_Ominus__class_Ominus(X7,X9,X14) = c_Groups_Oplus__class_Oplus(X7,X9,c_Groups_Ouminus__class_Ouminus(X7,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J) ).

fof(fact_ab__diff__minus,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Oab__group__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,X10,X12) = c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Ouminus__class_Ouminus(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ab__diff__minus) ).

fof(fact_diff__def,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,X10,X12) = c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Ouminus__class_Ouminus(X7,X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__def) ).

fof(fact_norm__le__zero__iff,axiom,
    ! [X13,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
      <=> X13 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__le__zero__iff) ).

fof(fact_diff__is__0__eq,axiom,
    ! [X41,X42] :
      ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X42,X41) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__is__0__eq) ).

fof(fact_nat__less__le,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41)
        & X42 != X41 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__less__le) ).

fof(fact_le__eq__less__or__eq,axiom,
    ! [X41,X42] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41)
    <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41)
        | X42 = X41 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__eq__less__or__eq) ).

fof(fact_le__neq__implies__less,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
     => ( X43 != X34
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__neq__implies__less) ).

fof(fact_zless__le,axiom,
    ! [X15,X52] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X52,X15)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X52,X15)
        & X52 != X15 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zless__le) ).

fof(fact_less__eq__real__def,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X21)
    <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X21)
        | X13 = X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__real__def) ).

fof(fact_real__less__def,axiom,
    ! [X21,X13] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X21)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X21)
        & X13 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).

fof(fact_diff__is__0__eq_H,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__is__0__eq_H) ).

fof(fact_uminus__apply,axiom,
    ! [X13,X55,X53,X7] :
      ( class_Groups_Ouminus(X7)
     => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X53,X7),X55),X13) = c_Groups_Ouminus__class_Ouminus(X7,hAPP(X55,X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_uminus__apply) ).

fof(fact_termination__basic__simps_I5_J,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X9,X14)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I5_J) ).

fof(fact_less__imp__le__nat,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__imp__le__nat) ).

fof(fact_less__or__eq__imp__le,axiom,
    ! [X34,X43] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
        | X43 = X34 )
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__or__eq__imp__le) ).

fof(fact_abs__of__nonpos,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => c_Groups_Oabs__class_Oabs(X7,X10) = c_Groups_Ouminus__class_Ouminus(X7,X10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__of__nonpos) ).

fof(fact_abs__of__neg,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Ozero__class_Ozero(X7))
       => c_Groups_Oabs__class_Oabs(X7,X10) = c_Groups_Ouminus__class_Ouminus(X7,X10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__of__neg) ).

fof(fact_real__of__nat__one,axiom,
    c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__one) ).

fof(fact_diff__int__def__symmetric,axiom,
    ! [X11,X29] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X29,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X29,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__int__def__symmetric) ).

fof(fact_diff__int__def,axiom,
    ! [X11,X29] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,X29,X11) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X29,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__int__def) ).

fof(fact_complex__diff__def,axiom,
    ! [X14,X9] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X9,X14) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X9,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__diff__def) ).

fof(fact_minus__real__def,axiom,
    ! [X14,X9] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X9,X14) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__real__def) ).

fof(fact_real__diff__def,axiom,
    ! [X47,X8] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X8,X47) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X8,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X47)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__diff__def) ).

fof(fact_real__of__nat__le__zero__cancel__iff,axiom,
    ! [X41] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X41),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    <=> X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__le__zero__cancel__iff) ).

fof(fact_zabs__less__one__iff,axiom,
    ! [X52] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X52),c_Groups_Oone__class_Oone(tc_Int_Oint))
    <=> X52 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zabs__less__one__iff) ).

fof(fact_ext,axiom,
    ! [X1,X2] :
      ( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
     => X2 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ext) ).

fof(fact_power__eq__0__iff,axiom,
    ! [X41,X27,X7] :
      ( ( class_Power_Opower(X7)
        & class_Rings_Omult__zero(X7)
        & class_Rings_Ono__zero__divisors(X7)
        & class_Rings_Ozero__neq__one(X7) )
     => ( c_Power_Opower__class_Opower(X7,X27,X41) = c_Groups_Ozero__class_Ozero(X7)
      <=> ( X27 = c_Groups_Ozero__class_Ozero(X7)
          & X41 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__eq__0__iff) ).

fof(fact_square__eq__1__iff,axiom,
    ! [X13,X7] :
      ( class_Rings_Oring__1__no__zero__divisors(X7)
     => ( c_Groups_Otimes__class_Otimes(X7,X13,X13) = c_Groups_Oone__class_Oone(X7)
      <=> ( X13 = c_Groups_Oone__class_Oone(X7)
          | X13 = c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Oone__class_Oone(X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_square__eq__1__iff) ).

fof(fact_power__0__left__number__of,axiom,
    ! [X11,X7] :
      ( ( class_Power_Opower(X7)
        & class_Rings_Osemiring__0(X7) )
     => ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X11) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => c_Power_Opower__class_Opower(X7,c_Groups_Ozero__class_Ozero(X7),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X11)) = c_Groups_Oone__class_Oone(X7) )
        & ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X11) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => c_Power_Opower__class_Opower(X7,c_Groups_Ozero__class_Ozero(X7),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X11)) = c_Groups_Ozero__class_Ozero(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__0__left__number__of) ).

fof(fact_real__add__minus__iff,axiom,
    ! [X27,X13] :
      ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X27)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    <=> X13 = X27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__minus__iff) ).

fof(fact_real__sqrt__abs2,axiom,
    ! [X9] : c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X9,X9)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__abs2) ).

fof(fact_linorder__neq__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( X13 != X21
      <=> ( c_Orderings_Oord__class_Oless(X7,X13,X21)
          | c_Orderings_Oord__class_Oless(X7,X21,X13) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neq__iff) ).

fof(fact_linorder__less__linear,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
        | X9 = X14
        | c_Orderings_Oord__class_Oless(X7,X14,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__less__linear) ).

fof(fact_abs__of__nonneg,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => c_Groups_Oabs__class_Oabs(X7,X10) = X10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__of__nonneg) ).

fof(fact_abs__of__pos,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),X10)
       => c_Groups_Oabs__class_Oabs(X7,X10) = X10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__of__pos) ).

fof(fact_linorder__linear,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
        | c_Orderings_Oord__class_Oless__eq(X7,X14,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__linear) ).

fof(fact_linorder__le__less__linear,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
        | c_Orderings_Oord__class_Oless(X7,X14,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__le__less__linear) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,X12) = c_Groups_Otimes__class_Otimes(X7,X12,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
    ! [X25,X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Oplus__class_Oplus(X7,X10,X25) = c_Groups_Oplus__class_Oplus(X7,X25,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

fof(fact_minus__unique,axiom,
    ! [X12,X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,X10,X12) = c_Groups_Ozero__class_Ozero(X7)
       => c_Groups_Ouminus__class_Ouminus(X7,X10) = X12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__unique) ).

fof(fact_eq__neg__iff__add__eq__0,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( X27 = c_Groups_Ouminus__class_Ouminus(X7,X26)
      <=> c_Groups_Oplus__class_Oplus(X7,X27,X26) = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__neg__iff__add__eq__0) ).

fof(fact_add__eq__0__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,X13,X21) = c_Groups_Ozero__class_Ozero(X7)
      <=> X21 = c_Groups_Ouminus__class_Ouminus(X7,X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__eq__0__iff) ).

fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
    ! [X9,X7] :
      ( class_Rings_Ocomm__ring__1(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,X9) = c_Groups_Otimes__class_Otimes(X7,c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Oone__class_Oone(X7)),X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J) ).

fof(fact_abs__ge__minus__self,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),c_Groups_Oabs__class_Oabs(X7,X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__ge__minus__self) ).

fof(fact_mult__eq__0__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Rings_Oring__no__zero__divisors(X7)
     => ( c_Groups_Otimes__class_Otimes(X7,X27,X26) = c_Groups_Ozero__class_Ozero(X7)
      <=> ( X27 = c_Groups_Ozero__class_Ozero(X7)
          | X26 = c_Groups_Ozero__class_Ozero(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__eq__0__iff) ).

fof(fact_divisors__zero,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Ono__zero__divisors(X7)
     => ( c_Groups_Otimes__class_Otimes(X7,X10,X12) = c_Groups_Ozero__class_Ozero(X7)
       => ( X10 = c_Groups_Ozero__class_Ozero(X7)
          | X12 = c_Groups_Ozero__class_Ozero(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divisors__zero) ).

fof(fact_no__zero__divisors,axiom,
    ! [X12,X10,X7] :
      ( class_Rings_Ono__zero__divisors(X7)
     => ( X10 != c_Groups_Ozero__class_Ozero(X7)
       => ( X12 != c_Groups_Ozero__class_Ozero(X7)
         => c_Groups_Otimes__class_Otimes(X7,X10,X12) != c_Groups_Ozero__class_Ozero(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_no__zero__divisors) ).

fof(fact_nat__neq__iff,axiom,
    ! [X41,X42] :
      ( X42 != X41
    <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,X42) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__neq__iff) ).

fof(fact_zless__linear,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X9,X14)
      | X9 = X14
      | c_Orderings_Oord__class_Oless(tc_Int_Oint,X14,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zless__linear) ).

fof(fact_right__inverse__eq,axiom,
    ! [X27,X26,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X26 != c_Groups_Ozero__class_Ozero(X7)
       => ( c_Rings_Oinverse__class_Odivide(X7,X27,X26) = c_Groups_Oone__class_Oone(X7)
        <=> X27 = X26 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_right__inverse__eq) ).

fof(fact_nat__le__linear,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__le__linear) ).

fof(fact_zle__linear,axiom,
    ! [X11,X29] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X29,X11)
      | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X11,X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__linear) ).

fof(fact_real__le__linear,axiom,
    ! [X11,X29] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X29,X11)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).

fof(fact_diff__poly__code_I1_J,axiom,
    ! [X40,X7] :
      ( class_Groups_Oab__group__add(X7)
     => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X7),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)),X40) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X7),X40) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__poly__code_I1_J) ).

fof(fact_real__mult__commute,axiom,
    ! [X11,X29] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X29,X11) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X11,X29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).

fof(fact_nat__add__commute,axiom,
    ! [X34,X43] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,X43),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__commute) ).

fof(fact_zadd__commute,axiom,
    ! [X11,X29] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X29,X11) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X11,X29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__commute) ).

fof(fact_double__eq__0__iff,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Groups_Oplus__class_Oplus(X7,X27,X27) = c_Groups_Ozero__class_Ozero(X7)
      <=> X27 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__eq__0__iff) ).

fof(fact_field__power__not__zero,axiom,
    ! [X34,X10,X7] :
      ( class_Rings_Oring__1__no__zero__divisors(X7)
     => ( X10 != c_Groups_Ozero__class_Ozero(X7)
       => c_Power_Opower__class_Opower(X7,X10,X34) != c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_field__power__not__zero) ).

fof(fact_double__zero__sym,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Groups_Ozero__class_Ozero(X7) = c_Groups_Oplus__class_Oplus(X7,X27,X27)
      <=> X27 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__zero__sym) ).

fof(fact_real__sqrt__eq__zero__cancel,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9)
     => ( c_NthRoot_Osqrt(X9) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
       => X9 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__eq__zero__cancel) ).

fof(fact_eq__iff__diff__eq__0,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Oab__group__add(X7)
     => ( X27 = X26
      <=> c_Groups_Ominus__class_Ominus(X7,X27,X26) = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__iff__diff__eq__0) ).

fof(fact_right__minus__eq,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( c_Groups_Ominus__class_Ominus(X7,X27,X26) = c_Groups_Ozero__class_Ozero(X7)
      <=> X27 = X26 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_right__minus__eq) ).

fof(fact_real__add__eq__0__iff,axiom,
    ! [X21,X13] :
      ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,X21) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    <=> X21 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__eq__0__iff) ).

fof(fact_add__0__iff,axiom,
    ! [X27,X26,X7] :
      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X7)
     => ( X26 = c_Groups_Oplus__class_Oplus(X7,X26,X27)
      <=> X27 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0__iff) ).

fof(fact_real__sqrt__not__eq__zero,axiom,
    ! [X9] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9)
     => c_NthRoot_Osqrt(X9) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__not__eq__zero) ).

fof(fact_poly__zero,axiom,
    ! [X48,X7] :
      ( ( class_Int_Oring__char__0(X7)
        & class_Rings_Oidom(X7) )
     => ( c_Polynomial_Opoly(X7,X48) = c_Polynomial_Opoly(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)))
      <=> X48 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__zero) ).

fof(fact_order__less__imp__not__eq2,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => X14 != X9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__imp__not__eq2) ).

fof(fact_order__less__imp__not__eq,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => X9 != X14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__imp__not__eq) ).

fof(fact_less__imp__neq,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => X9 != X14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__imp__neq) ).

fof(fact_eq__number__of__0,axiom,
    ! [X33] :
      ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X33) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X33,c_Int_OPls) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__number__of__0) ).

fof(fact_eq__0__number__of,axiom,
    ! [X33] :
      ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X33)
    <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X33,c_Int_OPls) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__0__number__of) ).

fof(fact_divide__Numeral0,axiom,
    ! [X9,X7] :
      ( ( class_Fields_Ofield__inverse__zero(X7)
        & class_Int_Onumber__ring(X7) )
     => c_Rings_Oinverse__class_Odivide(X7,X9,c_Int_Onumber__class_Onumber__of(X7,c_Int_OPls)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__Numeral0) ).

fof(fact_neq0__conv,axiom,
    ! [X41] :
      ( X41 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neq0__conv) ).

fof(fact_abs__ge__zero,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oabs__class_Oabs(X7,X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__ge__zero) ).

fof(fact_le__0__eq,axiom,
    ! [X41] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X41,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    <=> X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__0__eq) ).

fof(fact_ab__left__minus,axiom,
    ! [X10,X7] :
      ( class_Groups_Oab__group__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X10) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ab__left__minus) ).

fof(fact_left__minus,axiom,
    ! [X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Ouminus__class_Ouminus(X7,X10),X10) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_left__minus) ).

fof(fact_right__minus,axiom,
    ! [X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Ouminus__class_Ouminus(X7,X10)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_right__minus) ).

fof(fact_add__is__0,axiom,
    ! [X41,X42] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X41) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    <=> ( X42 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        & X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__is__0) ).

fof(fact_gr__implies__not0,axiom,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
     => X34 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gr__implies__not0) ).

fof(fact_norm__number__of,axiom,
    ! [X11,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_RealVector_Oreal__normed__algebra__1(X7) )
     => c_RealVector_Onorm__class_Onorm(X7,c_Int_Onumber__class_Onumber__of(X7,X11)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__number__of) ).

fof(fact_norm__ge__zero,axiom,
    ! [X9,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X7,X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__ge__zero) ).

fof(fact_add__eq__self__zero,axiom,
    ! [X34,X43] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X34) = X43
     => X34 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__eq__self__zero) ).

fof(fact_poly__1,axiom,
    ! [X9,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X7))),X9) = c_Groups_Oone__class_Oone(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__1) ).

fof(fact_poly__0,axiom,
    ! [X9,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))),X9) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__0) ).

fof(fact_abs__ge__self,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,X10,c_Groups_Oabs__class_Oabs(X7,X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__ge__self) ).

fof(fact_less__not__refl2,axiom,
    ! [X43,X34] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,X43)
     => X43 != X34 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__not__refl2) ).

fof(fact_less__not__refl3,axiom,
    ! [X46,X47] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X47,X46)
     => X47 != X46 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__not__refl3) ).

fof(fact_add__poly__code_I1_J,axiom,
    ! [X40,X7] :
      ( class_Groups_Ocomm__monoid__add(X7)
     => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X7),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)),X40) = X40 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__poly__code_I1_J) ).

fof(fact_add__poly__code_I2_J,axiom,
    ! [X39,X7] :
      ( class_Groups_Ocomm__monoid__add(X7)
     => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X7),X39,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__poly__code_I2_J) ).

fof(fact_diff__poly__code_I2_J,axiom,
    ! [X39,X7] :
      ( class_Groups_Oab__group__add(X7)
     => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X7),X39,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__poly__code_I2_J) ).

fof(fact_g_I1_J,axiom,
    ! [X36] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_g____(X36)),v_r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_g_I1_J) ).

fof(fact_seq__suble,axiom,
    ! [X41,X2] :
      ( c_SEQ_Osubseq(X2)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X41,hAPP(X2,X41)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_seq__suble) ).

fof(fact_bin__less__0__simps_I1_J,axiom,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_bin__less__0__simps_I1_J) ).

fof(fact_mth1,axiom,
    ? [X3,X57] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X57),v_r)
      & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mth1) ).

fof(fact_add__numeral__0,axiom,
    ! [X10,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Int_Onumber__class_Onumber__of(X7,c_Int_OPls),X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__numeral__0) ).

fof(fact_add__numeral__0__right,axiom,
    ! [X10,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Oplus__class_Oplus(X7,X10,c_Int_Onumber__class_Onumber__of(X7,c_Int_OPls)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__numeral__0__right) ).

fof(fact_power__0__left,axiom,
    ! [X34,X7] :
      ( ( class_Power_Opower(X7)
        & class_Rings_Osemiring__0(X7) )
     => ( ( X34 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => c_Power_Opower__class_Opower(X7,c_Groups_Ozero__class_Ozero(X7),X34) = c_Groups_Oone__class_Oone(X7) )
        & ( X34 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => c_Power_Opower__class_Opower(X7,c_Groups_Ozero__class_Ozero(X7),X34) = c_Groups_Ozero__class_Ozero(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__0__left) ).

fof(fact_number__of__minus,axiom,
    ! [X11,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Int_Onumber__class_Onumber__of(X7,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11)) = c_Groups_Ouminus__class_Ouminus(X7,c_Int_Onumber__class_Onumber__of(X7,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__minus) ).

fof(fact_arith__simps_I30_J,axiom,
    ! [X11,X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Int_Onumber__class_Onumber__of(X7,X11)) = c_Int_Onumber__class_Onumber__of(X7,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_arith__simps_I30_J) ).

fof(fact_diff__0,axiom,
    ! [X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,c_Groups_Ozero__class_Ozero(X7),X10) = c_Groups_Ouminus__class_Ouminus(X7,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__0) ).

fof(fact_real__of__nat__ge__zero,axiom,
    ! [X34] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__ge__zero) ).

fof(fact_rel__simps_I2_J,axiom,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OPls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I2_J) ).

fof(fact_zadd__zminus__inverse2,axiom,
    ! [X29] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X29),X29) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__zminus__inverse2) ).

fof(fact_divide__self__if,axiom,
    ! [X10,X7] :
      ( class_Rings_Odivision__ring__inverse__zero(X7)
     => ( ( X10 = c_Groups_Ozero__class_Ozero(X7)
         => c_Rings_Oinverse__class_Odivide(X7,X10,X10) = c_Groups_Ozero__class_Ozero(X7) )
        & ( X10 != c_Groups_Ozero__class_Ozero(X7)
         => c_Rings_Oinverse__class_Odivide(X7,X10,X10) = c_Groups_Oone__class_Oone(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__self__if) ).

fof(fact_zero__le__one,axiom,
    ! [X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oone__class_Oone(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__one) ).

fof(fact_zero__less__one,axiom,
    ! [X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => c_Orderings_Oord__class_Oless(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Oone__class_Oone(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__one) ).

fof(fact_mult__left_Ozero,axiom,
    ! [X14,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ozero__class_Ozero(X7),X14) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Ozero) ).

fof(fact_mult_Ozero__left,axiom,
    ! [X12,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ozero__class_Ozero(X7),X12) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Ozero__left) ).

fof(fact_mult__zero__left,axiom,
    ! [X10,X7] :
      ( class_Rings_Omult__zero(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ozero__class_Ozero(X7),X10) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__zero__left) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
    ! [X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Ozero__class_Ozero(X7),X10) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).

fof(fact_power__one,axiom,
    ! [X34,X7] :
      ( class_Groups_Omonoid__mult(X7)
     => c_Power_Opower__class_Opower(X7,c_Groups_Oone__class_Oone(X7),X34) = c_Groups_Oone__class_Oone(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__one) ).

fof(fact_divide__zero__left,axiom,
    ! [X10,X7] :
      ( class_Rings_Odivision__ring(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ozero__class_Ozero(X7),X10) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__zero__left) ).

fof(fact_divide_Ozero,axiom,
    ! [X14,X7] :
      ( class_RealVector_Oreal__normed__field(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ozero__class_Ozero(X7),X14) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide_Ozero) ).

fof(fact_mult__right_Ozero,axiom,
    ! [X9,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,X9,c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Ozero) ).

fof(fact_mult_Ozero__right,axiom,
    ! [X10,X7] :
      ( class_RealVector_Oreal__normed__algebra(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Ozero__right) ).

fof(fact_mult__zero__right,axiom,
    ! [X10,X7] :
      ( class_Rings_Omult__zero(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__zero__right) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
    ! [X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).

fof(fact_divide__zero,axiom,
    ! [X10,X7] :
      ( class_Rings_Odivision__ring__inverse__zero(X7)
     => c_Rings_Oinverse__class_Odivide(X7,X10,c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__zero) ).

fof(fact_divide__self,axiom,
    ! [X10,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X10 != c_Groups_Ozero__class_Ozero(X7)
       => c_Rings_Oinverse__class_Odivide(X7,X10,X10) = c_Groups_Oone__class_Oone(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__self) ).

fof(fact_minus__numeral__code_I5_J,axiom,
    ! [X11] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X11)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__numeral__code_I5_J) ).

fof(fact_power__0,axiom,
    ! [X10,X7] :
      ( class_Power_Opower(X7)
     => c_Power_Opower__class_Opower(X7,X10,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__0) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
    ! [X9,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Power_Opower__class_Opower(X7,X9,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).

fof(fact_mult__1,axiom,
    ! [X10,X7] :
      ( class_Groups_Ocomm__monoid__mult(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Oone__class_Oone(X7),X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__1) ).

fof(fact_mult__1__left,axiom,
    ! [X10,X7] :
      ( class_Groups_Omonoid__mult(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Oone__class_Oone(X7),X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__1__left) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
    ! [X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,c_Groups_Oone__class_Oone(X7),X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).

fof(fact_add__0__left,axiom,
    ! [X10,X7] :
      ( class_Groups_Omonoid__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Ozero__class_Ozero(X7),X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0__left) ).

fof(fact_add__0,axiom,
    ! [X10,X7] :
      ( class_Groups_Ocomm__monoid__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Ozero__class_Ozero(X7),X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
    ! [X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Ozero__class_Ozero(X7),X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).

fof(fact_mult_Ocomm__neutral,axiom,
    ! [X10,X7] :
      ( class_Groups_Ocomm__monoid__mult(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Oone__class_Oone(X7)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Ocomm__neutral) ).

fof(fact_mult__1__right,axiom,
    ! [X10,X7] :
      ( class_Groups_Omonoid__mult(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Oone__class_Oone(X7)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__1__right) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
    ! [X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,c_Groups_Oone__class_Oone(X7)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).

fof(fact_add__0__right,axiom,
    ! [X10,X7] :
      ( class_Groups_Omonoid__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Ozero__class_Ozero(X7)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0__right) ).

fof(fact_add_Ocomm__neutral,axiom,
    ! [X10,X7] :
      ( class_Groups_Ocomm__monoid__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Ozero__class_Ozero(X7)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add_Ocomm__neutral) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
    ! [X10,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Groups_Oplus__class_Oplus(X7,X10,c_Groups_Ozero__class_Ozero(X7)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).

fof(fact_divide__1,axiom,
    ! [X10,X7] :
      ( class_Rings_Odivision__ring(X7)
     => c_Rings_Oinverse__class_Odivide(X7,X10,c_Groups_Oone__class_Oone(X7)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__1) ).

fof(fact_diff__0__right,axiom,
    ! [X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,X10,c_Groups_Ozero__class_Ozero(X7)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__0__right) ).

fof(fact_power__one__right,axiom,
    ! [X10,X7] :
      ( class_Groups_Omonoid__mult(X7)
     => c_Power_Opower__class_Opower(X7,X10,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__one__right) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
    ! [X9,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Power_Opower__class_Opower(X7,X9,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J) ).

fof(fact_diff__self,axiom,
    ! [X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,X10,X10) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__self) ).

fof(fact_order__eq__refl,axiom,
    ! [X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( X9 = X14
       => c_Orderings_Oord__class_Oless__eq(X7,X9,X14) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__eq__refl) ).

fof(fact_times_Oidem,axiom,
    ! [X10,X7] :
      ( class_Lattices_Oab__semigroup__idem__mult(X7)
     => c_Groups_Otimes__class_Otimes(X7,X10,X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_times_Oidem) ).

fof(fact_mult__idem,axiom,
    ! [X9,X7] :
      ( class_Lattices_Oab__semigroup__idem__mult(X7)
     => c_Groups_Otimes__class_Otimes(X7,X9,X9) = X9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__idem) ).

fof(fact_order__refl,axiom,
    ! [X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => c_Orderings_Oord__class_Oless__eq(X7,X9,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__refl) ).

fof(fact_One__nat__def,axiom,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_One__nat__def) ).

fof(fact_abs__idempotent,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Groups_Oabs__class_Oabs(X7,X10)) = c_Groups_Oabs__class_Oabs(X7,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__idempotent) ).

fof(fact_abs__minus__cancel,axiom,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Groups_Ouminus__class_Ouminus(X7,X10)) = c_Groups_Oabs__class_Oabs(X7,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__minus__cancel) ).

fof(fact_norm__minus__cancel,axiom,
    ! [X9,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ouminus__class_Ouminus(X7,X9)) = c_RealVector_Onorm__class_Onorm(X7,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__minus__cancel) ).

fof(fact_eq__number__of,axiom,
    ! [X21,X13,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Int_Oring__char__0(X7) )
     => ( c_Int_Onumber__class_Onumber__of(X7,X13) = c_Int_Onumber__class_Onumber__of(X7,X21)
      <=> X13 = X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__number__of) ).

fof(fact_poly__eq__iff,axiom,
    ! [X49,X48,X7] :
      ( ( class_Int_Oring__char__0(X7)
        & class_Rings_Oidom(X7) )
     => ( c_Polynomial_Opoly(X7,X48) = c_Polynomial_Opoly(X7,X49)
      <=> X48 = X49 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__eq__iff) ).

fof(fact_gr0I,axiom,
    ! [X34] :
      ( X34 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gr0I) ).

fof(fact_abs__norm__cancel,axiom,
    ! [X10,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X10)) = c_RealVector_Onorm__class_Onorm(X7,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__norm__cancel) ).

fof(fact_diff__0__eq__0,axiom,
    ! [X34] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__0__eq__0) ).

fof(fact_real__mult__1,axiom,
    ! [X29] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X29) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__1) ).

fof(fact_plus__nat_Oadd__0,axiom,
    ! [X34] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34) = X34,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_plus__nat_Oadd__0) ).

fof(fact_zadd__0,axiom,
    ! [X29] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X29) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__0) ).

fof(fact_Nat_Oadd__0__right,axiom,
    ! [X43] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).

fof(fact_zadd__0__right,axiom,
    ! [X29] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X29,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__0__right) ).

fof(fact_minus__nat_Odiff__0,axiom,
    ! [X43] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__nat_Odiff__0) ).

fof(fact_eq__imp__le,axiom,
    ! [X34,X43] :
      ( X43 = X34
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__imp__le) ).

fof(fact_less__eq__nat_Osimps_I1_J,axiom,
    ! [X34] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__nat_Osimps_I1_J) ).

fof(fact_le0,axiom,
    ! [X34] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le0) ).

fof(fact_minus__poly__code_I1_J,axiom,
    ! [X7] :
      ( class_Groups_Oab__group__add(X7)
     => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X7),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__poly__code_I1_J) ).

fof(fact_diff__self__eq__0,axiom,
    ! [X43] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X43) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__self__eq__0) ).

fof(fact_compl__eq__compl__iff,axiom,
    ! [X21,X13,X7] :
      ( class_Lattices_Oboolean__algebra(X7)
     => ( c_Groups_Ouminus__class_Ouminus(X7,X13) = c_Groups_Ouminus__class_Ouminus(X7,X21)
      <=> X13 = X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_compl__eq__compl__iff) ).

fof(fact_neg__equal__iff__equal,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( c_Groups_Ouminus__class_Ouminus(X7,X27) = c_Groups_Ouminus__class_Ouminus(X7,X26)
      <=> X27 = X26 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__equal__iff__equal) ).

fof(fact_le__refl,axiom,
    ! [X34] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X34,X34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__refl) ).

fof(fact_zle__refl,axiom,
    ! [X11] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X11,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__refl) ).

fof(fact_real__le__refl,axiom,
    ! [X11] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__refl) ).

fof(fact_add__Pls,axiom,
    ! [X16] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X16) = X16,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Pls) ).

fof(fact_add__Pls__right,axiom,
    ! [X16] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,c_Int_OPls) = X16,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Pls__right) ).

fof(fact_diff__bin__simps_I1_J,axiom,
    ! [X16] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,X16,c_Int_OPls) = X16,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__bin__simps_I1_J) ).

fof(fact_Bit0__Pls,axiom,
    c_Int_OBit0(c_Int_OPls) = c_Int_OPls,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit0__Pls) ).

fof(fact_double__compl,axiom,
    ! [X9,X7] :
      ( class_Lattices_Oboolean__algebra(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Ouminus__class_Ouminus(X7,X9)) = X9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__compl) ).

fof(fact_minus__minus,axiom,
    ! [X10,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Ouminus__class_Ouminus(X7,X10)) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__minus) ).

fof(fact_abs__real__of__nat__cancel,axiom,
    ! [X9] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X9)) = c_RealDef_Oreal(tc_Nat_Onat,X9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__real__of__nat__cancel) ).

fof(fact_minus__equation__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( c_Groups_Ouminus__class_Ouminus(X7,X27) = X26
      <=> c_Groups_Ouminus__class_Ouminus(X7,X26) = X27 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__equation__iff) ).

fof(fact_equation__minus__iff,axiom,
    ! [X26,X27,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( X27 = c_Groups_Ouminus__class_Ouminus(X7,X26)
      <=> X26 = c_Groups_Ouminus__class_Ouminus(X7,X27) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_equation__minus__iff) ).

fof(fact_real__sqrt__minus,axiom,
    ! [X9] : c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X9)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(X9)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__minus) ).

fof(fact_psize__eq__0__iff,axiom,
    ! [X48,X7] :
      ( class_Groups_Ozero(X7)
     => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X7,X48) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      <=> X48 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_psize__eq__0__iff) ).

fof(fact_iszero__Numeral0,axiom,
    ! [X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Int_OPls)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_iszero__Numeral0) ).

fof(fact_real__of__nat__inject,axiom,
    ! [X42,X41] :
      ( c_RealDef_Oreal(tc_Nat_Onat,X41) = c_RealDef_Oreal(tc_Nat_Onat,X42)
    <=> X41 = X42 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__inject) ).

fof(fact_neg__0__equal__iff__equal,axiom,
    ! [X27,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( c_Groups_Ozero__class_Ozero(X7) = c_Groups_Ouminus__class_Ouminus(X7,X27)
      <=> c_Groups_Ozero__class_Ozero(X7) = X27 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__0__equal__iff__equal) ).

fof(fact_abs__eq__0,axiom,
    ! [X27,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ( c_Groups_Oabs__class_Oabs(X7,X27) = c_Groups_Ozero__class_Ozero(X7)
      <=> X27 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__eq__0) ).

fof(fact_neg__equal__0__iff__equal,axiom,
    ! [X27,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( c_Groups_Ouminus__class_Ouminus(X7,X27) = c_Groups_Ozero__class_Ozero(X7)
      <=> X27 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__equal__0__iff__equal) ).

fof(fact_norm__eq__zero,axiom,
    ! [X13,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => ( c_RealVector_Onorm__class_Onorm(X7,X13) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
      <=> X13 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__eq__zero) ).

fof(arity_fun__Groups_Ouminus,axiom,
    ! [X89,X88] :
      ( class_Groups_Ouminus(X88)
     => class_Groups_Ouminus(tc_fun(X89,X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Groups_Ouminus) ).

fof(arity_fun__Groups_Ominus,axiom,
    ! [X89,X88] :
      ( class_Groups_Ominus(X88)
     => class_Groups_Ominus(tc_fun(X89,X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Groups_Ominus) ).

fof(arity_fun__Orderings_Oord,axiom,
    ! [X89,X88] :
      ( class_Orderings_Oord(X88)
     => class_Orderings_Oord(tc_fun(X89,X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Orderings_Oord) ).

fof(arity_fun__Lattices_Oboolean__algebra,axiom,
    ! [X89,X88] :
      ( class_Lattices_Oboolean__algebra(X88)
     => class_Lattices_Oboolean__algebra(tc_fun(X89,X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Lattices_Oboolean__algebra) ).

fof(arity_fun__Orderings_Oorder,axiom,
    ! [X89,X88] :
      ( class_Orderings_Oorder(X88)
     => class_Orderings_Oorder(tc_fun(X89,X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Orderings_Oorder) ).

fof(arity_fun__Orderings_Opreorder,axiom,
    ! [X89,X88] :
      ( class_Orderings_Opreorder(X88)
     => class_Orderings_Opreorder(tc_fun(X89,X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Orderings_Opreorder) ).

fof(fact_zminus__zminus,axiom,
    ! [X29] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X29)) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zminus__zminus) ).

fof(fact_neg__equal__zero,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( c_Groups_Ouminus__class_Ouminus(X7,X27) = X27
      <=> X27 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__equal__zero) ).

fof(fact_equal__neg__zero,axiom,
    ! [X27,X7] :
      ( class_Groups_Olinordered__ab__group__add(X7)
     => ( X27 = c_Groups_Ouminus__class_Ouminus(X7,X27)
      <=> X27 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_equal__neg__zero) ).

fof(fact_iszero__def,axiom,
    ! [X52,X7] :
      ( class_Rings_Osemiring__1(X7)
     => ( c_Int_Oiszero(X7,X52)
      <=> X52 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_iszero__def) ).

fof(fact_abs__one,axiom,
    ! [X7] :
      ( class_Rings_Olinordered__idom(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Groups_Oone__class_Oone(X7)) = c_Groups_Oone__class_Oone(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__one) ).

fof(fact_abs__zero,axiom,
    ! [X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => c_Groups_Oabs__class_Oabs(X7,c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__zero) ).

fof(fact_minus__zero,axiom,
    ! [X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__zero) ).

fof(fact_norm__one,axiom,
    ! [X7] :
      ( class_RealVector_Oreal__normed__algebra__1(X7)
     => c_RealVector_Onorm__class_Onorm(X7,c_Groups_Oone__class_Oone(X7)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__one) ).

fof(fact_norm__zero,axiom,
    ! [X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__zero) ).

fof(fact_natceiling__real__of__nat,axiom,
    ! [X34] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X34)) = X34,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__real__of__nat) ).

fof(fact_real__of__nat__zero__iff,axiom,
    ! [X41] :
      ( c_RealDef_Oreal(tc_Nat_Onat,X41) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    <=> X41 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__zero__iff) ).

fof(fact_iszero__0,axiom,
    ! [X7] :
      ( class_Rings_Osemiring__1(X7)
     => c_Int_Oiszero(X7,c_Groups_Ozero__class_Ozero(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_iszero__0) ).

fof(fact_real__norm__def,axiom,
    ! [X8] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X8) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).

fof(fact_number__of__Pls,axiom,
    ! [X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Int_Onumber__class_Onumber__of(X7,c_Int_OPls) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__Pls) ).

fof(fact_semiring__norm_I112_J,axiom,
    ! [X7] :
      ( class_Int_Onumber__ring(X7)
     => c_Groups_Ozero__class_Ozero(X7) = c_Int_Onumber__class_Onumber__of(X7,c_Int_OPls) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_semiring__norm_I112_J) ).

fof(fact_one__neq__zero,axiom,
    ! [X7] :
      ( class_Rings_Ozero__neq__one(X7)
     => c_Groups_Oone__class_Oone(X7) != c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__neq__zero) ).

fof(fact_zero__neq__one,axiom,
    ! [X7] :
      ( class_Rings_Ozero__neq__one(X7)
     => c_Groups_Ozero__class_Ozero(X7) != c_Groups_Oone__class_Oone(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__neq__one) ).

fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,
    ! [X88] :
      ( class_Groups_Ocancel__comm__monoid__add(X88)
     => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add) ).

fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__1(X88)
     => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult) ).

fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__comm__semiring) ).

fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__semiring) ).

fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Oordered__ring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__ring) ).

fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__ring) ).

fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,
    ! [X88] :
      ( class_Rings_Oidom(X88)
     => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors) ).

fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__0(X88)
     => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oab__semigroup__mult) ).

fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__ring(X88)
     => class_Rings_Oring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__ring__strict) ).

fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__0(X88)
     => class_Rings_Osemiring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Osemiring) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__0(X88)
     => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__ring__1(X88)
     => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__ring__1) ).

fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
    ! [X88] :
      ( class_Rings_Oidom(X88)
     => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).

fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__0(X88)
     => class_Rings_Osemiring__0(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Osemiring__0) ).

fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,
    ! [X88] :
      ( class_Rings_Oidom(X88)
     => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ono__zero__divisors) ).

fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__0(X88)
     => class_Rings_Omult__zero(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Omult__zero) ).

fof(arity_Polynomial__Opoly__Power_Opower,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__1(X88)
     => class_Power_Opower(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Power_Opower) ).

fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__1(X88)
     => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Omonoid__mult) ).

fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__ring__1(X88)
     => class_Rings_Oring__1(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring__1) ).

fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,
    ! [X88] :
      ( class_Rings_Oidom(X88)
     => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors) ).

fof(arity_Polynomial__Opoly__Rings_Osemiring__1,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__1(X88)
     => class_Rings_Osemiring__1(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Osemiring__1) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add) ).

fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,
    ! [X88] :
      ( class_Groups_Ocomm__monoid__add(X88)
     => class_Groups_Omonoid__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Omonoid__add) ).

fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,
    ! [X88] :
      ( class_Groups_Ocomm__monoid__add(X88)
     => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocomm__monoid__add) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le) ).

fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,
    ! [X88] :
      ( class_Groups_Ocancel__comm__monoid__add(X88)
     => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add) ).

fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,
    ! [X88] :
      ( class_Groups_Ocancel__comm__monoid__add(X88)
     => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add) ).

fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,
    ! [X88] :
      ( class_Groups_Ocomm__monoid__add(X88)
     => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oab__semigroup__add) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semidom) ).

fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__1(X88)
     => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ozero__neq__one) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__1(X88)
     => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).

fof(arity_Polynomial__Opoly__Groups_Oone,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__1(X88)
     => class_Groups_Oone(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oone) ).

fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom,
    ! [X88] :
      ( class_Groups_Oab__group__add(X88)
     => class_Groups_Ouminus(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ouminus) ).

fof(arity_Polynomial__Opoly__Groups_Ominus,axiom,
    ! [X88] :
      ( class_Groups_Oab__group__add(X88)
     => class_Groups_Ominus(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ominus) ).

fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Orderings_Oord(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Oord) ).

fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Orderings_Oorder(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Oorder) ).

fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Orderings_Opreorder(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Opreorder) ).

fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,
    ! [X88] :
      ( class_Rings_Oidom(X88)
     => class_Rings_Oidom(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oidom) ).

fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Orderings_Olinorder(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Olinorder) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__0(X88)
     => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__0) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__ring(X88)
     => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__ring) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__group__add) ).

fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,
    ! [X88] :
      ( class_Groups_Oab__group__add(X88)
     => class_Groups_Oab__group__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oab__group__add) ).

fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
    ! [X88] :
      ( class_Groups_Ozero(X88)
     => class_Groups_Ozero(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ozero) ).

fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add) ).

fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
    ! [X88] :
      ( class_Groups_Oab__group__add(X88)
     => class_Groups_Ogroup__add(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ogroup__add) ).

fof(arity_Polynomial__Opoly__Groups_Oabs__if,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Groups_Oabs__if(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oabs__if) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs) ).

fof(arity_Polynomial__Opoly__Int_Onumber,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__ring__1(X88)
     => class_Int_Onumber(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Int_Onumber) ).

fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Int_Oring__char__0(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Int_Oring__char__0) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,
    ! [X88] :
      ( class_Rings_Olinordered__idom(X88)
     => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__idom) ).

fof(arity_Polynomial__Opoly__Int_Onumber__ring,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__ring__1(X88)
     => class_Int_Onumber__ring(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Int_Onumber__ring) ).

fof(fact_real__sqrt__eq__iff,axiom,
    ! [X21,X13] :
      ( c_NthRoot_Osqrt(X13) = c_NthRoot_Osqrt(X21)
    <=> X13 = X21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__eq__iff) ).

fof(fact_real__sqrt__eq__1__iff,axiom,
    ! [X13] :
      ( c_NthRoot_Osqrt(X13) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    <=> X13 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__eq__1__iff) ).

fof(fact_real__sqrt__eq__0__iff,axiom,
    ! [X13] :
      ( c_NthRoot_Osqrt(X13) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    <=> X13 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__eq__0__iff) ).

fof(fact_number__of__is__id,axiom,
    ! [X16] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X16) = X16,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__is__id) ).

fof(conj_1,conjecture,
    v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(fact_e,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_e) ).

fof(fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r)
    & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096) ).

fof(fact_number__of2,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of2) ).

fof(fact_wr,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),v_r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_wr) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J) ).

fof(fact_int__0__less__1,axiom,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_int__0__less__1) ).

fof(fact_rp,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rp) ).

fof(fact_rel__simps_I19_J,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rel__simps_I19_J) ).

fof(fact_real__of__nat__1,axiom,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__1) ).

fof(fact_real__of__nat__zero,axiom,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__zero) ).

fof(fact_zminus__0,axiom,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zminus__0) ).

fof(fact_nat__number__of__Pls,axiom,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__number__of__Pls) ).

fof(fact_semiring__norm_I113_J,axiom,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_semiring__norm_I113_J) ).

fof(fact_zero__is__num__zero,axiom,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__is__num__zero) ).

fof(fact_minus__Pls,axiom,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls) = c_Int_OPls,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__Pls) ).

fof(fact_real__sqrt__one,axiom,
    c_NthRoot_Osqrt(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__one) ).

fof(fact_real__sqrt__zero,axiom,
    c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__zero) ).

fof(fact_int__0__neq__1,axiom,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_int__0__neq__1) ).

fof(fact_real__zero__not__eq__one,axiom,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__zero__not__eq__one) ).

fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom,
    class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Ocancel__comm__monoid__add) ).

fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom,
    class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ocancel__comm__monoid__add) ).

fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom,
    class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add) ).

fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom,
    class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add) ).

fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
    class_Groups_Ocomm__monoid__mult(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Ocomm__monoid__mult) ).

fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
    class_Groups_Ocomm__monoid__mult(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ocomm__monoid__mult) ).

fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom,
    class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult) ).

fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom,
    class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ocomm__monoid__mult) ).

fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
    class_Rings_Oordered__comm__semiring(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Oordered__comm__semiring) ).

fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
    class_Rings_Oordered__comm__semiring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oordered__comm__semiring) ).

fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom,
    class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oordered__comm__semiring) ).

fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
    class_Rings_Oordered__semiring(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Oordered__semiring) ).

fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
    class_Rings_Oordered__semiring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oordered__semiring) ).

fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom,
    class_Rings_Oordered__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oordered__semiring) ).

fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
    class_Rings_Oordered__ring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oordered__ring) ).

fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom,
    class_Rings_Oordered__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oordered__ring) ).

fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
    class_Rings_Oordered__cancel__semiring(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Oordered__cancel__semiring) ).

fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
    class_Rings_Oordered__cancel__semiring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oordered__cancel__semiring) ).

fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom,
    class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oordered__cancel__semiring) ).

fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
    class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict) ).

fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
    class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Olinordered__comm__semiring__strict) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom,
    class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict) ).

fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
    class_Rings_Olinordered__semiring__strict(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Olinordered__semiring__strict) ).

fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
    class_Rings_Olinordered__semiring__strict(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Olinordered__semiring__strict) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom,
    class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semiring__strict) ).

fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
    class_Rings_Olinordered__ring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Olinordered__ring) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom,
    class_Rings_Olinordered__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__ring) ).

fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
    class_Rings_Oring__no__zero__divisors(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oring__no__zero__divisors) ).

fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,
    class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors) ).

fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom,
    class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oring__no__zero__divisors) ).

fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
    class_Groups_Oab__semigroup__mult(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Oab__semigroup__mult) ).

fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
    class_Groups_Oab__semigroup__mult(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oab__semigroup__mult) ).

fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom,
    class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Oab__semigroup__mult) ).

fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom,
    class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oab__semigroup__mult) ).

fof(arity_Int__Oint__Rings_Oring,axiom,
    class_Rings_Oring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oring) ).

fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
    class_Rings_Oring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring) ).

fof(arity_RealDef__Oreal__Rings_Oring,axiom,
    class_Rings_Oring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oring) ).

fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
    class_Rings_Olinordered__ring__strict(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Olinordered__ring__strict) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
    class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__ring__strict) ).

fof(arity_Nat__Onat__Rings_Osemiring,axiom,
    class_Rings_Osemiring(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Osemiring) ).

fof(arity_Int__Oint__Rings_Osemiring,axiom,
    class_Rings_Osemiring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Osemiring) ).

fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,
    class_Rings_Osemiring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Osemiring) ).

fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,
    class_Rings_Osemiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Osemiring) ).

fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
    class_Rings_Ocomm__semiring(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Ocomm__semiring) ).

fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
    class_Rings_Ocomm__semiring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Ocomm__semiring) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom,
    class_Rings_Ocomm__semiring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring) ).

fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom,
    class_Rings_Ocomm__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring) ).

fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).

fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).

fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
    class_Rings_Ocomm__ring__1(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Ocomm__ring__1) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
    class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__ring__1) ).

fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom,
    class_Rings_Ocomm__ring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__ring__1) ).

fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).

fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).

fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).

fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).

fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
    class_Rings_Osemiring__0(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Osemiring__0) ).

fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
    class_Rings_Osemiring__0(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Osemiring__0) ).

fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom,
    class_Rings_Osemiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Osemiring__0) ).

fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom,
    class_Rings_Osemiring__0(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Osemiring__0) ).

fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
    class_Rings_Ono__zero__divisors(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Ono__zero__divisors) ).

fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
    class_Rings_Ono__zero__divisors(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Ono__zero__divisors) ).

fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,
    class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ono__zero__divisors) ).

fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom,
    class_Rings_Ono__zero__divisors(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ono__zero__divisors) ).

fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
    class_Rings_Omult__zero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Omult__zero) ).

fof(arity_Int__Oint__Rings_Omult__zero,axiom,
    class_Rings_Omult__zero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Omult__zero) ).

fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,
    class_Rings_Omult__zero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Omult__zero) ).

fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom,
    class_Rings_Omult__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Omult__zero) ).

fof(arity_Nat__Onat__Power_Opower,axiom,
    class_Power_Opower(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Power_Opower) ).

fof(arity_Int__Oint__Power_Opower,axiom,
    class_Power_Opower(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Power_Opower) ).

fof(arity_Complex__Ocomplex__Power_Opower,axiom,
    class_Power_Opower(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Power_Opower) ).

fof(arity_RealDef__Oreal__Power_Opower,axiom,
    class_Power_Opower(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Power_Opower) ).

fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
    class_Groups_Omonoid__mult(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Omonoid__mult) ).

fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
    class_Groups_Omonoid__mult(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Omonoid__mult) ).

fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,
    class_Groups_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Omonoid__mult) ).

fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom,
    class_Groups_Omonoid__mult(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Omonoid__mult) ).

fof(arity_Int__Oint__Rings_Oring__1,axiom,
    class_Rings_Oring__1(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oring__1) ).

fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom,
    class_Rings_Oring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring__1) ).

fof(arity_RealDef__Oreal__Rings_Oring__1,axiom,
    class_Rings_Oring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oring__1) ).

fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
    class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oring__1__no__zero__divisors) ).

fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,
    class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors) ).

fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom,
    class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors) ).

fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
    class_Rings_Osemiring__1(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Osemiring__1) ).

fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
    class_Rings_Osemiring__1(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Osemiring__1) ).

fof(arity_Complex__Ocomplex__Rings_Osemiring__1,axiom,
    class_Rings_Osemiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Osemiring__1) ).

fof(arity_RealDef__Oreal__Rings_Osemiring__1,axiom,
    class_Rings_Osemiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Osemiring__1) ).

fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
    class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Oordered__comm__monoid__add) ).

fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
    class_Groups_Oordered__comm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oordered__comm__monoid__add) ).

fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).

fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
    class_Groups_Omonoid__add(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Omonoid__add) ).

fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
    class_Groups_Omonoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Omonoid__add) ).

fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom,
    class_Groups_Omonoid__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Omonoid__add) ).

fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom,
    class_Groups_Omonoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Omonoid__add) ).

fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
    class_Groups_Ocomm__monoid__add(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Ocomm__monoid__add) ).

fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
    class_Groups_Ocomm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ocomm__monoid__add) ).

fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
    class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ocomm__monoid__add) ).

fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom,
    class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ocomm__monoid__add) ).

fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
    class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Oordered__ab__semigroup__add) ).

fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
    class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oordered__ab__semigroup__add) ).

fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom,
    class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add) ).

fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
    class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add) ).

fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
    class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add) ).

fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,
    class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add) ).

fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le) ).

fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le) ).

fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le) ).

fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
    class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add) ).

fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
    class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ocancel__ab__semigroup__add) ).

fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom,
    class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add) ).

fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom,
    class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add) ).

fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
    class_Groups_Ocancel__semigroup__add(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Ocancel__semigroup__add) ).

fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
    class_Groups_Ocancel__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ocancel__semigroup__add) ).

fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom,
    class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add) ).

fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom,
    class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ocancel__semigroup__add) ).

fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
    class_Groups_Oab__semigroup__add(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Oab__semigroup__add) ).

fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
    class_Groups_Oab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oab__semigroup__add) ).

fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom,
    class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Oab__semigroup__add) ).

fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom,
    class_Groups_Oab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oab__semigroup__add) ).

fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).

fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) ).

fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
    class_Rings_Olinordered__semidom(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Olinordered__semidom) ).

fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
    class_Rings_Olinordered__semidom(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Olinordered__semidom) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).

fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
    class_Rings_Ozero__neq__one(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Ozero__neq__one) ).

fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
    class_Rings_Ozero__neq__one(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Ozero__neq__one) ).

fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
    class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ozero__neq__one) ).

fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom,
    class_Rings_Ozero__neq__one(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ozero__neq__one) ).

fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Ocomm__semiring__1) ).

fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Ocomm__semiring__1) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).

fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).

fof(arity_Nat__Onat__Groups_Oone,axiom,
    class_Groups_Oone(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Oone) ).

fof(arity_Int__Oint__Groups_Oone,axiom,
    class_Groups_Oone(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oone) ).

fof(arity_Complex__Ocomplex__Groups_Oone,axiom,
    class_Groups_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Oone) ).

fof(arity_RealDef__Oreal__Groups_Oone,axiom,
    class_Groups_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oone) ).

fof(arity_HOL__Obool__Groups_Ouminus,axiom,
    class_Groups_Ouminus(tc_HOL_Obool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Groups_Ouminus) ).

fof(arity_Int__Oint__Groups_Ouminus,axiom,
    class_Groups_Ouminus(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ouminus) ).

fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom,
    class_Groups_Ouminus(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ouminus) ).

fof(arity_RealDef__Oreal__Groups_Ouminus,axiom,
    class_Groups_Ouminus(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ouminus) ).

fof(arity_HOL__Obool__Groups_Ominus,axiom,
    class_Groups_Ominus(tc_HOL_Obool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Groups_Ominus) ).

fof(arity_Nat__Onat__Groups_Ominus,axiom,
    class_Groups_Ominus(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Ominus) ).

fof(arity_Int__Oint__Groups_Ominus,axiom,
    class_Groups_Ominus(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ominus) ).

fof(arity_Complex__Ocomplex__Groups_Ominus,axiom,
    class_Groups_Ominus(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ominus) ).

fof(arity_RealDef__Oreal__Groups_Ominus,axiom,
    class_Groups_Ominus(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ominus) ).

fof(arity_HOL__Obool__Orderings_Oord,axiom,
    class_Orderings_Oord(tc_HOL_Obool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Oord) ).

fof(arity_Nat__Onat__Orderings_Oord,axiom,
    class_Orderings_Oord(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Oord) ).

fof(arity_Int__Oint__Orderings_Oord,axiom,
    class_Orderings_Oord(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Orderings_Oord) ).

fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
    class_Orderings_Oord(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oord) ).

fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
    class_Lattices_Oboolean__algebra(tc_HOL_Obool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Lattices_Oboolean__algebra) ).

fof(arity_HOL__Obool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_HOL_Obool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Oorder) ).

fof(arity_Nat__Onat__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Oorder) ).

fof(arity_Int__Oint__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Orderings_Oorder) ).

fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).

fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_HOL_Obool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Opreorder) ).

fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Opreorder) ).

fof(arity_Int__Oint__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Orderings_Opreorder) ).

fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).

fof(arity_Int__Oint__Rings_Oidom,axiom,
    class_Rings_Oidom(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oidom) ).

fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
    class_Rings_Oidom(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).

fof(arity_RealDef__Oreal__Rings_Oidom,axiom,
    class_Rings_Oidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oidom) ).

fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Olinorder) ).

fof(arity_Int__Oint__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Orderings_Olinorder) ).

fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).

fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Ocomm__semiring__0) ).

fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Ocomm__semiring__0) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).

fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__0) ).

fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
    class_Rings_Ocomm__ring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Ocomm__ring) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom,
    class_Rings_Ocomm__ring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__ring) ).

fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom,
    class_Rings_Ocomm__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__ring) ).

fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom,
    class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero) ).

fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom,
    class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero) ).

fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
    class_Groups_Oordered__ab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oordered__ab__group__add) ).

fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,
    class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add) ).

fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
    class_Groups_Oab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oab__group__add) ).

fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
    class_Groups_Oab__group__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Oab__group__add) ).

fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,
    class_Groups_Oab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oab__group__add) ).

fof(arity_Nat__Onat__Groups_Ozero,axiom,
    class_Groups_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Ozero) ).

fof(arity_Int__Oint__Groups_Ozero,axiom,
    class_Groups_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ozero) ).

fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).

fof(arity_RealDef__Oreal__Groups_Ozero,axiom,
    class_Groups_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ozero) ).

fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
    class_Groups_Olinordered__ab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Olinordered__ab__group__add) ).

fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,
    class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Olinordered__ab__group__add) ).

fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
    class_Groups_Ogroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ogroup__add) ).

fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
    class_Groups_Ogroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).

fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).

fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
    class_Rings_Odivision__ring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Odivision__ring) ).

fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
    class_Rings_Odivision__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Odivision__ring) ).

fof(arity_Int__Oint__Groups_Oabs__if,axiom,
    class_Groups_Oabs__if(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oabs__if) ).

fof(arity_RealDef__Oreal__Groups_Oabs__if,axiom,
    class_Groups_Oabs__if(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oabs__if) ).

fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
    class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oordered__ab__group__add__abs) ).

fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
    class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).

fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
    class_Fields_Olinordered__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).

fof(arity_Nat__Onat__Int_Onumber,axiom,
    class_Int_Onumber(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Int_Onumber) ).

fof(arity_Int__Oint__Int_Onumber,axiom,
    class_Int_Onumber(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Int_Onumber) ).

fof(arity_Complex__Ocomplex__Int_Onumber,axiom,
    class_Int_Onumber(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Int_Onumber) ).

fof(arity_RealDef__Oreal__Int_Onumber,axiom,
    class_Int_Onumber(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber) ).

fof(arity_Int__Oint__Int_Oring__char__0,axiom,
    class_Int_Oring__char__0(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Int_Oring__char__0) ).

fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
    class_Int_Oring__char__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Int_Oring__char__0) ).

fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom,
    class_Int_Oring__char__0(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Oring__char__0) ).

fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
    class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield__inverse__zero) ).

fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
    class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Ofield__inverse__zero) ).

fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).

fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
    class_Fields_Ofield(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).

fof(arity_RealDef__Oreal__Fields_Ofield,axiom,
    class_Fields_Ofield(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Ofield) ).

fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).

fof(arity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__field) ).

fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).

fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1) ).

fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
    class_Rings_Olinordered__idom(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Olinordered__idom) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).

fof(arity_Int__Oint__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Int_Onumber__ring) ).

fof(arity_Complex__Ocomplex__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Int_Onumber__ring) ).

fof(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring) ).

fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
    class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).

fof(fact_fz_I1_J,axiom,
    c_SEQ_Osubseq(v_f____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_fz_I1_J) ).

fof(fact_Pls__def,axiom,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Pls__def) ).

fof(i_0_1266,plain,
    ! [X14,X9,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Groups_Oplus__class_Oplus(X7,c_Power_Opower__class_Opower(X7,X9,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X7,X14,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X7)) ),
    inference(fof_simplification,[status(thm)],[fact_not__sum__power2__lt__zero]) ).

fof(i_0_1267,plain,
    ! [X10,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Power_Opower__class_Opower(X7,X10,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Ozero__class_Ozero(X7)) ),
    inference(fof_simplification,[status(thm)],[fact_power2__less__0]) ).

fof(i_0_1268,plain,
    ! [X11,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Int_Oring__char__0(X7) )
     => ~ c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit1(X11))) ),
    inference(fof_simplification,[status(thm)],[fact_iszero__number__of__Bit1]) ).

fof(i_0_1269,plain,
    ! [X7] :
      ( class_Int_Onumber__ring(X7)
     => ~ c_Int_Oiszero(X7,c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit1(c_Int_OPls))) ),
    inference(fof_simplification,[status(thm)],[fact_not__iszero__Numeral1]) ).

fof(i_0_1270,plain,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,c_Nat_OSuc(X34))
     => ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
       => X43 = c_Nat_OSuc(X34) ) ),
    inference(fof_simplification,[status(thm)],[fact_le__SucE]) ).

fof(i_0_1271,plain,
    ! [X41,X42] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42,X41)
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X41),X42) ),
    inference(fof_simplification,[status(thm)],[fact_not__less__eq__eq]) ).

fof(i_0_1272,plain,
    ! [X41,X42] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X41)
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,c_Nat_OSuc(X42)) ),
    inference(fof_simplification,[status(thm)],[fact_not__less__eq]) ).

fof(i_0_1273,plain,
    ! [X34,X43] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,c_Nat_OSuc(X34))
     => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
       => X43 = X34 ) ),
    inference(fof_simplification,[status(thm)],[fact_less__SucE]) ).

fof(i_0_1274,plain,
    ! [X43,X34] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,X43)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Nat_OSuc(X43))
       => X43 = X34 ) ),
    inference(fof_simplification,[status(thm)],[fact_less__antisym]) ).

fof(i_0_1275,plain,
    ! [X42,X41] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,X42)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X41,c_Nat_OSuc(X42))
      <=> X41 = X42 ) ),
    inference(fof_simplification,[status(thm)],[fact_not__less__less__Suc__eq]) ).

fof(i_0_1276,plain,
    ! [X34] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X34),X34),
    inference(fof_simplification,[status(thm)],[fact_Suc__n__not__le__n]) ).

fof(i_0_1277,plain,
    ! [X3751,X3752,X3753,X3754] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3754,X3753),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3752,X3751),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3754,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3752,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3753,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3751,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__sum__squares__triangle__ineq]) ).

fof(i_0_1278,plain,
    ! [X4123] : c_Int_OBit0(X4123) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4123,X4123),
    inference(variable_rename,[status(thm)],[fact_Bit0__def]) ).

fof(i_0_1279,plain,
    ! [X4091] : c_Int_OBit1(X4091) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4091),X4091),
    inference(variable_rename,[status(thm)],[fact_Bit1__def]) ).

fof(i_0_1280,plain,
    ! [X4083,X4084] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X4084,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4084,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4083,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(variable_rename,[status(thm)],[fact_cos__x__y__le__one]) ).

fof(i_0_1281,plain,
    ! [X4578,X4579,X4580,X4581] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4581,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4580,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4579,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4578,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__sum__squares__mult__ge__zero]) ).

fof(i_0_1282,plain,
    ! [X3941,X3942,X3943] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3943),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3942,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3941),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3942,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3943,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3941,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X3942) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__sum__squares__less])]) ).

fof(i_0_1283,plain,
    ! [X3953,X3954,X3955] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3955)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3954,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3955,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3953,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3955,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3954)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3953)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3954,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3953,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X3955) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_lemma__sqrt__hcomplex__capprox])]) ).

fof(i_0_1284,plain,
    ! [X3765,X3766] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3766),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3766,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3765,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__ge__abs1]) ).

fof(i_0_1285,plain,
    ! [X3767,X3768] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3768),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3767,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3768,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__ge__abs2]) ).

fof(i_0_1286,plain,
    ! [X3763,X3764] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3764,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3763,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__sum__squares__ge__zero]) ).

fof(i_0_1287,plain,
    ! [X3757,X3758] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3758,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3758,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3757,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__sum__squares__ge1]) ).

fof(i_0_1288,plain,
    ! [X3755,X3756] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3756,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3755,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3756,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__sum__squares__ge2]) ).

fof(i_0_1289,plain,
    ! [X3965,X3966,X3967] :
      ( ( ~ c_Orderings_Oord__class_Oless(X3967,c_Groups_Ozero__class_Ozero(X3967),c_Groups_Oplus__class_Oplus(X3967,c_Power_Opower__class_Opower(X3967,X3966,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3967,X3965,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
        | X3966 != c_Groups_Ozero__class_Ozero(X3967)
        | X3965 != c_Groups_Ozero__class_Ozero(X3967)
        | ~ class_Rings_Olinordered__idom(X3967) )
      & ( X3966 = c_Groups_Ozero__class_Ozero(X3967)
        | c_Orderings_Oord__class_Oless(X3967,c_Groups_Ozero__class_Ozero(X3967),c_Groups_Oplus__class_Oplus(X3967,c_Power_Opower__class_Opower(X3967,X3966,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3967,X3965,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
        | ~ class_Rings_Olinordered__idom(X3967) )
      & ( X3965 = c_Groups_Ozero__class_Ozero(X3967)
        | c_Orderings_Oord__class_Oless(X3967,c_Groups_Ozero__class_Ozero(X3967),c_Groups_Oplus__class_Oplus(X3967,c_Power_Opower__class_Opower(X3967,X3966,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3967,X3965,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
        | ~ class_Rings_Olinordered__idom(X3967) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__power2__gt__zero__iff])])]) ).

fof(i_0_1290,plain,
    ! [X3959,X3960,X3961] :
      ( ( X3960 = c_Groups_Ozero__class_Ozero(X3961)
        | ~ c_Orderings_Oord__class_Oless__eq(X3961,c_Groups_Oplus__class_Oplus(X3961,c_Power_Opower__class_Opower(X3961,X3960,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3961,X3959,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X3961))
        | ~ class_Rings_Olinordered__idom(X3961) )
      & ( X3959 = c_Groups_Ozero__class_Ozero(X3961)
        | ~ c_Orderings_Oord__class_Oless__eq(X3961,c_Groups_Oplus__class_Oplus(X3961,c_Power_Opower__class_Opower(X3961,X3960,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3961,X3959,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X3961))
        | ~ class_Rings_Olinordered__idom(X3961) )
      & ( X3960 != c_Groups_Ozero__class_Ozero(X3961)
        | X3959 != c_Groups_Ozero__class_Ozero(X3961)
        | c_Orderings_Oord__class_Oless__eq(X3961,c_Groups_Oplus__class_Oplus(X3961,c_Power_Opower__class_Opower(X3961,X3960,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3961,X3959,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X3961))
        | ~ class_Rings_Olinordered__idom(X3961) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__power2__le__zero__iff])])]) ).

fof(i_0_1291,plain,
    ! [X3962,X3963,X3964] :
      ( ~ class_Rings_Olinordered__idom(X3964)
      | ~ c_Orderings_Oord__class_Oless(X3964,c_Groups_Oplus__class_Oplus(X3964,c_Power_Opower__class_Opower(X3964,X3963,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3964,X3962,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X3964)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1266])]) ).

fof(i_0_1292,plain,
    ! [X3761,X3762] :
      ( c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3762,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3761,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X3761
      | X3762 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__sum__squares__eq__cancel2])]) ).

fof(i_0_1293,plain,
    ! [X3759,X3760] :
      ( c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3760,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3759,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X3760
      | X3759 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__sum__squares__eq__cancel])]) ).

fof(i_0_1294,plain,
    ! [X3956,X3957,X3958] :
      ( ~ class_Rings_Olinordered__idom(X3958)
      | c_Orderings_Oord__class_Oless__eq(X3958,c_Groups_Ozero__class_Ozero(X3958),c_Groups_Oplus__class_Oplus(X3958,c_Power_Opower__class_Opower(X3958,X3957,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3958,X3956,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__power2__ge__zero])]) ).

fof(i_0_1295,plain,
    ! [X4057,X4058,X4059] :
      ( ~ class_Rings_Olinordered__semidom(X4059)
      | ~ c_Orderings_Oord__class_Oless__eq(X4059,c_Power_Opower__class_Opower(X4059,X4058,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X4059,X4057,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(X4059,c_Groups_Ozero__class_Ozero(X4059),X4057)
      | c_Orderings_Oord__class_Oless__eq(X4059,X4058,X4057) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power2__le__imp__le])]) ).

fof(i_0_1296,plain,
    ! [X3472,X3473,X3474] :
      ( ~ class_Rings_Olinordered__semidom(X3474)
      | ~ c_Orderings_Oord__class_Oless(X3474,c_Power_Opower__class_Opower(X3474,X3473,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3474,X3472,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(X3474,c_Groups_Ozero__class_Ozero(X3474),X3472)
      | c_Orderings_Oord__class_Oless(X3474,X3473,X3472) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power2__less__imp__less])]) ).

fof(i_0_1297,plain,
    ! [X3935,X3936,X3937] :
      ( ( X3936 = c_Groups_Ozero__class_Ozero(X3937)
        | c_Groups_Oplus__class_Oplus(X3937,c_Power_Opower__class_Opower(X3937,X3936,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3937,X3935,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X3937)
        | ~ class_Rings_Olinordered__idom(X3937) )
      & ( X3935 = c_Groups_Ozero__class_Ozero(X3937)
        | c_Groups_Oplus__class_Oplus(X3937,c_Power_Opower__class_Opower(X3937,X3936,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3937,X3935,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X3937)
        | ~ class_Rings_Olinordered__idom(X3937) )
      & ( X3936 != c_Groups_Ozero__class_Ozero(X3937)
        | X3935 != c_Groups_Ozero__class_Ozero(X3937)
        | c_Groups_Oplus__class_Oplus(X3937,c_Power_Opower__class_Opower(X3937,X3936,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X3937,X3935,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X3937)
        | ~ class_Rings_Olinordered__idom(X3937) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__power2__eq__zero__iff])])]) ).

fof(i_0_1298,plain,
    ! [X3939,X3940] :
      ( ( X3940 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3940,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3939,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X3939 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3940,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3939,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X3940 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X3939 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3940,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3939,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__two__sum__zero__iff])])]) ).

fof(i_0_1299,plain,
    ! [X4071,X4072] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4072,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4071,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(variable_rename,[status(thm)],[fact_realpow__square__minus__le]) ).

fof(i_0_1300,hypothesis,
    ! [X5108] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X5108),v_z____)))
        | v_thesis____
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X5108) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X5108),v_z____)),X5108)
        | v_thesis____
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X5108) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(X5108)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        | v_thesis____
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X5108) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])]) ).

fof(i_0_1301,plain,
    ! [X4359] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X4359,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X4359,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X4359,
    inference(variable_rename,[status(thm)],[fact_real__sum__of__halves]) ).

fof(i_0_1302,plain,
    ! [X3480] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3480)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3480,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),X3480) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_lemma__real__divide__sqrt__less])]) ).

fof(i_0_1303,plain,
    ! [X2580] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk2_0)
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X2580,v_z____)))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X2580,v_z____)),esk2_0)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X2580),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096EX_Ad_0620_O_AALL_Aw_O_A0_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_A_N_N_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096])])])]) ).

fof(i_0_1304,plain,
    ! [X4060,X4061,X4062] :
      ( ~ class_Rings_Olinordered__semidom(X4062)
      | c_Power_Opower__class_Opower(X4062,X4061,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(X4062,X4060,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
      | ~ c_Orderings_Oord__class_Oless__eq(X4062,c_Groups_Ozero__class_Ozero(X4062),X4061)
      | ~ c_Orderings_Oord__class_Oless__eq(X4062,c_Groups_Ozero__class_Ozero(X4062),X4060)
      | X4061 = X4060 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power2__eq__imp__eq])]) ).

fof(i_0_1305,plain,
    ! [X2581,X2582] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2582,c_Groups_Ozero__class_Ozero(X2582),c_Rings_Oinverse__class_Odivide(X2582,X2581,c_Int_Onumber__class_Onumber__of(X2582,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        | c_Orderings_Oord__class_Oless(X2582,c_Groups_Ozero__class_Ozero(X2582),X2581)
        | ~ class_Fields_Olinordered__field__inverse__zero(X2582)
        | ~ class_Int_Onumber__ring(X2582) )
      & ( ~ c_Orderings_Oord__class_Oless(X2582,c_Groups_Ozero__class_Ozero(X2582),X2581)
        | c_Orderings_Oord__class_Oless(X2582,c_Groups_Ozero__class_Ozero(X2582),c_Rings_Oinverse__class_Odivide(X2582,X2581,c_Int_Onumber__class_Onumber__of(X2582,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2582)
        | ~ class_Int_Onumber__ring(X2582) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_half__gt__zero__iff])])]) ).

fof(i_0_1306,plain,
    ! [X4065,X4066] :
      ( ( ~ c_Orderings_Oord__class_Oless(X4066,c_Groups_Ozero__class_Ozero(X4066),c_Power_Opower__class_Opower(X4066,X4065,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        | X4065 != c_Groups_Ozero__class_Ozero(X4066)
        | ~ class_Rings_Olinordered__idom(X4066) )
      & ( X4065 = c_Groups_Ozero__class_Ozero(X4066)
        | c_Orderings_Oord__class_Oless(X4066,c_Groups_Ozero__class_Ozero(X4066),c_Power_Opower__class_Opower(X4066,X4065,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        | ~ class_Rings_Olinordered__idom(X4066) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power2])])]) ).

fof(i_0_1307,plain,
    ! [X4063,X4064] :
      ( ~ class_Rings_Olinordered__idom(X4064)
      | ~ c_Orderings_Oord__class_Oless(X4064,c_Power_Opower__class_Opower(X4064,X4063,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Ozero__class_Ozero(X4064)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1267])]) ).

fof(i_0_1308,plain,
    ! [X4085,X4086] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4086,X4085),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X4086) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X4085,X4086),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    inference(variable_rename,[status(thm)],[fact_real__average__minus__first]) ).

fof(i_0_1309,plain,
    ! [X4356,X4357] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4357,X4356),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X4356) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X4357,X4356),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    inference(variable_rename,[status(thm)],[fact_real__average__minus__second]) ).

fof(i_0_1310,plain,
    ! [X4048,X4049] :
      ( ~ class_Rings_Olinordered__idom(X4049)
      | c_Groups_Oabs__class_Oabs(X4049,c_Power_Opower__class_Opower(X4049,X4048,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(X4049,X4048,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__power2])]) ).

fof(i_0_1311,plain,
    ! [X4075,X4076] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4076,X4075)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4076,X4075),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X4075) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__gt__half__sum])]) ).

fof(i_0_1312,plain,
    ! [X4073,X4074] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4074,X4073)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4074,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4074,X4073),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__less__half__sum])]) ).

fof(i_0_1313,plain,
    ! [X4989,X4990,X4991] :
      ( ~ class_Rings_Ocomm__semiring__1(X4991)
      | c_Power_Opower__class_Opower(X4991,X4990,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X4989)) = c_Groups_Otimes__class_Otimes(X4991,c_Power_Opower__class_Opower(X4991,X4990,X4989),c_Power_Opower__class_Opower(X4991,X4990,X4989)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J])]) ).

fof(i_0_1314,plain,
    ! [X4355] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X4355),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4355,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__one__imp__sqr__less__one])]) ).

fof(i_0_1315,plain,
    ! [X2583,X2584] :
      ( ~ class_Fields_Olinordered__field__inverse__zero(X2584)
      | ~ class_Int_Onumber__ring(X2584)
      | ~ c_Orderings_Oord__class_Oless(X2584,c_Groups_Ozero__class_Ozero(X2584),X2583)
      | c_Orderings_Oord__class_Oless(X2584,c_Groups_Ozero__class_Ozero(X2584),c_Rings_Oinverse__class_Odivide(X2584,X2583,c_Int_Onumber__class_Onumber__of(X2584,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_half__gt__zero])]) ).

fof(i_0_1316,plain,
    ! [X3952] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3952)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3952),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__pow2__gt__zero])]) ).

fof(i_0_1317,plain,
    ! [X3471] :
      ( ~ class_Fields_Olinordered__field__inverse__zero(X3471)
      | ~ class_Int_Onumber__ring(X3471)
      | c_Orderings_Oord__class_Oless(X3471,c_Groups_Ozero__class_Ozero(X3471),c_Rings_Oinverse__class_Odivide(X3471,c_Groups_Oone__class_Oone(X3471),c_Int_Onumber__class_Onumber__of(X3471,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_half])]) ).

fof(i_0_1318,plain,
    ! [X3938] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3938),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X3938)),
    inference(variable_rename,[status(thm)],[fact_two__realpow__gt]) ).

fof(i_0_1319,plain,
    ! [X4055,X4056] :
      ( ~ class_Rings_Olinordered__idom(X4056)
      | c_Orderings_Oord__class_Oless__eq(X4056,c_Groups_Ozero__class_Ozero(X4056),c_Power_Opower__class_Opower(X4056,X4055,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__power2])]) ).

fof(i_0_1320,plain,
    ! [X4070] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X4070)),
    inference(variable_rename,[status(thm)],[fact_two__realpow__ge__one]) ).

fof(i_0_1321,plain,
    ! [X4050,X4051] :
      ( ~ class_Rings_Olinordered__idom(X4051)
      | c_Power_Opower__class_Opower(X4051,c_Groups_Oabs__class_Oabs(X4051,X4050),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X4051,X4050,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power2__abs])]) ).

fof(i_0_1322,plain,
    ! [X4046,X4047] :
      ( ~ class_Rings_Oring__1(X4047)
      | c_Power_Opower__class_Opower(X4047,c_Groups_Ouminus__class_Ouminus(X4047,X4046),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X4047,X4046,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power2__minus])]) ).

fof(i_0_1323,plain,
    ! [X3934] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3934,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3934),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__abs]) ).

fof(i_0_1324,plain,
    ! [X4343] : c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(X4343))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),X4343),
    inference(variable_rename,[status(thm)],[fact_Suc3__eq__add__3]) ).

fof(i_0_1325,plain,
    ! [X4089] : c_Nat_OSuc(X4089) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4089,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).

fof(i_0_1326,plain,
    ! [X4555,X4556] :
      ( ( c_Int_Onumber__class_Onumber__of(X4556,X4555) != c_Groups_Oone__class_Oone(X4556)
        | c_Int_Oiszero(X4556,c_Int_Onumber__class_Onumber__of(X4556,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4555,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))))
        | ~ class_Int_Onumber__ring(X4556) )
      & ( ~ c_Int_Oiszero(X4556,c_Int_Onumber__class_Onumber__of(X4556,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4555,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))))
        | c_Int_Onumber__class_Onumber__of(X4556,X4555) = c_Groups_Oone__class_Oone(X4556)
        | ~ class_Int_Onumber__ring(X4556) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__special_I4_J])])]) ).

fof(i_0_1327,plain,
    ! [X4358] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4358)
      | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4358,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
      | X4358 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
      | X4358 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_int__pos__lt__two__imp__zero__or__one])]) ).

fof(i_0_1328,plain,
    ! [X3950,X3951] :
      ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3951,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X3950
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3951)
      | c_NthRoot_Osqrt(X3950) = X3951 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__unique])]) ).

fof(i_0_1329,plain,
    ! [X3948] :
      ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3948),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X3948
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3948) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3948)
        | c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3948),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X3948 ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__pow2__iff])]) ).

fof(i_0_1330,plain,
    ! [X4069] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4069,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
      | X4069 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | X4069 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__2__cases])]) ).

fof(i_0_1331,plain,
    ! [X4067,X4068] :
      ( ( c_Power_Opower__class_Opower(X4068,X4067,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(X4068)
        | X4067 = c_Groups_Oone__class_Oone(X4068)
        | X4067 = c_Groups_Ouminus__class_Ouminus(X4068,c_Groups_Oone__class_Oone(X4068))
        | ~ class_Rings_Oring__1__no__zero__divisors(X4068) )
      & ( X4067 != c_Groups_Oone__class_Oone(X4068)
        | c_Power_Opower__class_Opower(X4068,X4067,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X4068)
        | ~ class_Rings_Oring__1__no__zero__divisors(X4068) )
      & ( X4067 != c_Groups_Ouminus__class_Ouminus(X4068,c_Groups_Oone__class_Oone(X4068))
        | c_Power_Opower__class_Opower(X4068,X4067,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X4068)
        | ~ class_Rings_Oring__1__no__zero__divisors(X4068) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power2__eq__1__iff])])]) ).

fof(i_0_1332,plain,
    ! [X4043,X4044] :
      ( ( c_Power_Opower__class_Opower(X4044,X4043,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(X4044)
        | X4043 = c_Groups_Ozero__class_Ozero(X4044)
        | ~ class_Rings_Oring__1__no__zero__divisors(X4044) )
      & ( X4043 != c_Groups_Ozero__class_Ozero(X4044)
        | c_Power_Opower__class_Opower(X4044,X4043,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X4044)
        | ~ class_Rings_Oring__1__no__zero__divisors(X4044) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__eq__power2])])]) ).

fof(i_0_1333,plain,
    ! [X4344] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X4344) = c_Nat_OSuc(c_Nat_OSuc(X4344)),
    inference(variable_rename,[status(thm)],[fact_add__2__eq__Suc]) ).

fof(i_0_1334,plain,
    ! [X4345] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4345,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Nat_OSuc(c_Nat_OSuc(X4345)),
    inference(variable_rename,[status(thm)],[fact_add__2__eq__Suc_H]) ).

fof(i_0_1335,plain,
    ! [X3949] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3949)
      | c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3949),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X3949 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__pow2])]) ).

fof(i_0_1336,plain,
    ! [X4045] :
      ( ~ class_Rings_Osemiring__1(X4045)
      | c_Power_Opower__class_Opower(X4045,c_Groups_Oone__class_Oone(X4045),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X4045) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__power2])]) ).

fof(i_0_1337,plain,
    ! [X4042] :
      ( ~ class_Rings_Osemiring__1(X4042)
      | c_Power_Opower__class_Opower(X4042,c_Groups_Ozero__class_Ozero(X4042),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X4042) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__power2])]) ).

fof(i_0_1338,plain,
    ! [X4516] : c_Power_Opower__class_Opower(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(X4516),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X4516,
    inference(variable_rename,[status(thm)],[fact_csqrt]) ).

fof(i_0_1339,plain,
    ! [X4557,X4558] :
      ( ( c_Groups_Oone__class_Oone(X4558) != c_Int_Onumber__class_Onumber__of(X4558,X4557)
        | c_Int_Oiszero(X4558,c_Int_Onumber__class_Onumber__of(X4558,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4557))))
        | ~ class_Int_Onumber__ring(X4558) )
      & ( ~ c_Int_Oiszero(X4558,c_Int_Onumber__class_Onumber__of(X4558,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4557))))
        | c_Groups_Oone__class_Oone(X4558) = c_Int_Onumber__class_Onumber__of(X4558,X4557)
        | ~ class_Int_Onumber__ring(X4558) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__special_I2_J])])]) ).

fof(i_0_1340,plain,
    ! [X4053,X4054] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),X4054)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4053),X4054) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4053,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4054,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__diff__eq__diff__pred])]) ).

fof(i_0_1341,plain,
    ! [X4080] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(esk35_0,X4080)),v_r)
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(esk35_0,X4080))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4080))))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096])]) ).

fof(i_0_1342,plain,
    ! [X4081] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk36_1(X4081)),v_r)
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk36_1(X4081))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4081))))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact__096_B_Bn_O_AEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_096])]) ).

fof(i_0_1343,plain,
    ! [X4077] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk34_1(X4077)),v_r)
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk34_1(X4077))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4077))))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_th])]) ).

fof(i_0_1344,plain,
    ! [X3475] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(X3475))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3475))))),
    inference(variable_rename,[status(thm)],[fact_g_I2_J]) ).

fof(i_0_1345,plain,
    ! [X4346,X4347] :
      ( ~ class_Int_Onumber__ring(X4347)
      | c_Groups_Ominus__class_Ominus(X4347,c_Int_Onumber__class_Onumber__of(X4347,X4346),c_Groups_Oone__class_Oone(X4347)) = c_Int_Onumber__class_Onumber__of(X4347,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4346,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__special_I2_J])]) ).

fof(i_0_1346,plain,
    ! [X3779,X3780,X3781,X3784,X3785,X3788] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3781)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3780,hAPP(X3779,esk27_3(X3779,X3780,X3781))),X3781)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3780,hAPP(X3779,X3784)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk28_2(X3779,X3780))))
        | ~ class_RealVector_Oreal__normed__vector(X3780) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk30_2(X3779,X3780))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3780,hAPP(X3779,esk29_3(X3779,X3780,X3785))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3785)))
        | ~ class_RealVector_Oreal__normed__vector(X3780) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3780,hAPP(X3779,X3788)),esk30_2(X3779,X3780))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3780,hAPP(X3779,esk29_3(X3779,X3780,X3785))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3785)))
        | ~ class_RealVector_Oreal__normed__vector(X3780) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_lemma__NBseq__def])])])])]) ).

fof(i_0_1347,plain,
    ! [X3769,X3770,X3771,X3774,X3775,X3778] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3771)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3770,hAPP(X3769,esk23_3(X3769,X3770,X3771))),X3771)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3770,hAPP(X3769,X3774)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk24_2(X3769,X3770))))
        | ~ class_RealVector_Oreal__normed__vector(X3770) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk26_2(X3769,X3770))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3770,hAPP(X3769,esk25_3(X3769,X3770,X3775))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3775)))
        | ~ class_RealVector_Oreal__normed__vector(X3770) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3770,hAPP(X3769,X3778)),esk26_2(X3769,X3770))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3770,hAPP(X3769,esk25_3(X3769,X3770,X3775))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3775)))
        | ~ class_RealVector_Oreal__normed__vector(X3770) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_lemma__NBseq__def2])])])])]) ).

fof(i_0_1348,plain,
    ! [X4052] :
      ( ~ class_Int_Onumber__ring(X4052)
      | c_Groups_Oplus__class_Oplus(X4052,c_Groups_Oone__class_Oone(X4052),c_Groups_Oone__class_Oone(X4052)) = c_Int_Onumber__class_Onumber__of(X4052,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__add__one__is__two])]) ).

fof(i_0_1349,plain,
    ! [X4441,X4442,X4443,X4444] :
      ( ~ class_Rings_Olinordered__semidom(X4444)
      | ~ c_Orderings_Oord__class_Oless__eq(X4444,c_Power_Opower__class_Opower(X4444,X4443,c_Nat_OSuc(X4442)),c_Power_Opower__class_Opower(X4444,X4441,c_Nat_OSuc(X4442)))
      | ~ c_Orderings_Oord__class_Oless__eq(X4444,c_Groups_Ozero__class_Ozero(X4444),X4441)
      | c_Orderings_Oord__class_Oless__eq(X4444,X4443,X4441) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__le__imp__le__base])]) ).

fof(i_0_1350,plain,
    ! [X3501,X3502,X3503] :
      ( ( c_Power_Opower__class_Opower(X3503,X3502,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != c_Power_Opower__class_Opower(X3503,X3501,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
        | X3502 = X3501
        | X3502 = c_Groups_Ouminus__class_Ouminus(X3503,X3501)
        | ~ class_Rings_Oidom(X3503) )
      & ( X3502 != X3501
        | c_Power_Opower__class_Opower(X3503,X3502,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Power_Opower__class_Opower(X3503,X3501,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
        | ~ class_Rings_Oidom(X3503) )
      & ( X3502 != c_Groups_Ouminus__class_Ouminus(X3503,X3501)
        | c_Power_Opower__class_Opower(X3503,X3502,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Power_Opower__class_Opower(X3503,X3501,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
        | ~ class_Rings_Oidom(X3503) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__two__disj])])]) ).

fof(i_0_1351,plain,
    ! [X3124,X3125] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3125),c_Int_OBit1(X3124))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3125,X3124) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3125,X3124)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3125),c_Int_OBit1(X3124)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__int__code_I16_J])]) ).

fof(i_0_1352,plain,
    ! [X3122,X3123] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3123),c_Int_OBit1(X3122))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3123,X3122) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3123,X3122)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3123),c_Int_OBit1(X3122)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I34_J])]) ).

fof(i_0_1353,plain,
    ! [X2610,X2611] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2611),c_Int_OBit1(X2610))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2611,X2610) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2611,X2610)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2611),c_Int_OBit1(X2610)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I17_J])]) ).

fof(i_0_1354,plain,
    ! [X2608,X2609] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2609),c_Int_OBit1(X2608))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2609,X2608) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2609,X2608)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2609),c_Int_OBit1(X2608)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__int__code_I16_J])]) ).

fof(i_0_1355,plain,
    ! [X4563,X4564] :
      ( ~ class_Int_Onumber__ring(X4564)
      | ~ class_Int_Oring__char__0(X4564)
      | ~ c_Int_Oiszero(X4564,c_Int_Onumber__class_Onumber__of(X4564,c_Int_OBit1(X4563))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1268])]) ).

fof(i_0_1356,plain,
    ! [X4568] :
      ( ~ class_Int_Onumber__ring(X4568)
      | ~ c_Int_Oiszero(X4568,c_Int_Onumber__class_Onumber__of(X4568,c_Int_OBit1(c_Int_OPls))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1269])]) ).

fof(i_0_1357,plain,
    ! [X2758,X2759] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(X2759),c_Int_OBit1(X2758)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2759,X2758)),
    inference(variable_rename,[status(thm)],[fact_diff__bin__simps_I10_J]) ).

fof(i_0_1358,plain,
    ! [X4231,X4232] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(X4232),c_Int_OBit0(X4231)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4232,X4231)),
    inference(variable_rename,[status(thm)],[fact_add__Bit1__Bit0]) ).

fof(i_0_1359,plain,
    ! [X2756,X2757] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(X2757),c_Int_OBit0(X2756)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2757,X2756)),
    inference(variable_rename,[status(thm)],[fact_diff__bin__simps_I9_J]) ).

fof(i_0_1360,plain,
    ! [X4233,X4234] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X4234),c_Int_OBit1(X4233)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4234,X4233)),
    inference(variable_rename,[status(thm)],[fact_add__Bit0__Bit1]) ).

fof(i_0_1361,plain,
    ! [X4348,X4349] :
      ( ~ class_Int_Onumber__ring(X4349)
      | c_Groups_Ominus__class_Ominus(X4349,c_Groups_Oone__class_Oone(X4349),c_Int_Onumber__class_Onumber__of(X4349,X4348)) = c_Int_Onumber__class_Onumber__of(X4349,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4348))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__special_I1_J])]) ).

fof(i_0_1362,plain,
    ! [X3388] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(X3388)))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X3388)) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(X3388)))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X3388)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_number__of1])])]) ).

fof(i_0_1363,plain,
    ! [X3789,X3790] :
      ( ~ class_Int_Onumber__ring(X3790)
      | c_Groups_Oplus__class_Oplus(X3790,c_Int_Onumber__class_Onumber__of(X3790,X3789),c_Groups_Oone__class_Oone(X3790)) = c_Int_Onumber__class_Onumber__of(X3790,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3789,c_Int_OBit1(c_Int_OPls))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__special_I3_J])]) ).

fof(i_0_1364,plain,
    ! [X3791,X3792] :
      ( ~ class_Int_Onumber__ring(X3792)
      | c_Groups_Oplus__class_Oplus(X3792,c_Groups_Oone__class_Oone(X3792),c_Int_Onumber__class_Onumber__of(X3792,X3791)) = c_Int_Onumber__class_Onumber__of(X3792,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X3791)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__special_I2_J])]) ).

fof(i_0_1365,plain,
    ! [X3165,X3166] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3166),c_Int_OBit0(X3165))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X3166,X3165) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3166,X3165)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3166),c_Int_OBit0(X3165)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__int__code_I15_J])]) ).

fof(i_0_1366,plain,
    ! [X3163,X3164] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3164),c_Int_OBit0(X3163))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X3164,X3163) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3164,X3163)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3164),c_Int_OBit0(X3163)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I33_J])]) ).

fof(i_0_1367,plain,
    ! [X2620,X2621] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2621),c_Int_OBit0(X2620))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2621,X2620) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2621,X2620)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2621),c_Int_OBit0(X2620)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I16_J])]) ).

fof(i_0_1368,plain,
    ! [X2618,X2619] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2619),c_Int_OBit0(X2618))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2619,X2618) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2619,X2618)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2619),c_Int_OBit0(X2618)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__int__code_I15_J])]) ).

fof(i_0_1369,plain,
    ! [X3141,X3142] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3142),c_Int_OBit1(X3141))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3142,X3141) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3142,X3141)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3142),c_Int_OBit1(X3141)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__int__code_I14_J])]) ).

fof(i_0_1370,plain,
    ! [X3139,X3140] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3140),c_Int_OBit1(X3139))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3140,X3139) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3140,X3139)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3140),c_Int_OBit1(X3139)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I32_J])]) ).

fof(i_0_1371,plain,
    ! [X3161,X3162] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X3162),c_Int_OBit1(X3161))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3162,X3161) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3162,X3161)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X3162),c_Int_OBit1(X3161)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__int__code_I14_J])]) ).

fof(i_0_1372,plain,
    ! [X3159,X3160] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X3160),c_Int_OBit1(X3159))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3160,X3159) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3160,X3159)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X3160),c_Int_OBit1(X3159)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I15_J])]) ).

fof(i_0_1373,plain,
    ! [X2596,X2597] :
      ( ~ class_Fields_Ofield(X2597)
      | ~ class_Int_Onumber__ring(X2597)
      | c_Rings_Oinverse__class_Odivide(X2597,X2596,c_Int_Onumber__class_Onumber__of(X2597,c_Int_OBit1(c_Int_OPls))) = X2596 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__Numeral1])]) ).

fof(i_0_1374,plain,
    ! [X2594,X2595] :
      ( ~ class_Fields_Ofield(X2595)
      | ~ class_Int_Onumber__ring(X2595)
      | c_Rings_Oinverse__class_Odivide(X2595,X2594,c_Int_Onumber__class_Onumber__of(X2595,c_Int_OBit1(c_Int_OPls))) = X2594 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__numeral__1])]) ).

fof(i_0_1375,plain,
    ! [X4334,X4335,X4336] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4336,X4335)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4335,X4336)),X4334) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4335),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4336,X4334)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__diff__eq2])]) ).

fof(i_0_1376,plain,
    ! [X4331,X4332,X4333] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4333,X4332)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4331,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4332,X4333))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4331,X4333),c_Nat_OSuc(X4332)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__diff__eq1])]) ).

fof(i_0_1377,plain,
    ! [X4445,X4446,X4447,X4448] :
      ( ~ class_Rings_Olinordered__semidom(X4448)
      | c_Power_Opower__class_Opower(X4448,X4447,c_Nat_OSuc(X4446)) != c_Power_Opower__class_Opower(X4448,X4445,c_Nat_OSuc(X4446))
      | ~ c_Orderings_Oord__class_Oless__eq(X4448,c_Groups_Ozero__class_Ozero(X4448),X4447)
      | ~ c_Orderings_Oord__class_Oless__eq(X4448,c_Groups_Ozero__class_Ozero(X4448),X4445)
      | X4447 = X4445 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__inject__base])]) ).

fof(i_0_1378,plain,
    ! [X4423] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4423,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
      | X4423 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | X4423 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__lt__two__imp__zero__or__one])]) ).

fof(i_0_1379,plain,
    ! [X3463,X3464] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3464,c_Int_Onumber__class_Onumber__of(X3464,X3463),c_Groups_Oone__class_Oone(X3464))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3463,c_Int_OBit1(c_Int_OPls))
        | ~ class_Int_Onumber__ring(X3464)
        | ~ class_Rings_Olinordered__idom(X3464) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3463,c_Int_OBit1(c_Int_OPls))
        | c_Orderings_Oord__class_Oless__eq(X3464,c_Int_Onumber__class_Onumber__of(X3464,X3463),c_Groups_Oone__class_Oone(X3464))
        | ~ class_Int_Onumber__ring(X3464)
        | ~ class_Rings_Olinordered__idom(X3464) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__special_I4_J])])]) ).

fof(i_0_1380,plain,
    ! [X3467,X3468] :
      ( ( ~ c_Orderings_Oord__class_Oless(X3468,c_Int_Onumber__class_Onumber__of(X3468,X3467),c_Groups_Oone__class_Oone(X3468))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X3467,c_Int_OBit1(c_Int_OPls))
        | ~ class_Int_Onumber__ring(X3468)
        | ~ class_Rings_Olinordered__idom(X3468) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3467,c_Int_OBit1(c_Int_OPls))
        | c_Orderings_Oord__class_Oless(X3468,c_Int_Onumber__class_Onumber__of(X3468,X3467),c_Groups_Oone__class_Oone(X3468))
        | ~ class_Int_Onumber__ring(X3468)
        | ~ class_Rings_Olinordered__idom(X3468) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__special_I4_J])])]) ).

fof(i_0_1381,plain,
    ! [X3465,X3466] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3466,c_Groups_Oone__class_Oone(X3466),c_Int_Onumber__class_Onumber__of(X3466,X3465))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X3465)
        | ~ class_Int_Onumber__ring(X3466)
        | ~ class_Rings_Olinordered__idom(X3466) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X3465)
        | c_Orderings_Oord__class_Oless__eq(X3466,c_Groups_Oone__class_Oone(X3466),c_Int_Onumber__class_Onumber__of(X3466,X3465))
        | ~ class_Int_Onumber__ring(X3466)
        | ~ class_Rings_Olinordered__idom(X3466) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__special_I2_J])])]) ).

fof(i_0_1382,plain,
    ! [X3469,X3470] :
      ( ( ~ c_Orderings_Oord__class_Oless(X3470,c_Groups_Oone__class_Oone(X3470),c_Int_Onumber__class_Onumber__of(X3470,X3469))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X3469)
        | ~ class_Int_Onumber__ring(X3470)
        | ~ class_Rings_Olinordered__idom(X3470) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X3469)
        | c_Orderings_Oord__class_Oless(X3470,c_Groups_Oone__class_Oone(X3470),c_Int_Onumber__class_Onumber__of(X3470,X3469))
        | ~ class_Int_Onumber__ring(X3470)
        | ~ class_Rings_Olinordered__idom(X3470) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__special_I2_J])])]) ).

fof(i_0_1383,plain,
    ! [X26,X27,X45] :
      ( hBOOL(hAPP(X45,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X27,X26)))
    <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27,X26)
            & ~ hBOOL(hAPP(X45,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
          | ? [X4] :
              ( X27 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X26,X4)
              & ~ hBOOL(hAPP(X45,X4)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_nat__diff__split__asm]) ).

fof(i_0_1384,plain,
    ! [X2606] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2606),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2606,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2606,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2606),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bin__less__0__simps_I4_J])]) ).

fof(i_0_1385,plain,
    ! [X3730,X3731,X3732] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X3732),X3731),c_Nat_OSuc(X3730)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3732,X3731),X3730),
    inference(variable_rename,[status(thm)],[fact_Suc__diff__diff]) ).

fof(i_0_1386,plain,
    ! [X3138] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X3138))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X3138) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X3138)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X3138)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I22_J])]) ).

fof(i_0_1387,plain,
    ! [X3157] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X3157))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X3157) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X3157)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X3157)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I5_J])]) ).

fof(i_0_1388,plain,
    ! [X3158] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3158),c_Int_OPls)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X3158,c_Int_OPls) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3158,c_Int_OPls)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X3158),c_Int_OPls) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I29_J])]) ).

fof(i_0_1389,plain,
    ! [X2617] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2617),c_Int_OPls)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2617,c_Int_OPls) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2617,c_Int_OPls)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X2617),c_Int_OPls) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I12_J])]) ).

fof(i_0_1390,plain,
    ! [X3998,X3999] :
      ( ~ class_Int_Onumber__ring(X3999)
      | c_Int_Onumber__class_Onumber__of(X3999,c_Int_OBit1(X3998)) = c_Groups_Oplus__class_Oplus(X3999,c_Groups_Oplus__class_Oplus(X3999,c_Groups_Oone__class_Oone(X3999),c_Int_Onumber__class_Onumber__of(X3999,X3998)),c_Int_Onumber__class_Onumber__of(X3999,X3998)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_number__of__Bit1])]) ).

fof(i_0_1391,plain,
    ! [X4484,X4485,X4486] :
      ( ~ class_Rings_Olinordered__semidom(X4486)
      | ~ c_Orderings_Oord__class_Oless(X4486,c_Groups_Ozero__class_Ozero(X4486),X4485)
      | ~ c_Orderings_Oord__class_Oless(X4486,X4485,c_Groups_Oone__class_Oone(X4486))
      | c_Orderings_Oord__class_Oless(X4486,c_Power_Opower__class_Opower(X4486,X4485,c_Nat_OSuc(X4484)),c_Groups_Oone__class_Oone(X4486)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc__less__one])]) ).

fof(i_0_1392,plain,
    ! [X3733,X3734,X3735] :
      ( ~ class_Rings_Olinordered__semidom(X3735)
      | ~ c_Orderings_Oord__class_Oless__eq(X3735,c_Groups_Ozero__class_Ozero(X3735),X3734)
      | ~ c_Orderings_Oord__class_Oless__eq(X3735,X3734,c_Groups_Oone__class_Oone(X3735))
      | c_Orderings_Oord__class_Oless__eq(X3735,c_Power_Opower__class_Opower(X3735,X3734,c_Nat_OSuc(X3733)),X3734) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__Suc__le__self])]) ).

fof(i_0_1393,plain,
    ! [X3944,X3945,X3946] :
      ( ( ~ c_SEQ_Osubseq(X3944)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X3944,X3945),hAPP(X3944,c_Nat_OSuc(X3945))) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X3946,esk33_1(X3946)),hAPP(X3946,c_Nat_OSuc(esk33_1(X3946))))
        | c_SEQ_Osubseq(X3946) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_subseq__Suc__iff])])])])]) ).

fof(i_0_1394,plain,
    ! [X4480,X4481] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4481)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X4481,X4480)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__one__le__power])]) ).

fof(i_0_1395,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r)
   => ? [X57] :
      ! [X5] :
        ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5),v_r)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X57)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X5))) ) ),
    inference(fof_simplification,[status(thm)],[fact_calculation]) ).

fof(i_0_1396,plain,
    ! [X4124,X4125] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X4125),c_Int_OBit0(X4124)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4125,X4124)),
    inference(variable_rename,[status(thm)],[fact_add__Bit0__Bit0]) ).

fof(i_0_1397,plain,
    ! [X2754,X2755] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit0(X2755),c_Int_OBit0(X2754)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2755,X2754)),
    inference(variable_rename,[status(thm)],[fact_diff__bin__simps_I7_J]) ).

fof(i_0_1398,plain,
    ! [X2630,X2631] :
      ( ( c_Int_OBit1(X2631) != c_Int_OBit1(X2630)
        | X2631 = X2630 )
      & ( X2631 != X2630
        | c_Int_OBit1(X2631) = c_Int_OBit1(X2630) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I51_J])]) ).

fof(i_0_1399,plain,
    ! [X4454,X4455,X4456] :
      ( ~ class_Rings_Olinordered__semidom(X4456)
      | ~ c_Orderings_Oord__class_Oless(X4456,c_Groups_Oone__class_Oone(X4456),X4455)
      | c_Orderings_Oord__class_Oless(X4456,c_Groups_Oone__class_Oone(X4456),c_Power_Opower__class_Opower(X4456,X4455,c_Nat_OSuc(X4454))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__gt1])]) ).

fof(i_0_1400,plain,
    ! [X3721,X3722] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3722),c_Nat_OSuc(X3721))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3722,X3721) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3722,X3721)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3722),c_Nat_OSuc(X3721)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__le__mono])]) ).

fof(i_0_1401,plain,
    ! [X3709,X3710] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X3710),c_Nat_OSuc(X3709))
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3710,X3709) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__less__SucD])]) ).

fof(i_0_1402,plain,
    ! [X3692,X3693] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X3693),c_Nat_OSuc(X3692))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3693,X3692) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3693,X3692)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X3693),c_Nat_OSuc(X3692)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__less__eq])]) ).

fof(i_0_1403,plain,
    ! [X4013] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4013)
      | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4013,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X4013 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__pred])]) ).

fof(i_0_1404,plain,
    ! [X4014,X4015] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4015)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4015,c_Nat_OSuc(X4014)),X4015) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__less])]) ).

fof(i_0_1405,plain,
    ! [X3128,X3129] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3129),c_Int_OBit0(X3128))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3129,X3128) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3129,X3128)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3129),c_Int_OBit0(X3128)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__int__code_I13_J])]) ).

fof(i_0_1406,plain,
    ! [X3126,X3127] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3127),c_Int_OBit0(X3126))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3127,X3126) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3127,X3126)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3127),c_Int_OBit0(X3126)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I31_J])]) ).

fof(i_0_1407,plain,
    ! [X2614,X2615] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X2615),c_Int_OBit0(X2614))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2615,X2614) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2615,X2614)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X2615),c_Int_OBit0(X2614)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I14_J])]) ).

fof(i_0_1408,plain,
    ! [X2612,X2613] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X2613),c_Int_OBit0(X2612))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2613,X2612) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2613,X2612)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X2613),c_Int_OBit0(X2612)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__int__code_I13_J])]) ).

fof(i_0_1409,plain,
    ! [X4566,X4567] :
      ( ( ~ c_Int_Oiszero(X4567,c_Int_Onumber__class_Onumber__of(X4567,c_Int_OBit0(X4566)))
        | c_Int_Oiszero(X4567,c_Int_Onumber__class_Onumber__of(X4567,X4566))
        | ~ class_Int_Onumber__ring(X4567)
        | ~ class_Int_Oring__char__0(X4567) )
      & ( ~ c_Int_Oiszero(X4567,c_Int_Onumber__class_Onumber__of(X4567,X4566))
        | c_Int_Oiszero(X4567,c_Int_Onumber__class_Onumber__of(X4567,c_Int_OBit0(X4566)))
        | ~ class_Int_Onumber__ring(X4567)
        | ~ class_Int_Oring__char__0(X4567) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_iszero__number__of__Bit0])])]) ).

fof(i_0_1410,plain,
    ! [X4313,X4314] :
      ( ( X4314 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4314,X4313) = X4313 )
      & ( X4314 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4314,X4313) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4314,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4313)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__if])]) ).

fof(i_0_1411,plain,
    ! [X2760] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X2760)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X2760)),
    inference(variable_rename,[status(thm)],[fact_diff__bin__simps_I3_J]) ).

fof(i_0_1412,plain,
    ! [X3922,X3923] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3923,X3922)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X3922),X3923) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3922,X3923)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__diff__le])]) ).

fof(i_0_1413,plain,
    ! [X3990,X3991] :
      ( ~ class_Int_Onumber__ring(X3991)
      | c_Int_Onumber__class_Onumber__of(X3991,c_Int_OBit0(X3990)) = c_Groups_Oplus__class_Oplus(X3991,c_Groups_Oplus__class_Oplus(X3991,c_Groups_Ozero__class_Ozero(X3991),c_Int_Onumber__class_Onumber__of(X3991,X3990)),c_Int_Onumber__class_Onumber__of(X3991,X3990)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_number__of__Bit0])]) ).

fof(i_0_1414,plain,
    ! [X4251,X4252] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4252,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4252,X4251))),
    inference(variable_rename,[status(thm)],[fact_less__add__Suc1]) ).

fof(i_0_1415,plain,
    ! [X4249,X4250] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4250,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4249,X4250))),
    inference(variable_rename,[status(thm)],[fact_less__add__Suc2]) ).

fof(i_0_1416,plain,
    ! [X3723,X3724] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3724,c_Nat_OSuc(X3723))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3724,X3723)
        | X3724 = c_Nat_OSuc(X3723) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3724,X3723)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3724,c_Nat_OSuc(X3723)) )
      & ( X3724 != c_Nat_OSuc(X3723)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3724,c_Nat_OSuc(X3723)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__Suc__eq])])]) ).

fof(i_0_1417,plain,
    ! [X3717,X3718] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3718,c_Nat_OSuc(X3717))
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3718,X3717)
      | X3718 = c_Nat_OSuc(X3717) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1270])]) ).

fof(i_0_1418,plain,
    ! [X3482,X3483] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3483,X3482)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X3483),c_Nat_OSuc(X3482)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mono])]) ).

fof(i_0_1419,plain,
    ! [X15,X33,X7] :
      ( ( class_Int_Onumber(X7)
        & class_Orderings_Olinorder(X7) )
     => ( c_Orderings_Oord__class_Oless__eq(X7,c_Int_Onumber__class_Onumber__of(X7,X33),c_Int_Onumber__class_Onumber__of(X7,X15))
      <=> ~ c_Orderings_Oord__class_Oless(X7,c_Int_Onumber__class_Onumber__of(X7,X15),c_Int_Onumber__class_Onumber__of(X7,X33)) ) ),
    inference(fof_simplification,[status(thm)],[fact_le__number__of__eq__not__less]) ).

fof(i_0_1420,plain,
    ! [X3808] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3808))
      | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3808) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3808),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_expand__Suc])]) ).

fof(i_0_1421,plain,
    ! [X3900,X3901,X3903,X3904,X3905] :
      ( ( X3901 = c_Nat_OSuc(esk32_2(X3900,X3901))
        | X3901 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3901,c_Nat_OSuc(X3900)) )
      & ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(X3900,X3901),X3900)
        | X3901 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3901,c_Nat_OSuc(X3900)) )
      & ( X3904 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3904,c_Nat_OSuc(X3903)) )
      & ( X3904 != c_Nat_OSuc(X3905)
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3905,X3903)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3904,c_Nat_OSuc(X3903)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq__0__disj])])])])])]) ).

fof(i_0_1422,plain,
    ! [X3908,X3909] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3908,c_Nat_OSuc(X3909))
        | X3908 = X3909
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3909,X3908) )
      & ( X3908 != X3909
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3908,c_Nat_OSuc(X3909))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3909,X3908) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__less__Suc__eq])])]) ).

fof(i_0_1423,plain,
    ! [X3725,X3726] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3726,X3725)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3725),X3726) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3725),X3726)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3726,X3725) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1271])]) ).

fof(i_0_1424,plain,
    ! [X3688,X3689] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3689,X3688)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3688,c_Nat_OSuc(X3689)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3688,c_Nat_OSuc(X3689))
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3689,X3688) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1272])]) ).

fof(i_0_1425,plain,
    ! [X3457] :
      ( ~ class_Int_Onumber__ring(X3457)
      | c_Int_Onumber__class_Onumber__of(X3457,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X3457) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_numeral__1__eq__1])]) ).

fof(i_0_1426,plain,
    ! [X3458] :
      ( ~ class_Int_Onumber__ring(X3458)
      | c_Groups_Oone__class_Oone(X3458) = c_Int_Onumber__class_Onumber__of(X3458,c_Int_OBit1(c_Int_OPls)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_semiring__norm_I110_J])]) ).

fof(i_0_1427,plain,
    ! [X2654,X2655] : c_Int_OBit0(X2655) != c_Int_OBit1(X2654),
    inference(variable_rename,[status(thm)],[fact_rel__simps_I49_J]) ).

fof(i_0_1428,plain,
    ! [X2652,X2653] : c_Int_OBit1(X2653) != c_Int_OBit0(X2652),
    inference(variable_rename,[status(thm)],[fact_rel__simps_I50_J]) ).

fof(i_0_1429,plain,
    ! [X5030,X5031,X5032] :
      ( ~ class_Groups_Omonoid__mult(X5032)
      | c_Power_Opower__class_Opower(X5032,X5031,c_Nat_OSuc(X5030)) = c_Groups_Otimes__class_Otimes(X5032,c_Power_Opower__class_Opower(X5032,X5031,X5030),X5031) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc2])]) ).

fof(i_0_1430,plain,
    ! [X5033,X5034,X5035] :
      ( ~ class_Power_Opower(X5035)
      | c_Power_Opower__class_Opower(X5035,X5034,c_Nat_OSuc(X5033)) = c_Groups_Otimes__class_Otimes(X5035,X5034,c_Power_Opower__class_Opower(X5035,X5034,X5033)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc])]) ).

fof(i_0_1431,plain,
    ! [X4980,X4981,X4982] :
      ( ~ class_Rings_Ocomm__semiring__1(X4982)
      | c_Power_Opower__class_Opower(X4982,X4981,c_Nat_OSuc(X4980)) = c_Groups_Otimes__class_Otimes(X4982,X4981,c_Power_Opower__class_Opower(X4982,X4981,X4980)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J])]) ).

fof(i_0_1432,plain,
    ! [X4986,X4987,X4988] :
      ( ~ class_Rings_Ocomm__semiring__1(X4988)
      | c_Groups_Otimes__class_Otimes(X4988,c_Power_Opower__class_Opower(X4988,X4987,X4986),X4987) = c_Power_Opower__class_Opower(X4988,X4987,c_Nat_OSuc(X4986)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J])]) ).

fof(i_0_1433,plain,
    ! [X4983,X4984,X4985] :
      ( ~ class_Rings_Ocomm__semiring__1(X4985)
      | c_Groups_Otimes__class_Otimes(X4985,X4984,c_Power_Opower__class_Opower(X4985,X4984,X4983)) = c_Power_Opower__class_Opower(X4985,X4984,c_Nat_OSuc(X4983)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J])]) ).

fof(i_0_1434,plain,
    ! [X3702,X3703,X3704] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3704,X3703)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3703,X3702)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X3704),X3702) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__trans__Suc])]) ).

fof(i_0_1435,plain,
    ! [X9] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X9),
    inference(fof_simplification,[status(thm)],[fact_abs__add__one__not__less__self]) ).

fof(i_0_1436,plain,
    ! [X3728,X3729] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X3729),c_Nat_OSuc(X3728)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3729,X3728),
    inference(variable_rename,[status(thm)],[fact_diff__Suc__Suc]) ).

fof(i_0_1437,plain,
    ! [X4103,X4104] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X4104),X4103) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4104,c_Nat_OSuc(X4103)),
    inference(variable_rename,[status(thm)],[fact_add__Suc__shift]) ).

fof(i_0_1438,plain,
    ! [X3489,X3490] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3490,c_Nat_OSuc(X3489)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3490,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3489),
    inference(variable_rename,[status(thm)],[fact_diff__Suc__eq__diff__pred]) ).

fof(i_0_1439,plain,
    ! [X4101,X4102] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X4102),X4101) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4102,X4101)),
    inference(variable_rename,[status(thm)],[fact_add__Suc]) ).

fof(i_0_1440,plain,
    ! [X4099,X4100] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4100,c_Nat_OSuc(X4099)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4100,X4099)),
    inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).

fof(i_0_1441,plain,
    ! [X74,X22] :
      ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X22,c_Int_OPls)
       => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X74)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X74) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X22,c_Int_OPls)
       => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X74,c_Int_OPls)
           => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X74)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22) )
          & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X74,c_Int_OPls)
           => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X22),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X74)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,X74)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_add__nat__number__of]) ).

fof(i_0_1442,plain,
    ! [X3705,X3706] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3706,c_Nat_OSuc(X3705))
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3706,X3705)
      | X3706 = X3705 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1273])]) ).

fof(i_0_1443,plain,
    ! [X3696,X3697] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3697,X3696)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3697,c_Nat_OSuc(X3696))
      | X3696 = X3697 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1274])]) ).

fof(i_0_1444,plain,
    ! [X3694,X3695] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3695,c_Nat_OSuc(X3694))
        | X3695 = X3694
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3695,X3694) )
      & ( X3695 != X3694
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3695,c_Nat_OSuc(X3694))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3695,X3694) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1275])])]) ).

fof(i_0_1445,plain,
    ! [X3690,X3691] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3691,c_Nat_OSuc(X3690))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3691,X3690)
        | X3691 = X3690 )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3691,X3690)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3691,c_Nat_OSuc(X3690)) )
      & ( X3691 != X3690
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3691,c_Nat_OSuc(X3690)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq])])]) ).

fof(i_0_1446,plain,
    ! [X3715,X3716] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3716),X3715)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3716,X3715) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__leD])]) ).

fof(i_0_1447,plain,
    ! [X3918,X3919] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3919,X3918)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3919),X3918) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3919),X3918)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3919,X3918) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__Suc__le])]) ).

fof(i_0_1448,plain,
    ! [X3914,X3915] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3915),X3914)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3915,X3914) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3915,X3914)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3915),X3914) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__le__eq])]) ).

fof(i_0_1449,plain,
    ! [X3906,X3907] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3907),X3906)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3907,X3906) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__le__lessD])]) ).

fof(i_0_1450,plain,
    ! [X3707,X3708] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X3708),X3707)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3708,X3707) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__lessD])]) ).

fof(i_0_1451,plain,
    ! [X3916,X3917] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3917,c_Nat_OSuc(X3916))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3917,X3916) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3917,X3916)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3917,c_Nat_OSuc(X3916)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq__le])]) ).

fof(i_0_1452,plain,
    ! [X2605] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X2605),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2605,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2605,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X2605),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bin__less__0__simps_I3_J])]) ).

fof(i_0_1453,plain,
    ! [X4243,X4244,X4246,X4247,X4248] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4244,X4243)
        | X4243 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4244,esk39_2(X4243,X4244))) )
      & ( X4246 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4247,X4248))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4247,X4246) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__iff__Suc__add])])])])]) ).

fof(i_0_1454,plain,
    ! [X3700,X3701] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3701,X3700)
      | c_Nat_OSuc(X3701) = X3700
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X3701),X3700) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__lessI])]) ).

fof(i_0_1455,plain,
    ! [X34,X16,X43] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X16),X34)
     => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X43,X34)
         => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X34) ) ),
    inference(fof_simplification,[status(thm)],[fact_add__leE]) ).

fof(i_0_1456,plain,
    ! [X3652] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3652))),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc__gt__zero]) ).

fof(i_0_1457,plain,
    ! [X4235,X4236] :
      ( ( X4236 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4236 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4236,X4235) )
      & ( X4235 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4236 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4236,X4235) )
      & ( X4236 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4235 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4236,X4235) )
      & ( X4235 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4235 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4236,X4235) )
      & ( X4236 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4235 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4236,X4235) )
      & ( X4236 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4235 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4236,X4235) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__is__add])])]) ).

fof(i_0_1458,plain,
    ! [X4237,X4238] :
      ( ( X4238 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4238 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4238,X4237) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4237 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4238 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4238,X4237) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4238 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4237 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4238,X4237) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4237 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4237 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4238,X4237) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4238 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4237 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4238,X4237) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4238 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4237 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4238,X4237) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__is__1])])]) ).

fof(i_0_1459,plain,
    ! [X3143] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X3143))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X3143) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X3143)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X3143)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I21_J])]) ).

fof(i_0_1460,plain,
    ! [X2623] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X2623))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2623) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2623)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X2623)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I4_J])]) ).

fof(i_0_1461,plain,
    ! [X3144] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3144),c_Int_OPls)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3144,c_Int_OPls) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3144,c_Int_OPls)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X3144),c_Int_OPls) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I27_J])]) ).

fof(i_0_1462,plain,
    ! [X2622] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X2622),c_Int_OPls)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2622,c_Int_OPls) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2622,c_Int_OPls)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X2622),c_Int_OPls) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I10_J])]) ).

fof(i_0_1463,plain,
    ! [X1,X2,X7,X53] :
      ( class_Orderings_Oord(X53)
     => ( c_Orderings_Oord__class_Oless(tc_fun(X7,X53),X2,X1)
      <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X7,X53),X2,X1)
          & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X7,X53),X1,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_less__fun__def]) ).

fof(i_0_1464,plain,
    ! [X10,X7] :
      ( class_Rings_Olinordered__ring(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Groups_Otimes__class_Otimes(X7,X10,X10),c_Groups_Ozero__class_Ozero(X7)) ),
    inference(fof_simplification,[status(thm)],[fact_not__square__less__zero]) ).

fof(i_0_1465,plain,
    ! [X3899] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3899,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | X3899 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3899 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3899,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc0])]) ).

fof(i_0_1466,plain,
    ! [X3920,X3921] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3921,X3920),c_Nat_OSuc(X3921)),
    inference(variable_rename,[status(thm)],[fact_diff__less__Suc]) ).

fof(i_0_1467,plain,
    ! [X32,X33] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X33),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X32))
    <=> ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X33,X32)
       => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X33,c_Int_OPls) ) ),
    inference(fof_simplification,[status(thm)],[fact_le__nat__number__of]) ).

fof(i_0_1468,plain,
    ! [X13] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X13,X13))
    <=> X13 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[fact_not__real__square__gt__zero]) ).

fof(i_0_1469,plain,
    ! [X3727] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3727),X3727),
    inference(variable_rename,[status(thm)],[i_0_1276]) ).

fof(i_0_1470,plain,
    ! [X2650] : c_Int_OBit1(X2650) != c_Int_OPls,
    inference(variable_rename,[status(thm)],[fact_rel__simps_I46_J]) ).

fof(i_0_1471,plain,
    ! [X2651] : c_Int_OPls != c_Int_OBit1(X2651),
    inference(variable_rename,[status(thm)],[fact_rel__simps_I39_J]) ).

fof(i_0_1472,plain,
    ! [X3750] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3750)
      | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3750,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X3750 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__diff__1])]) ).

fof(i_0_1473,plain,
    ! [X3749] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3749)
      | X3749 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3749,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__pred_H])]) ).

fof(i_0_1474,plain,
    ! [X3910,X3911] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3911,X3910)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X3911),X3910) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__leI])]) ).

fof(i_0_1475,plain,
    ! [X3719,X3720] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3720,X3719)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3720,c_Nat_OSuc(X3719)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__SucI])]) ).

fof(i_0_1476,plain,
    ! [X3912,X3913] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3913,X3912)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3913,c_Nat_OSuc(X3912)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__less__Suc])]) ).

fof(i_0_1477,plain,
    ! [X3698,X3699] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3699,X3698)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3699,c_Nat_OSuc(X3698)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__SucI])]) ).

fof(i_0_1478,plain,
    ! [X44,X28] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,X44),X28),
    inference(fof_simplification,[status(thm)],[fact_not__add__less1]) ).

fof(i_0_1479,plain,
    ! [X28,X44] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X44,X28),X28),
    inference(fof_simplification,[status(thm)],[fact_not__add__less2]) ).

fof(i_0_1480,plain,
    ! [X4427,X4428] :
      ( ( c_Power_Opower__class_Opower(tc_Nat_Onat,X4428,X4427) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4427 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4428 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4427 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Power_Opower__class_Opower(tc_Nat_Onat,X4428,X4427) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4428 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Power_Opower__class_Opower(tc_Nat_Onat,X4428,X4427) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__power__eq__Suc__0__iff])])]) ).

fof(i_0_1481,plain,
    ! [X9,X7] :
      ( ( class_Int_Onumber__ring(X7)
        & class_Rings_Olinordered__idom(X7) )
     => ( ( c_Orderings_Oord__class_Oless(X7,c_Int_Onumber__class_Onumber__of(X7,X9),c_Groups_Ozero__class_Ozero(X7))
         => c_Groups_Oabs__class_Oabs(X7,c_Int_Onumber__class_Onumber__of(X7,X9)) = c_Groups_Ouminus__class_Ouminus(X7,c_Int_Onumber__class_Onumber__of(X7,X9)) )
        & ( ~ c_Orderings_Oord__class_Oless(X7,c_Int_Onumber__class_Onumber__of(X7,X9),c_Groups_Ozero__class_Ozero(X7))
         => c_Groups_Oabs__class_Oabs(X7,c_Int_Onumber__class_Onumber__of(X7,X9)) = c_Int_Onumber__class_Onumber__of(X7,X9) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_abs__number__of]) ).

fof(i_0_1482,plain,
    ! [X4429] : c_Power_Opower__class_Opower(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4429) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[fact_power__Suc__0]) ).

fof(i_0_1483,plain,
    ! [X2607] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(X2607)) = c_Int_OBit0(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2607)),
    inference(variable_rename,[status(thm)],[fact_minus__Bit0]) ).

fof(i_0_1484,plain,
    ! [X34,X43] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X34)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X43,X34)) = X43 ),
    inference(fof_simplification,[status(thm)],[fact_add__diff__inverse]) ).

fof(i_0_1485,plain,
    ! [X21,X13,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X13,X21)
      <=> ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
          & ~ c_Orderings_Oord__class_Oless__eq(X7,X21,X13) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_less__le__not__le]) ).

fof(i_0_1486,plain,
    ! [X3487] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3487)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3487),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc]) ).

fof(i_0_1487,plain,
    ! [X4412,X4413] :
      ( ~ class_Power_Opower(X4413)
      | ~ class_Rings_Osemiring__0(X4413)
      | c_Power_Opower__class_Opower(X4413,c_Groups_Ozero__class_Ozero(X4413),c_Nat_OSuc(X4412)) = c_Groups_Ozero__class_Ozero(X4413) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0__Suc])]) ).

fof(i_0_1488,plain,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
       => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
        <=> X13 = X21 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__antisym__conv2]) ).

fof(i_0_1489,plain,
    ! [X10,X12,X7] :
      ( class_Orderings_Oorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X12,X10)
       => ~ c_Orderings_Oord__class_Oless(X7,X10,X12) ) ),
    inference(fof_simplification,[status(thm)],[fact_xt1_I9_J]) ).

fof(i_0_1490,plain,
    ! [X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ~ c_Orderings_Oord__class_Oless(X7,X14,X9) ) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__asym]) ).

fof(i_0_1491,plain,
    ! [X12,X10,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X10,X12)
       => ~ c_Orderings_Oord__class_Oless(X7,X12,X10) ) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__asym_H]) ).

fof(i_0_1492,plain,
    ! [X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ~ c_Orderings_Oord__class_Oless(X7,X14,X9) ) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__imp__not__less]) ).

fof(i_0_1493,plain,
    ! [X14,X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ( c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ~ c_Orderings_Oord__class_Oless(X7,X14,X9) ) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__not__sym]) ).

fof(i_0_1494,plain,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
      <=> c_Orderings_Oord__class_Oless(X7,X21,X13) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__not__le]) ).

fof(i_0_1495,plain,
    ! [X9,X14,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( c_Orderings_Oord__class_Oless__eq(X7,X14,X9)
       => ~ c_Orderings_Oord__class_Oless(X7,X9,X14) ) ),
    inference(fof_simplification,[status(thm)],[fact_leD]) ).

fof(i_0_1496,plain,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
      <=> c_Orderings_Oord__class_Oless__eq(X7,X21,X13) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__not__less]) ).

fof(i_0_1497,plain,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
      <=> ( c_Orderings_Oord__class_Oless(X7,X21,X13)
          | X13 = X21 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_not__less__iff__gr__or__eq]) ).

fof(i_0_1498,plain,
    ! [X3521,X3522] :
      ( c_Nat_OSuc(X3522) != c_Nat_OSuc(X3521)
      | X3522 = X3521 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__inject])]) ).

fof(i_0_1499,plain,
    ! [X3511,X3512] :
      ( ( c_Nat_OSuc(X3512) != c_Nat_OSuc(X3511)
        | X3512 = X3511 )
      & ( X3512 != X3511
        | c_Nat_OSuc(X3512) = c_Nat_OSuc(X3511) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat_Oinject])]) ).

fof(i_0_1500,plain,
    ! [X9,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X7),X9,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)))
         => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(X7),X9) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X7),X9) )
        & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X7),X9,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)))
         => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(X7),X9) = X9 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_abs__poly__def]) ).

fof(i_0_1501,plain,
    ! [X2632,X2633] :
      ( ( c_Int_OBit0(X2633) != c_Int_OBit0(X2632)
        | X2633 = X2632 )
      & ( X2633 != X2632
        | c_Int_OBit0(X2633) = c_Int_OBit0(X2632) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I48_J])]) ).

fof(i_0_1502,plain,
    ! [X3488] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X3488),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X3488,
    inference(variable_rename,[status(thm)],[fact_diff__Suc__1]) ).

fof(i_0_1503,plain,
    ! [X3484] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X3484)),
    inference(variable_rename,[status(thm)],[fact_zero__less__Suc]) ).

fof(i_0_1504,plain,
    ! [X3481] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3481,c_Nat_OSuc(X3481)),
    inference(variable_rename,[status(thm)],[fact_lessI]) ).

fof(i_0_1505,plain,
    ! [X3895,X3897,X3898] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3895)
        | X3895 = c_Nat_OSuc(esk31_1(X3895)) )
      & ( X3897 != c_Nat_OSuc(X3898)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3897) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr0__conv__Suc])])])])]) ).

fof(i_0_1506,plain,
    ! [X9,X14] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14,X9)
       => c_Nat__Transfer_Otsub(X9,X14) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X9,X14) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14,X9)
       => c_Nat__Transfer_Otsub(X9,X14) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
    inference(fof_simplification,[status(thm)],[fact_tsub__def]) ).

fof(i_0_1507,plain,
    ! [X21,X13,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
       => ( c_Orderings_Oord__class_Oless__eq(X7,X13,X21)
        <=> X13 = X21 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__antisym__conv1]) ).

fof(i_0_1508,plain,
    ! [X10,X7] :
      ( class_Groups_Oordered__ab__group__add__abs(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Groups_Oabs__class_Oabs(X7,X10),c_Groups_Ozero__class_Ozero(X7)) ),
    inference(fof_simplification,[status(thm)],[fact_abs__not__less__zero]) ).

fof(i_0_1509,plain,
    ! [X9,X7] :
      ( class_RealVector_Oreal__normed__vector(X7)
     => ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X9),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(fof_simplification,[status(thm)],[fact_norm__not__less__zero]) ).

fof(i_0_1510,plain,
    ! [X10,X7] :
      ( class_Groups_Oabs__if(X7)
     => ( ( c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Ozero__class_Ozero(X7))
         => c_Groups_Oabs__class_Oabs(X7,X10) = c_Groups_Ouminus__class_Ouminus(X7,X10) )
        & ( ~ c_Orderings_Oord__class_Oless(X7,X10,c_Groups_Ozero__class_Ozero(X7))
         => c_Groups_Oabs__class_Oabs(X7,X10) = X10 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_abs__if]) ).

fof(i_0_1511,plain,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X34),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(fof_simplification,[status(thm)],[fact_not__real__of__nat__less__zero]) ).

fof(i_0_1512,plain,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X9,X14)
       => ( X9 != X14
         => c_Orderings_Oord__class_Oless(X7,X14,X9) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__cases]) ).

fof(i_0_1513,plain,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( X9 != X14
       => ( ~ c_Orderings_Oord__class_Oless(X7,X9,X14)
         => c_Orderings_Oord__class_Oless(X7,X14,X9) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__neqE]) ).

fof(i_0_1514,plain,
    ! [X13,X21,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X21,X13)
       => ( ~ c_Orderings_Oord__class_Oless(X7,X13,X21)
        <=> X13 = X21 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__antisym__conv3]) ).

fof(i_0_1515,plain,
    ! [X14,X9,X7] :
      ( class_Rings_Olinordered__idom(X7)
     => ( X9 != X14
       => ( ~ c_Orderings_Oord__class_Oless(X7,X9,X14)
         => c_Orderings_Oord__class_Oless(X7,X14,X9) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__neqE__linordered__idom]) ).

fof(i_0_1516,plain,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X7,X9,X14)
       => c_Orderings_Oord__class_Oless__eq(X7,X14,X9) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__le__cases]) ).

fof(i_0_1517,plain,
    ! [X14,X9,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless(X7,X9,X14)
       => c_Orderings_Oord__class_Oless__eq(X7,X14,X9) ) ),
    inference(fof_simplification,[status(thm)],[fact_leI]) ).

fof(i_0_1518,plain,
    ! [X9,X14,X7] :
      ( class_Orderings_Olinorder(X7)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X7,X14,X9)
       => c_Orderings_Oord__class_Oless(X7,X9,X14) ) ),
    inference(fof_simplification,[status(thm)],[fact_not__leE]) ).

fof(i_0_1519,plain,
    ! [X28] :
      ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X28,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
       => c_Groups_Oabs__class_Oabs(tc_Int_Oint,X28) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X28) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X28,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
       => c_Groups_Oabs__class_Oabs(tc_Int_Oint,X28) = X28 ) ),
    inference(fof_simplification,[status(thm)],[fact_zabs__def]) ).

fof(i_0_1520,plain,
    ! [X8] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X8,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X8) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X8) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X8,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X8) = X8 ) ),
    inference(fof_simplification,[status(thm)],[fact_real__abs__def]) ).

fof(i_0_1521,plain,
    ! [X10] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X10) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X10) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X10) = X10 ) ),
    inference(fof_simplification,[status(thm)],[fact_abs__real__def]) ).

fof(i_0_1522,plain,
    ! [X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ~ c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Ozero__class_Ozero(X7)) ),
    inference(fof_simplification,[status(thm)],[fact_not__one__le__zero]) ).

fof(i_0_1523,plain,
    ! [X7] :
      ( class_Rings_Olinordered__semidom(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Ozero__class_Ozero(X7)) ),
    inference(fof_simplification,[status(thm)],[fact_not__one__less__zero]) ).

fof(i_0_1524,plain,
    ! [X4090] : c_Nat_OSuc(X4090) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X4090),
    inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1__left]) ).

fof(i_0_1525,plain,
    ! [X14,X9] :
      ( X9 != X14
     => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X9,X14)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14,X9) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__neqE__nat]) ).

fof(i_0_1526,plain,
    ! [X9,X7] :
      ( class_Orderings_Opreorder(X7)
     => ~ c_Orderings_Oord__class_Oless(X7,X9,X9) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__irrefl]) ).

fof(i_0_1527,plain,
    ! [X3676] : c_Nat_OSuc(X3676) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_Suc__neq__Zero]) ).

fof(i_0_1528,plain,
    ! [X3674] : c_Nat_OSuc(X3674) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_nat_Osimps_I3_J]) ).

fof(i_0_1529,plain,
    ! [X3673] : c_Nat_OSuc(X3673) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_Suc__not__Zero]) ).

fof(i_0_1530,plain,
    ! [X3675] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X3675),
    inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).

fof(i_0_1531,plain,
    ! [X3672] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X3672),
    inference(variable_rename,[status(thm)],[fact_nat_Osimps_I2_J]) ).

fof(i_0_1532,plain,
    ! [X3671] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X3671),
    inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).

fof(i_0_1533,plain,
    ! [X3510] : c_Nat_OSuc(X3510) != X3510,
    inference(variable_rename,[status(thm)],[fact_Suc__n__not__n]) ).

fof(i_0_1534,plain,
    ! [X3509] : X3509 != c_Nat_OSuc(X3509),
    inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).

fof(i_0_1535,plain,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(fof_simplification,[status(thm)],[fact_less__nat__zero__code]) ).

fof(i_0_1536,plain,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(fof_simplification,[status(thm)],[fact_not__less0]) ).

fof(i_0_1537,plain,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(fof_simplification,[status(thm)],[fact_less__zeroE]) ).

fof(i_0_1538,plain,
    ! [X2657] :
      ( ( c_Int_OPls != c_Int_OBit0(X2657)
        | c_Int_OPls = X2657 )
      & ( c_Int_OPls != X2657
        | c_Int_OPls = c_Int_OBit0(X2657) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I38_J])]) ).

fof(i_0_1539,plain,
    ! [X2656] :
      ( ( c_Int_OBit0(X2656) != c_Int_OPls
        | X2656 = c_Int_OPls )
      & ( X2656 != c_Int_OPls
        | c_Int_OBit0(X2656) = c_Int_OPls ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I44_J])]) ).

fof(i_0_1540,plain,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,X34),
    inference(fof_simplification,[status(thm)],[fact_less__not__refl]) ).

fof(i_0_1541,plain,
    ! [X34] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X34,X34),
    inference(fof_simplification,[status(thm)],[fact_less__irrefl__nat]) ).

fof(i_0_1542,plain,
    ! [X7] :
      ( class_Rings_Osemiring__1(X7)
     => ~ c_Int_Oiszero(X7,c_Groups_Oone__class_Oone(X7)) ),
    inference(fof_simplification,[status(thm)],[fact_not__iszero__1]) ).

cnf(i_0_1543,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
    inference(split_conjunct,[status(thm)],[i_0_1277]) ).

cnf(i_0_1544,plain,
    c_Int_OBit0(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_1278]) ).

cnf(i_0_1545,plain,
    c_Int_OBit1(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),
    inference(split_conjunct,[status(thm)],[i_0_1279]) ).

cnf(i_0_1546,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[i_0_1280]) ).

cnf(i_0_1547,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),
    inference(split_conjunct,[status(thm)],[i_0_1281]) ).

cnf(i_0_1548,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ),
    inference(split_conjunct,[status(thm)],[i_0_1282]) ).

cnf(i_0_1549,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1283]) ).

cnf(i_0_1550,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(split_conjunct,[status(thm)],[i_0_1284]) ).

cnf(i_0_1551,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(split_conjunct,[status(thm)],[i_0_1285]) ).

cnf(i_0_1552,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(split_conjunct,[status(thm)],[i_0_1286]) ).

cnf(i_0_1553,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(split_conjunct,[status(thm)],[i_0_1287]) ).

cnf(i_0_1554,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),
    inference(split_conjunct,[status(thm)],[i_0_1288]) ).

cnf(i_0_1555,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | X3 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1289]) ).

cnf(i_0_1556,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1290]) ).

cnf(i_0_1557,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1290]) ).

cnf(i_0_1558,plain,
    ( ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1291]) ).

cnf(i_0_1559,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_1292]) ).

cnf(i_0_1560,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_1293]) ).

cnf(i_0_1561,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X2))
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1290]) ).

cnf(i_0_1562,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1289]) ).

cnf(i_0_1563,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1289]) ).

cnf(i_0_1564,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1294]) ).

cnf(i_0_1565,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1295]) ).

cnf(i_0_1566,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1296]) ).

cnf(i_0_1567,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1297]) ).

cnf(i_0_1568,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1297]) ).

cnf(i_0_1569,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1298]) ).

cnf(i_0_1570,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1298]) ).

cnf(i_0_1571,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(split_conjunct,[status(thm)],[i_0_1299]) ).

cnf(i_0_1572,hypothesis,
    ( v_thesis____
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(X1)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1300]) ).

cnf(i_0_1573,plain,
    ( c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1297]) ).

cnf(i_0_1574,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1298]) ).

cnf(i_0_1575,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X1,
    inference(split_conjunct,[status(thm)],[i_0_1301]) ).

cnf(i_0_1576,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1302]) ).

cnf(i_0_1577,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,v_z____)))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,v_z____)),esk2_0) ),
    inference(split_conjunct,[status(thm)],[i_0_1303]) ).

cnf(i_0_1578,plain,
    ( X2 = X3
    | ~ class_Rings_Olinordered__semidom(X1)
    | c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1304]) ).

cnf(i_0_1579,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1305]) ).

cnf(i_0_1580,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1306]) ).

cnf(i_0_1581,plain,
    ( ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1307]) ).

cnf(i_0_1582,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X1) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    inference(split_conjunct,[status(thm)],[i_0_1308]) ).

cnf(i_0_1583,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X2) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    inference(split_conjunct,[status(thm)],[i_0_1309]) ).

cnf(i_0_1584,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1310]) ).

cnf(i_0_1585,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(split_conjunct,[status(thm)],[fact_e2]) ).

cnf(i_0_1586,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1311]) ).

cnf(i_0_1587,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1312]) ).

cnf(i_0_1588,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X3)) = c_Groups_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1313]) ).

cnf(i_0_1589,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_1314]) ).

cnf(i_0_1590,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ class_Int_Onumber__ring(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1315]) ).

cnf(i_0_1591,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1305]) ).

cnf(i_0_1592,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1316]) ).

cnf(i_0_1593,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1317]) ).

cnf(i_0_1594,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1306]) ).

cnf(i_0_1595,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1)),
    inference(split_conjunct,[status(thm)],[i_0_1318]) ).

cnf(i_0_1596,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1319]) ).

cnf(i_0_1597,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1)),
    inference(split_conjunct,[status(thm)],[i_0_1320]) ).

cnf(i_0_1598,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1321]) ).

cnf(i_0_1599,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
    | ~ class_Rings_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1322]) ).

cnf(i_0_1600,plain,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
    inference(split_conjunct,[status(thm)],[i_0_1323]) ).

cnf(i_0_1601,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(split_conjunct,[status(thm)],[fact_real__sqrt__two__ge__zero]) ).

cnf(i_0_1602,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(split_conjunct,[status(thm)],[fact_real__sqrt__two__gt__one]) ).

cnf(i_0_1603,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(split_conjunct,[status(thm)],[fact_real__sqrt__two__gt__zero]) ).

cnf(i_0_1604,plain,
    c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),X1),
    inference(split_conjunct,[status(thm)],[i_0_1324]) ).

cnf(i_0_1605,plain,
    c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[i_0_1325]) ).

cnf(i_0_1606,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,X2) = c_Groups_Oone__class_Oone(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1326]) ).

cnf(i_0_1607,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),
    inference(split_conjunct,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J]) ).

cnf(i_0_1608,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | X1 = c_Groups_Oone__class_Oone(tc_Int_Oint)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1327]) ).

cnf(i_0_1609,plain,
    ( c_NthRoot_Osqrt(X2) = X1
    | c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1328]) ).

cnf(i_0_1610,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_1329]) ).

cnf(i_0_1611,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1330]) ).

cnf(i_0_1612,plain,
    ( X2 = c_Groups_Oone__class_Oone(X1)
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))
    | c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1331]) ).

cnf(i_0_1613,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1332]) ).

fof(i_0_1614,plain,
    ! [X3222,X3223,X3224,X3225,X3226] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3224,X3225),X3223,X3222)
        | c_Orderings_Oord__class_Oless__eq(X3225,hAPP(X3223,X3226),hAPP(X3222,X3226))
        | ~ class_Orderings_Oord(X3225) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3225,hAPP(X3223,esk9_4(X3222,X3223,X3224,X3225)),hAPP(X3222,esk9_4(X3222,X3223,X3224,X3225)))
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X3224,X3225),X3223,X3222)
        | ~ class_Orderings_Oord(X3225) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__fun__def])])])])]) ).

fof(i_0_1615,plain,
    ! [X4739,X4740,X4741] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X4741,X4740),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X4741,X4739),hAPP(X4741,X4740)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X4739,X4740)),X4740)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X4741,X4739),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X4741,X4739),hAPP(X4741,X4740)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X4739,X4740)),X4739)),
    inference(variable_rename,[status(thm)],[fact_lemma__MVT]) ).

cnf(i_0_1616,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1) = c_Nat_OSuc(c_Nat_OSuc(X1)),
    inference(split_conjunct,[status(thm)],[i_0_1333]) ).

cnf(i_0_1617,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Nat_OSuc(c_Nat_OSuc(X1)),
    inference(split_conjunct,[status(thm)],[i_0_1334]) ).

cnf(i_0_1618,plain,
    ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1335]) ).

cnf(i_0_1619,plain,
    ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1329]) ).

cnf(i_0_1620,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))))
    | c_Int_Onumber__class_Onumber__of(X1,X2) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1326]) ).

fof(i_0_1621,plain,
    ! [X4030,X4031,X4032,X4033] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4033,X4032),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4031),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4030)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4033,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4031))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4032,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4030))))),
    inference(variable_rename,[status(thm)],[fact_abs__sum__triangle__ineq]) ).

cnf(i_0_1622,plain,
    ( c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X2)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1331]) ).

cnf(i_0_1623,plain,
    ( c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X2)
    | X1 != c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1331]) ).

cnf(i_0_1624,plain,
    ( c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1332]) ).

cnf(i_0_1625,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1336]) ).

cnf(i_0_1626,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1337]) ).

cnf(i_0_1627,plain,
    c_Power_Opower__class_Opower(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X1,
    inference(split_conjunct,[status(thm)],[i_0_1338]) ).

cnf(i_0_1628,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    inference(split_conjunct,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J]) ).

cnf(i_0_1629,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
    inference(split_conjunct,[status(thm)],[fact_pos2]) ).

cnf(i_0_1630,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(split_conjunct,[status(thm)],[fact_numeral__3__eq__3]) ).

cnf(i_0_1631,plain,
    ( c_Groups_Oone__class_Oone(X1) = c_Int_Onumber__class_Onumber__of(X1,X2)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1339]) ).

fof(i_0_1632,plain,
    ! [X4657,X4658,X4659,X4660,X4661] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4661)
      | c_Groups_Ominus__class_Ominus(X4661,c_Groups_Otimes__class_Otimes(X4661,X4660,X4659),c_Groups_Otimes__class_Otimes(X4661,X4658,X4657)) = c_Groups_Oplus__class_Oplus(X4661,c_Groups_Oplus__class_Oplus(X4661,c_Groups_Otimes__class_Otimes(X4661,c_Groups_Ominus__class_Ominus(X4661,X4660,X4658),c_Groups_Ominus__class_Ominus(X4661,X4659,X4657)),c_Groups_Otimes__class_Otimes(X4661,c_Groups_Ominus__class_Ominus(X4661,X4660,X4658),X4657)),c_Groups_Otimes__class_Otimes(X4661,X4658,c_Groups_Ominus__class_Ominus(X4661,X4659,X4657))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oprod__diff__prod])]) ).

fof(i_0_1633,plain,
    ! [X4003,X4004,X4005,X4006,X4007] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X4007)
      | c_Orderings_Oord__class_Oless__eq(X4007,c_Groups_Oabs__class_Oabs(X4007,c_Groups_Ominus__class_Ominus(X4007,c_Groups_Oplus__class_Oplus(X4007,X4006,X4005),c_Groups_Oplus__class_Oplus(X4007,X4004,X4003))),c_Groups_Oplus__class_Oplus(X4007,c_Groups_Oabs__class_Oabs(X4007,c_Groups_Ominus__class_Ominus(X4007,X4006,X4004)),c_Groups_Oabs__class_Oabs(X4007,c_Groups_Ominus__class_Ominus(X4007,X4005,X4003)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__diff__triangle__ineq])]) ).

fof(i_0_1634,plain,
    ! [X3740,X3741,X3742,X3743,X3744] :
      ( ~ class_RealVector_Oreal__normed__vector(X3744)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3744,c_Groups_Ominus__class_Ominus(X3744,c_Groups_Oplus__class_Oplus(X3744,X3743,X3742),c_Groups_Oplus__class_Oplus(X3744,X3741,X3740))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3744,c_Groups_Ominus__class_Ominus(X3744,X3743,X3741)),c_RealVector_Onorm__class_Onorm(X3744,c_Groups_Ominus__class_Ominus(X3744,X3742,X3740)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__diff__triangle__ineq])]) ).

fof(i_0_1635,plain,
    ! [X3096,X3097,X3098,X3100] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X3096,X3097,X3098))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3098) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X3100,X3097)))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X3100,X3097)),esk6_3(X3096,X3097,X3098))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3096),X3100),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3096),X3097))),X3098)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3098) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__cont])])])])]) ).

cnf(i_0_1636,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X2),X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls))))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1340]) ).

cnf(i_0_1637,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))))
    | c_Groups_Oone__class_Oone(X1) != c_Int_Onumber__class_Onumber__of(X1,X2)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1339]) ).

cnf(i_0_1638,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(esk35_0,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))))),
    inference(split_conjunct,[status(thm)],[i_0_1341]) ).

cnf(i_0_1639,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk36_1(X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))))),
    inference(split_conjunct,[status(thm)],[i_0_1342]) ).

cnf(i_0_1640,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk34_1(X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))))),
    inference(split_conjunct,[status(thm)],[i_0_1343]) ).

cnf(i_0_1641,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))))),
    inference(split_conjunct,[status(thm)],[i_0_1344]) ).

cnf(i_0_1642,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(split_conjunct,[status(thm)],[fact_numeral__2__eq__2]) ).

cnf(i_0_1643,plain,
    c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
    inference(split_conjunct,[status(thm)],[fact_semiring__norm_I115_J]) ).

cnf(i_0_1644,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls))))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1345]) ).

cnf(i_0_1645,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,X4)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk28_2(X3,X2))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,esk27_3(X3,X2,X1))),X1)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1346]) ).

cnf(i_0_1646,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,X4)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk24_2(X3,X2))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,esk23_3(X3,X2,X1))),X1)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1347]) ).

cnf(i_0_1647,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1348]) ).

cnf(i_0_1648,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
    inference(split_conjunct,[status(thm)],[fact_nat__1__add__1]) ).

cnf(i_0_1649,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),esk30_2(X2,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk29_3(X2,X1,X4))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1346]) ).

cnf(i_0_1650,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),esk26_2(X2,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk25_3(X2,X1,X4))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1347]) ).

fof(i_0_1651,plain,
    ! [X3414,X3415,X3416] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3415),v_r)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3415)))),X3414)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X3414) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk14_1(X3416)),v_r)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X3416) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk14_1(X3416))))),X3416)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X3416) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096])])])])])]) ).

cnf(i_0_1652,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk30_2(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk29_3(X1,X2,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3)))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1346]) ).

cnf(i_0_1653,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk26_2(X1,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk25_3(X1,X2,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3)))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1347]) ).

cnf(i_0_1654,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3)),c_Power_Opower__class_Opower(X1,X4,c_Nat_OSuc(X3)))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1349]) ).

cnf(i_0_1655,plain,
    ( X2 = X3
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,X3)
    | c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != c_Power_Opower__class_Opower(X1,X3,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1350]) ).

cnf(i_0_1656,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1351]) ).

cnf(i_0_1657,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1352]) ).

cnf(i_0_1658,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1353]) ).

cnf(i_0_1659,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1354]) ).

cnf(i_0_1660,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1355]) ).

cnf(i_0_1661,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(c_Int_OPls))) ),
    inference(split_conjunct,[status(thm)],[i_0_1356]) ).

fof(i_0_1662,plain,
    ! [X4652,X4653,X4654,X4655,X4656] :
      ( ~ class_Rings_Oring(X4656)
      | c_Groups_Ominus__class_Ominus(X4656,c_Groups_Otimes__class_Otimes(X4656,X4655,X4654),c_Groups_Otimes__class_Otimes(X4656,X4653,X4652)) = c_Groups_Oplus__class_Oplus(X4656,c_Groups_Otimes__class_Otimes(X4656,X4655,c_Groups_Ominus__class_Ominus(X4656,X4654,X4652)),c_Groups_Otimes__class_Otimes(X4656,c_Groups_Ominus__class_Ominus(X4656,X4655,X4653),X4652)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__diff__mult])]) ).

cnf(i_0_1663,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X2)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1357]) ).

cnf(i_0_1664,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1358]) ).

cnf(i_0_1665,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1359]) ).

cnf(i_0_1666,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit1(X2)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1360]) ).

fof(i_0_1667,plain,
    ! [X4668,X4669,X4670,X4671,X4672,X4673] :
      ( ( c_Groups_Oplus__class_Oplus(X4673,c_Groups_Otimes__class_Otimes(X4673,X4672,X4671),X4670) != c_Groups_Oplus__class_Oplus(X4673,c_Groups_Otimes__class_Otimes(X4673,X4669,X4671),X4668)
        | c_Groups_Oplus__class_Oplus(X4673,c_Groups_Otimes__class_Otimes(X4673,c_Groups_Ominus__class_Ominus(X4673,X4672,X4669),X4671),X4670) = X4668
        | ~ class_Rings_Oring(X4673) )
      & ( c_Groups_Oplus__class_Oplus(X4673,c_Groups_Otimes__class_Otimes(X4673,c_Groups_Ominus__class_Ominus(X4673,X4672,X4669),X4671),X4670) != X4668
        | c_Groups_Oplus__class_Oplus(X4673,c_Groups_Otimes__class_Otimes(X4673,X4672,X4671),X4670) = c_Groups_Oplus__class_Oplus(X4673,c_Groups_Otimes__class_Otimes(X4673,X4669,X4671),X4668)
        | ~ class_Rings_Oring(X4673) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__add__iff1])])]) ).

fof(i_0_1668,plain,
    ! [X4662,X4663,X4664,X4665,X4666,X4667] :
      ( ( c_Groups_Oplus__class_Oplus(X4667,c_Groups_Otimes__class_Otimes(X4667,X4666,X4665),X4664) != c_Groups_Oplus__class_Oplus(X4667,c_Groups_Otimes__class_Otimes(X4667,X4663,X4665),X4662)
        | X4664 = c_Groups_Oplus__class_Oplus(X4667,c_Groups_Otimes__class_Otimes(X4667,c_Groups_Ominus__class_Ominus(X4667,X4663,X4666),X4665),X4662)
        | ~ class_Rings_Oring(X4667) )
      & ( X4664 != c_Groups_Oplus__class_Oplus(X4667,c_Groups_Otimes__class_Otimes(X4667,c_Groups_Ominus__class_Ominus(X4667,X4663,X4666),X4665),X4662)
        | c_Groups_Oplus__class_Oplus(X4667,c_Groups_Otimes__class_Otimes(X4667,X4666,X4665),X4664) = c_Groups_Oplus__class_Oplus(X4667,c_Groups_Otimes__class_Otimes(X4667,X4663,X4665),X4662)
        | ~ class_Rings_Oring(X4667) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__add__iff2])])]) ).

cnf(i_0_1669,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1361]) ).

fof(i_0_1670,plain,
    ! [X4602,X4603,X4604,X4605,X4606] :
      ( ~ class_Rings_Osemiring(X4606)
      | c_Groups_Oplus__class_Oplus(X4606,c_Groups_Otimes__class_Otimes(X4606,X4605,X4604),c_Groups_Oplus__class_Oplus(X4606,c_Groups_Otimes__class_Otimes(X4606,X4603,X4604),X4602)) = c_Groups_Oplus__class_Oplus(X4606,c_Groups_Otimes__class_Otimes(X4606,c_Groups_Oplus__class_Oplus(X4606,X4605,X4603),X4604),X4602) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_combine__common__factor])]) ).

cnf(i_0_1671,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(X1)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1362]) ).

cnf(i_0_1672,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Int_OBit1(c_Int_OPls)))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1363]) ).

cnf(i_0_1673,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X2))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1364]) ).

cnf(i_0_1674,plain,
    ( c_Power_Opower__class_Opower(X2,X1,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Power_Opower__class_Opower(X2,X3,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Rings_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1350]) ).

fof(i_0_1675,plain,
    ! [X4457,X4458,X4459,X4460] :
      ( ( c_Orderings_Oord__class_Oless(X4460,c_Groups_Ominus__class_Ominus(X4460,X4458,X4457),X4459)
        | ~ c_Orderings_Oord__class_Oless(X4460,c_Groups_Oabs__class_Oabs(X4460,c_Groups_Ominus__class_Ominus(X4460,X4459,X4458)),X4457)
        | ~ class_Rings_Olinordered__idom(X4460) )
      & ( c_Orderings_Oord__class_Oless(X4460,X4459,c_Groups_Oplus__class_Oplus(X4460,X4458,X4457))
        | ~ c_Orderings_Oord__class_Oless(X4460,c_Groups_Oabs__class_Oabs(X4460,c_Groups_Ominus__class_Ominus(X4460,X4459,X4458)),X4457)
        | ~ class_Rings_Olinordered__idom(X4460) )
      & ( ~ c_Orderings_Oord__class_Oless(X4460,c_Groups_Ominus__class_Ominus(X4460,X4458,X4457),X4459)
        | ~ c_Orderings_Oord__class_Oless(X4460,X4459,c_Groups_Oplus__class_Oplus(X4460,X4458,X4457))
        | c_Orderings_Oord__class_Oless(X4460,c_Groups_Oabs__class_Oabs(X4460,c_Groups_Ominus__class_Ominus(X4460,X4459,X4458)),X4457)
        | ~ class_Rings_Olinordered__idom(X4460) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__diff__less__iff])])]) ).

cnf(i_0_1676,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1365]) ).

cnf(i_0_1677,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1366]) ).

cnf(i_0_1678,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1367]) ).

cnf(i_0_1679,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1368]) ).

cnf(i_0_1680,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1369]) ).

cnf(i_0_1681,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1370]) ).

cnf(i_0_1682,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1371]) ).

cnf(i_0_1683,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit1(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1372]) ).

cnf(i_0_1684,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1351]) ).

cnf(i_0_1685,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1352]) ).

cnf(i_0_1686,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1353]) ).

cnf(i_0_1687,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1354]) ).

fof(i_0_1688,plain,
    ! [X3008,X3009,X3010] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3010)
      | c_Orderings_Oord__class_Oless__eq(X3010,c_Groups_Oabs__class_Oabs(X3010,c_Groups_Ominus__class_Ominus(X3010,c_Groups_Oabs__class_Oabs(X3010,X3009),c_Groups_Oabs__class_Oabs(X3010,X3008))),c_Groups_Oabs__class_Oabs(X3010,c_Groups_Ominus__class_Ominus(X3010,X3009,X3008))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq3])]) ).

fof(i_0_1689,plain,
    ! [X3315,X3316,X3317] :
      ( ~ class_RealVector_Oreal__normed__vector(X3317)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3317,X3316),c_RealVector_Onorm__class_Onorm(X3317,X3315))),c_RealVector_Onorm__class_Onorm(X3317,c_Groups_Ominus__class_Ominus(X3317,X3316,X3315))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__triangle__ineq3])]) ).

fof(i_0_1690,plain,
    ! [X3995,X3996,X3997] :
      ( ~ class_Fields_Olinordered__field(X3997)
      | ~ c_Orderings_Oord__class_Oless(X3997,X3996,X3995)
      | c_Orderings_Oord__class_Oless(X3997,c_Rings_Oinverse__class_Odivide(X3997,c_Groups_Oplus__class_Oplus(X3997,X3996,X3995),c_Groups_Oplus__class_Oplus(X3997,c_Groups_Oone__class_Oone(X3997),c_Groups_Oone__class_Oone(X3997))),X3995) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gt__half__sum])]) ).

fof(i_0_1691,plain,
    ! [X3992,X3993,X3994] :
      ( ~ class_Fields_Olinordered__field(X3994)
      | ~ c_Orderings_Oord__class_Oless(X3994,X3993,X3992)
      | c_Orderings_Oord__class_Oless(X3994,X3993,c_Rings_Oinverse__class_Odivide(X3994,c_Groups_Oplus__class_Oplus(X3994,X3993,X3992),c_Groups_Oplus__class_Oplus(X3994,c_Groups_Oone__class_Oone(X3994),c_Groups_Oone__class_Oone(X3994)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__half__sum])]) ).

cnf(i_0_1692,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(c_Int_OPls))) = X2
    | ~ class_Fields_Ofield(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1373]) ).

cnf(i_0_1693,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(c_Int_OPls))) = X2
    | ~ class_Fields_Ofield(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1374]) ).

cnf(i_0_1694,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1375]) ).

cnf(i_0_1695,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1376]) ).

cnf(i_0_1696,plain,
    ( X2 = X4
    | ~ class_Rings_Olinordered__semidom(X1)
    | c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3)) != c_Power_Opower__class_Opower(X1,X4,c_Nat_OSuc(X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1377]) ).

fof(i_0_1697,plain,
    ! [X4339,X4340] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X4340,X4339)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4340)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4339)),
    inference(variable_rename,[status(thm)],[fact_complex__mod__triangle__ineq2]) ).

fof(i_0_1698,plain,
    ! [X4337,X4338] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4338),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X4338,X4337)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4337))),
    inference(variable_rename,[status(thm)],[fact_complex__mod__triangle__sub]) ).

cnf(i_0_1699,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1378]) ).

cnf(i_0_1700,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1379]) ).

cnf(i_0_1701,plain,
    ( c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OBit1(c_Int_OPls))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1380]) ).

cnf(i_0_1702,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1381]) ).

cnf(i_0_1703,plain,
    ( c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X1)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1382]) ).

fof(i_0_1704,plain,
    ! [X4323,X4324,X4325,X4326,X4327,X4328,X4329] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4324,X4323)
        | hBOOL(hAPP(X4325,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | ~ hBOOL(hAPP(X4325,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4324,X4323))) )
      & ( X4324 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4323,X4326)
        | hBOOL(hAPP(X4325,X4326))
        | ~ hBOOL(hAPP(X4325,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4324,X4323))) )
      & ( X4328 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4327,esk41_3(X4327,X4328,X4329))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4328,X4327)
        | hBOOL(hAPP(X4329,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4328,X4327))) )
      & ( ~ hBOOL(hAPP(X4329,esk41_3(X4327,X4328,X4329)))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4328,X4327)
        | hBOOL(hAPP(X4329,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4328,X4327))) )
      & ( X4328 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4327,esk41_3(X4327,X4328,X4329))
        | ~ hBOOL(hAPP(X4329,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X4329,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4328,X4327))) )
      & ( ~ hBOOL(hAPP(X4329,esk41_3(X4327,X4328,X4329)))
        | ~ hBOOL(hAPP(X4329,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X4329,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4328,X4327))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1383])])])])])]) ).

fof(i_0_1705,plain,
    ! [X4315,X4316,X4317,X4318,X4319,X4320,X4321] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4316,X4315)
        | hBOOL(hAPP(X4317,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | ~ hBOOL(hAPP(X4317,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4316,X4315))) )
      & ( X4316 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4315,X4318)
        | hBOOL(hAPP(X4317,X4318))
        | ~ hBOOL(hAPP(X4317,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4316,X4315))) )
      & ( X4320 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4319,esk40_3(X4319,X4320,X4321))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4320,X4319)
        | hBOOL(hAPP(X4321,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4320,X4319))) )
      & ( ~ hBOOL(hAPP(X4321,esk40_3(X4319,X4320,X4321)))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4320,X4319)
        | hBOOL(hAPP(X4321,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4320,X4319))) )
      & ( X4320 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4319,esk40_3(X4319,X4320,X4321))
        | ~ hBOOL(hAPP(X4321,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X4321,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4320,X4319))) )
      & ( ~ hBOOL(hAPP(X4321,esk40_3(X4319,X4320,X4321)))
        | ~ hBOOL(hAPP(X4321,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X4321,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4320,X4319))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__diff__split])])])])])]) ).

fof(i_0_1706,plain,
    ! [X2858,X2860] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2858)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk5_1(X2858),X2860)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(v_f____,X2860)),v_z____)),X2858) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_fz_I2_J])])])]) ).

fof(i_0_1707,plain,
    ! [X4253] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4253),X4253),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X4253,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4253,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4253),X4253),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_odd__less__0])]) ).

cnf(i_0_1708,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(split_conjunct,[status(thm)],[i_0_1384]) ).

fof(i_0_1709,plain,
    ! [X4779,X4780,X4781,X4782,X4783] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4783)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4783,X4782),X4781)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4783,X4780),X4779)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4783,c_Groups_Otimes__class_Otimes(X4783,X4782,X4780)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4781,X4779)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult__less])]) ).

fof(i_0_1710,plain,
    ! [X3647,X3648,X3649,X3650,X3651] :
      ( ~ class_RealVector_Oreal__normed__vector(X3651)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3651,X3650),X3649)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3651,X3648),X3647)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3651,c_Groups_Oplus__class_Oplus(X3651,X3650,X3648)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3649,X3647)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__add__less])]) ).

fof(i_0_1711,plain,
    ! [X5001,X5002,X5003,X5004,X5005] :
      ( ~ class_Rings_Ocomm__semiring__1(X5005)
      | c_Groups_Otimes__class_Otimes(X5005,c_Groups_Otimes__class_Otimes(X5005,X5004,X5003),c_Groups_Otimes__class_Otimes(X5005,X5002,X5001)) = c_Groups_Otimes__class_Otimes(X5005,X5002,c_Groups_Otimes__class_Otimes(X5005,c_Groups_Otimes__class_Otimes(X5005,X5004,X5003),X5001)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J])]) ).

fof(i_0_1712,plain,
    ! [X5006,X5007,X5008,X5009,X5010] :
      ( ~ class_Rings_Ocomm__semiring__1(X5010)
      | c_Groups_Otimes__class_Otimes(X5010,c_Groups_Otimes__class_Otimes(X5010,X5009,X5008),c_Groups_Otimes__class_Otimes(X5010,X5007,X5006)) = c_Groups_Otimes__class_Otimes(X5010,X5009,c_Groups_Otimes__class_Otimes(X5010,X5008,c_Groups_Otimes__class_Otimes(X5010,X5007,X5006))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J])]) ).

cnf(i_0_1713,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),X2),c_Nat_OSuc(X3)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),
    inference(split_conjunct,[status(thm)],[i_0_1385]) ).

cnf(i_0_1714,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1386]) ).

cnf(i_0_1715,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1387]) ).

cnf(i_0_1716,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_1388]) ).

cnf(i_0_1717,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_1389]) ).

fof(i_0_1718,plain,
    ! [X4911,X4912,X4913,X4914,X4915] :
      ( ~ class_Rings_Oordered__semiring(X4915)
      | ~ c_Orderings_Oord__class_Oless__eq(X4915,X4914,X4913)
      | ~ c_Orderings_Oord__class_Oless__eq(X4915,X4912,X4911)
      | ~ c_Orderings_Oord__class_Oless__eq(X4915,c_Groups_Ozero__class_Ozero(X4915),X4914)
      | ~ c_Orderings_Oord__class_Oless__eq(X4915,c_Groups_Ozero__class_Ozero(X4915),X4912)
      | c_Orderings_Oord__class_Oless__eq(X4915,c_Groups_Otimes__class_Otimes(X4915,X4914,X4912),c_Groups_Otimes__class_Otimes(X4915,X4913,X4911)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__mono_H])]) ).

fof(i_0_1719,plain,
    ! [X4906,X4907,X4908,X4909,X4910] :
      ( ~ class_Rings_Oordered__semiring(X4910)
      | ~ c_Orderings_Oord__class_Oless__eq(X4910,X4909,X4908)
      | ~ c_Orderings_Oord__class_Oless__eq(X4910,X4907,X4906)
      | ~ c_Orderings_Oord__class_Oless__eq(X4910,c_Groups_Ozero__class_Ozero(X4910),X4908)
      | ~ c_Orderings_Oord__class_Oless__eq(X4910,c_Groups_Ozero__class_Ozero(X4910),X4907)
      | c_Orderings_Oord__class_Oless__eq(X4910,c_Groups_Otimes__class_Otimes(X4910,X4909,X4907),c_Groups_Otimes__class_Otimes(X4910,X4908,X4906)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__mono])]) ).

fof(i_0_1720,plain,
    ! [X3028,X3029,X3030,X3031,X3032] :
      ( ~ class_Fields_Olinordered__field(X3032)
      | ~ c_Orderings_Oord__class_Oless__eq(X3032,c_Groups_Ozero__class_Ozero(X3032),X3031)
      | ~ c_Orderings_Oord__class_Oless__eq(X3032,X3031,X3030)
      | ~ c_Orderings_Oord__class_Oless(X3032,c_Groups_Ozero__class_Ozero(X3032),X3029)
      | ~ c_Orderings_Oord__class_Oless__eq(X3032,X3029,X3028)
      | c_Orderings_Oord__class_Oless__eq(X3032,c_Rings_Oinverse__class_Odivide(X3032,X3031,X3028),c_Rings_Oinverse__class_Odivide(X3032,X3030,X3029)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_frac__le])]) ).

fof(i_0_1721,plain,
    ! [X3033,X3034,X3035,X3036,X3037] :
      ( ~ class_Fields_Olinordered__field(X3037)
      | ~ c_Orderings_Oord__class_Oless__eq(X3037,c_Groups_Ozero__class_Ozero(X3037),X3036)
      | ~ c_Orderings_Oord__class_Oless(X3037,X3036,X3035)
      | ~ c_Orderings_Oord__class_Oless(X3037,c_Groups_Ozero__class_Ozero(X3037),X3034)
      | ~ c_Orderings_Oord__class_Oless__eq(X3037,X3034,X3033)
      | c_Orderings_Oord__class_Oless(X3037,c_Rings_Oinverse__class_Odivide(X3037,X3036,X3033),c_Rings_Oinverse__class_Odivide(X3037,X3035,X3034)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_frac__less])]) ).

fof(i_0_1722,plain,
    ! [X3038,X3039,X3040,X3041,X3042] :
      ( ~ class_Fields_Olinordered__field(X3042)
      | ~ c_Orderings_Oord__class_Oless(X3042,c_Groups_Ozero__class_Ozero(X3042),X3041)
      | ~ c_Orderings_Oord__class_Oless__eq(X3042,X3041,X3040)
      | ~ c_Orderings_Oord__class_Oless(X3042,c_Groups_Ozero__class_Ozero(X3042),X3039)
      | ~ c_Orderings_Oord__class_Oless(X3042,X3039,X3038)
      | c_Orderings_Oord__class_Oless(X3042,c_Rings_Oinverse__class_Odivide(X3042,X3041,X3038),c_Rings_Oinverse__class_Odivide(X3042,X3040,X3039)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_frac__less2])]) ).

fof(i_0_1723,plain,
    ! [X4721,X4722,X4723,X4724,X4725] :
      ( ~ class_Rings_Olinordered__idom(X4725)
      | ~ c_Orderings_Oord__class_Oless(X4725,c_Groups_Oabs__class_Oabs(X4725,X4724),X4723)
      | ~ c_Orderings_Oord__class_Oless(X4725,c_Groups_Oabs__class_Oabs(X4725,X4722),X4721)
      | c_Orderings_Oord__class_Oless(X4725,c_Groups_Otimes__class_Otimes(X4725,c_Groups_Oabs__class_Oabs(X4725,X4724),c_Groups_Oabs__class_Oabs(X4725,X4722)),c_Groups_Otimes__class_Otimes(X4725,X4723,X4721)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult__less])]) ).

fof(i_0_1724,plain,
    ! [X2883,X2884,X2885] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2884,X2885),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2883,X2885))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2884,X2883)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2885,X2883)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2885,X2884) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2884,X2883)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2884,X2885),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2883,X2885))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2885,X2883)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2885,X2884) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__diff__iff])])]) ).

fof(i_0_1725,plain,
    ! [X2926,X2927,X2928] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2927,X2928),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2926,X2928))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2927,X2926)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2928,X2926)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2928,X2927) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2927,X2926)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2927,X2928),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2926,X2928))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2928,X2926)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2928,X2927) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__diff__iff])])]) ).

fof(i_0_1726,plain,
    ! [X3745,X3746,X3747,X3748] :
      ( ~ class_Int_Onumber__ring(X3748)
      | c_Groups_Oplus__class_Oplus(X3748,c_Int_Onumber__class_Onumber__of(X3748,X3747),c_Groups_Ominus__class_Ominus(X3748,X3746,c_Int_Onumber__class_Onumber__of(X3748,X3745))) = c_Groups_Oplus__class_Oplus(X3748,c_Int_Onumber__class_Onumber__of(X3748,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3747,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X3745))),X3746) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__number__of__diff2])]) ).

cnf(i_0_1727,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(X2)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1390]) ).

cnf(i_0_1728,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3)),c_Groups_Oone__class_Oone(X1))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1391]) ).

cnf(i_0_1729,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3)),X2)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oone__class_Oone(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1392]) ).

fof(i_0_1730,plain,
    ! [X4437,X4438,X4439,X4440] :
      ( ~ class_Rings_Olinordered__semidom(X4440)
      | ~ c_Orderings_Oord__class_Oless(X4440,c_Power_Opower__class_Opower(X4440,X4439,X4438),c_Power_Opower__class_Opower(X4440,X4437,X4438))
      | ~ c_Orderings_Oord__class_Oless__eq(X4440,c_Groups_Ozero__class_Ozero(X4440),X4437)
      | c_Orderings_Oord__class_Oless(X4440,X4439,X4437) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__less__imp__less__base])]) ).

fof(i_0_1731,plain,
    ! [X4851,X4852,X4853,X4854] :
      ( ( ~ c_Orderings_Oord__class_Oless(X4854,c_Groups_Otimes__class_Otimes(X4854,X4853,X4852),c_Groups_Otimes__class_Otimes(X4854,X4853,X4851))
        | c_Orderings_Oord__class_Oless(X4854,X4852,X4851)
        | ~ c_Orderings_Oord__class_Oless(X4854,c_Groups_Ozero__class_Ozero(X4854),X4853)
        | ~ class_Rings_Olinordered__ring__strict(X4854) )
      & ( ~ c_Orderings_Oord__class_Oless(X4854,X4852,X4851)
        | c_Orderings_Oord__class_Oless(X4854,c_Groups_Otimes__class_Otimes(X4854,X4853,X4852),c_Groups_Otimes__class_Otimes(X4854,X4853,X4851))
        | ~ c_Orderings_Oord__class_Oless(X4854,c_Groups_Ozero__class_Ozero(X4854),X4853)
        | ~ class_Rings_Olinordered__ring__strict(X4854) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__left__pos])])]) ).

fof(i_0_1732,plain,
    ! [X4870,X4871,X4872,X4873] :
      ( ( ~ c_Orderings_Oord__class_Oless(X4873,c_Groups_Otimes__class_Otimes(X4873,X4872,X4871),c_Groups_Otimes__class_Otimes(X4873,X4872,X4870))
        | c_Orderings_Oord__class_Oless(X4873,X4870,X4871)
        | ~ c_Orderings_Oord__class_Oless(X4873,X4872,c_Groups_Ozero__class_Ozero(X4873))
        | ~ class_Rings_Olinordered__ring__strict(X4873) )
      & ( ~ c_Orderings_Oord__class_Oless(X4873,X4870,X4871)
        | c_Orderings_Oord__class_Oless(X4873,c_Groups_Otimes__class_Otimes(X4873,X4872,X4871),c_Groups_Otimes__class_Otimes(X4873,X4872,X4870))
        | ~ c_Orderings_Oord__class_Oless(X4873,X4872,c_Groups_Ozero__class_Ozero(X4873))
        | ~ class_Rings_Olinordered__ring__strict(X4873) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__left__neg])])]) ).

fof(i_0_1733,plain,
    ! [X4503,X4504,X4505,X4506] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X4506,c_Power_Opower__class_Opower(X4506,X4505,X4504),c_Power_Opower__class_Opower(X4506,X4505,X4503))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4504,X4503)
        | ~ c_Orderings_Oord__class_Oless(X4506,c_Groups_Oone__class_Oone(X4506),X4505)
        | ~ class_Rings_Olinordered__semidom(X4506) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4504,X4503)
        | c_Orderings_Oord__class_Oless__eq(X4506,c_Power_Opower__class_Opower(X4506,X4505,X4504),c_Power_Opower__class_Opower(X4506,X4505,X4503))
        | ~ c_Orderings_Oord__class_Oless(X4506,c_Groups_Oone__class_Oone(X4506),X4505)
        | ~ class_Rings_Olinordered__semidom(X4506) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__increasing__iff])])]) ).

fof(i_0_1734,plain,
    ! [X4499,X4500,X4501,X4502] :
      ( ~ class_Rings_Olinordered__semidom(X4502)
      | ~ c_Orderings_Oord__class_Oless(X4502,c_Groups_Oone__class_Oone(X4502),X4501)
      | ~ c_Orderings_Oord__class_Oless__eq(X4502,c_Power_Opower__class_Opower(X4502,X4501,X4500),c_Power_Opower__class_Opower(X4502,X4501,X4499))
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4500,X4499) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__le__imp__le__exp])]) ).

fof(i_0_1735,plain,
    ! [X4465,X4466,X4467,X4468] :
      ( ~ class_Rings_Olinordered__semidom(X4468)
      | ~ c_Orderings_Oord__class_Oless(X4468,c_Groups_Oone__class_Oone(X4468),X4467)
      | ~ c_Orderings_Oord__class_Oless(X4468,c_Power_Opower__class_Opower(X4468,X4467,X4466),c_Power_Opower__class_Opower(X4468,X4467,X4465))
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4466,X4465) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__less__imp__less__exp])]) ).

fof(i_0_1736,plain,
    ! [X4461,X4462,X4463,X4464] :
      ( ( ~ c_Orderings_Oord__class_Oless(X4464,c_Power_Opower__class_Opower(X4464,X4463,X4462),c_Power_Opower__class_Opower(X4464,X4463,X4461))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4462,X4461)
        | ~ c_Orderings_Oord__class_Oless(X4464,c_Groups_Oone__class_Oone(X4464),X4463)
        | ~ class_Rings_Olinordered__semidom(X4464) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4462,X4461)
        | c_Orderings_Oord__class_Oless(X4464,c_Power_Opower__class_Opower(X4464,X4463,X4462),c_Power_Opower__class_Opower(X4464,X4463,X4461))
        | ~ c_Orderings_Oord__class_Oless(X4464,c_Groups_Oone__class_Oone(X4464),X4463)
        | ~ class_Rings_Olinordered__semidom(X4464) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__increasing__iff])])]) ).

fof(i_0_1737,plain,
    ! [X4648,X4649,X4650,X4651] :
      ( ~ class_Int_Onumber(X4651)
      | ~ class_Rings_Osemiring(X4651)
      | c_Groups_Otimes__class_Otimes(X4651,c_Groups_Oplus__class_Oplus(X4651,X4650,X4649),c_Int_Onumber__class_Onumber__of(X4651,X4648)) = c_Groups_Oplus__class_Oplus(X4651,c_Groups_Otimes__class_Otimes(X4651,X4650,c_Int_Onumber__class_Onumber__of(X4651,X4648)),c_Groups_Otimes__class_Otimes(X4651,X4649,c_Int_Onumber__class_Onumber__of(X4651,X4648))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_left__distrib__number__of])]) ).

fof(i_0_1738,plain,
    ! [X4678,X4679,X4680,X4681] :
      ( ~ class_Int_Onumber(X4681)
      | ~ class_Rings_Oring(X4681)
      | c_Groups_Otimes__class_Otimes(X4681,c_Groups_Ominus__class_Ominus(X4681,X4680,X4679),c_Int_Onumber__class_Onumber__of(X4681,X4678)) = c_Groups_Ominus__class_Ominus(X4681,c_Groups_Otimes__class_Otimes(X4681,X4680,c_Int_Onumber__class_Onumber__of(X4681,X4678)),c_Groups_Otimes__class_Otimes(X4681,X4679,c_Int_Onumber__class_Onumber__of(X4681,X4678))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_left__diff__distrib__number__of])]) ).

fof(i_0_1739,plain,
    ! [X4644,X4645,X4646,X4647] :
      ( ~ class_Int_Onumber(X4647)
      | ~ class_Rings_Osemiring(X4647)
      | c_Groups_Otimes__class_Otimes(X4647,c_Int_Onumber__class_Onumber__of(X4647,X4646),c_Groups_Oplus__class_Oplus(X4647,X4645,X4644)) = c_Groups_Oplus__class_Oplus(X4647,c_Groups_Otimes__class_Otimes(X4647,c_Int_Onumber__class_Onumber__of(X4647,X4646),X4645),c_Groups_Otimes__class_Otimes(X4647,c_Int_Onumber__class_Onumber__of(X4647,X4646),X4644)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__distrib__number__of])]) ).

fof(i_0_1740,plain,
    ! [X4674,X4675,X4676,X4677] :
      ( ~ class_Int_Onumber(X4677)
      | ~ class_Rings_Oring(X4677)
      | c_Groups_Otimes__class_Otimes(X4677,c_Int_Onumber__class_Onumber__of(X4677,X4676),c_Groups_Ominus__class_Ominus(X4677,X4675,X4674)) = c_Groups_Ominus__class_Ominus(X4677,c_Groups_Otimes__class_Otimes(X4677,c_Int_Onumber__class_Onumber__of(X4677,X4676),X4675),c_Groups_Otimes__class_Otimes(X4677,c_Int_Onumber__class_Onumber__of(X4677,X4676),X4674)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__diff__distrib__number__of])]) ).

cnf(i_0_1741,plain,
    ( c_SEQ_Osubseq(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,esk33_1(X1)),hAPP(X1,c_Nat_OSuc(esk33_1(X1)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1393]) ).

fof(i_0_1742,plain,
    ! [X4569,X4570,X4571] :
      ( ( c_Int_Onumber__class_Onumber__of(X4571,X4570) != c_Int_Onumber__class_Onumber__of(X4571,X4569)
        | c_Int_Oiszero(X4571,c_Int_Onumber__class_Onumber__of(X4571,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4570,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4569))))
        | ~ class_Int_Onumber__ring(X4571) )
      & ( ~ c_Int_Oiszero(X4571,c_Int_Onumber__class_Onumber__of(X4571,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4570,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4569))))
        | c_Int_Onumber__class_Onumber__of(X4571,X4570) = c_Int_Onumber__class_Onumber__of(X4571,X4569)
        | ~ class_Int_Onumber__ring(X4571) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__number__of__eq])])]) ).

fof(i_0_1743,plain,
    ! [X3408] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3408),v_r)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3408)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk12_0),v_r)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk12_0)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096])])])])]) ).

cnf(i_0_1744,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1365]) ).

cnf(i_0_1745,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1366]) ).

cnf(i_0_1746,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1367]) ).

cnf(i_0_1747,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit0(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1368]) ).

cnf(i_0_1748,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit1(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1369]) ).

cnf(i_0_1749,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit1(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1370]) ).

cnf(i_0_1750,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit1(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1371]) ).

cnf(i_0_1751,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit1(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1372]) ).

fof(i_0_1752,plain,
    ! [X4434,X4435,X4436] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4436)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X4436,X4435),c_Power_Opower__class_Opower(tc_Nat_Onat,X4436,X4434))
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4435,X4434) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__power__less__imp__less])]) ).

fof(i_0_1753,plain,
    ! [X4727,X4728,X4729] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4728,X4729),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4727,X4729))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4728,X4727)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4729) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4728,X4727)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4728,X4729),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4727,X4729))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4729) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__less__iff1])])]) ).

fof(i_0_1754,plain,
    ! [X4495,X4496,X4497,X4498] :
      ( ~ class_Rings_Olinordered__semidom(X4498)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4497,X4496)
      | ~ c_Orderings_Oord__class_Oless__eq(X4498,c_Groups_Ozero__class_Ozero(X4498),X4495)
      | ~ c_Orderings_Oord__class_Oless__eq(X4498,X4495,c_Groups_Oone__class_Oone(X4498))
      | c_Orderings_Oord__class_Oless__eq(X4498,c_Power_Opower__class_Opower(X4498,X4495,X4496),c_Power_Opower__class_Opower(X4498,X4495,X4497)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__decreasing])]) ).

fof(i_0_1755,plain,
    ! [X4487,X4488,X4489,X4490] :
      ( ~ class_Rings_Olinordered__semidom(X4490)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4489,X4488)
      | ~ c_Orderings_Oord__class_Oless(X4490,c_Groups_Ozero__class_Ozero(X4490),X4487)
      | ~ c_Orderings_Oord__class_Oless(X4490,X4487,c_Groups_Oone__class_Oone(X4490))
      | c_Orderings_Oord__class_Oless(X4490,c_Power_Opower__class_Opower(X4490,X4487,X4488),c_Power_Opower__class_Opower(X4490,X4487,X4489)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__decreasing])]) ).

fof(i_0_1756,plain,
    ! [X4847,X4848,X4849,X4850] :
      ( ( c_Orderings_Oord__class_Oless(X4850,X4849,c_Groups_Ozero__class_Ozero(X4850))
        | c_Orderings_Oord__class_Oless(X4850,c_Groups_Ozero__class_Ozero(X4850),X4849)
        | ~ c_Orderings_Oord__class_Oless(X4850,c_Groups_Otimes__class_Otimes(X4850,X4849,X4848),c_Groups_Otimes__class_Otimes(X4850,X4849,X4847))
        | ~ class_Rings_Olinordered__ring__strict(X4850) )
      & ( c_Orderings_Oord__class_Oless(X4850,X4847,X4848)
        | c_Orderings_Oord__class_Oless(X4850,c_Groups_Ozero__class_Ozero(X4850),X4849)
        | ~ c_Orderings_Oord__class_Oless(X4850,c_Groups_Otimes__class_Otimes(X4850,X4849,X4848),c_Groups_Otimes__class_Otimes(X4850,X4849,X4847))
        | ~ class_Rings_Olinordered__ring__strict(X4850) )
      & ( c_Orderings_Oord__class_Oless(X4850,X4849,c_Groups_Ozero__class_Ozero(X4850))
        | c_Orderings_Oord__class_Oless(X4850,X4848,X4847)
        | ~ c_Orderings_Oord__class_Oless(X4850,c_Groups_Otimes__class_Otimes(X4850,X4849,X4848),c_Groups_Otimes__class_Otimes(X4850,X4849,X4847))
        | ~ class_Rings_Olinordered__ring__strict(X4850) )
      & ( c_Orderings_Oord__class_Oless(X4850,X4847,X4848)
        | c_Orderings_Oord__class_Oless(X4850,X4848,X4847)
        | ~ c_Orderings_Oord__class_Oless(X4850,c_Groups_Otimes__class_Otimes(X4850,X4849,X4848),c_Groups_Otimes__class_Otimes(X4850,X4849,X4847))
        | ~ class_Rings_Olinordered__ring__strict(X4850) )
      & ( ~ c_Orderings_Oord__class_Oless(X4850,c_Groups_Ozero__class_Ozero(X4850),X4849)
        | ~ c_Orderings_Oord__class_Oless(X4850,X4848,X4847)
        | c_Orderings_Oord__class_Oless(X4850,c_Groups_Otimes__class_Otimes(X4850,X4849,X4848),c_Groups_Otimes__class_Otimes(X4850,X4849,X4847))
        | ~ class_Rings_Olinordered__ring__strict(X4850) )
      & ( ~ c_Orderings_Oord__class_Oless(X4850,X4849,c_Groups_Ozero__class_Ozero(X4850))
        | ~ c_Orderings_Oord__class_Oless(X4850,X4847,X4848)
        | c_Orderings_Oord__class_Oless(X4850,c_Groups_Otimes__class_Otimes(X4850,X4849,X4848),c_Groups_Otimes__class_Otimes(X4850,X4849,X4847))
        | ~ class_Rings_Olinordered__ring__strict(X4850) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__left__disj])])]) ).

fof(i_0_1757,plain,
    ! [X4843,X4844,X4845,X4846] :
      ( ( c_Orderings_Oord__class_Oless(X4846,X4844,c_Groups_Ozero__class_Ozero(X4846))
        | c_Orderings_Oord__class_Oless(X4846,c_Groups_Ozero__class_Ozero(X4846),X4844)
        | ~ c_Orderings_Oord__class_Oless(X4846,c_Groups_Otimes__class_Otimes(X4846,X4845,X4844),c_Groups_Otimes__class_Otimes(X4846,X4843,X4844))
        | ~ class_Rings_Olinordered__ring__strict(X4846) )
      & ( c_Orderings_Oord__class_Oless(X4846,X4843,X4845)
        | c_Orderings_Oord__class_Oless(X4846,c_Groups_Ozero__class_Ozero(X4846),X4844)
        | ~ c_Orderings_Oord__class_Oless(X4846,c_Groups_Otimes__class_Otimes(X4846,X4845,X4844),c_Groups_Otimes__class_Otimes(X4846,X4843,X4844))
        | ~ class_Rings_Olinordered__ring__strict(X4846) )
      & ( c_Orderings_Oord__class_Oless(X4846,X4844,c_Groups_Ozero__class_Ozero(X4846))
        | c_Orderings_Oord__class_Oless(X4846,X4845,X4843)
        | ~ c_Orderings_Oord__class_Oless(X4846,c_Groups_Otimes__class_Otimes(X4846,X4845,X4844),c_Groups_Otimes__class_Otimes(X4846,X4843,X4844))
        | ~ class_Rings_Olinordered__ring__strict(X4846) )
      & ( c_Orderings_Oord__class_Oless(X4846,X4843,X4845)
        | c_Orderings_Oord__class_Oless(X4846,X4845,X4843)
        | ~ c_Orderings_Oord__class_Oless(X4846,c_Groups_Otimes__class_Otimes(X4846,X4845,X4844),c_Groups_Otimes__class_Otimes(X4846,X4843,X4844))
        | ~ class_Rings_Olinordered__ring__strict(X4846) )
      & ( ~ c_Orderings_Oord__class_Oless(X4846,c_Groups_Ozero__class_Ozero(X4846),X4844)
        | ~ c_Orderings_Oord__class_Oless(X4846,X4845,X4843)
        | c_Orderings_Oord__class_Oless(X4846,c_Groups_Otimes__class_Otimes(X4846,X4845,X4844),c_Groups_Otimes__class_Otimes(X4846,X4843,X4844))
        | ~ class_Rings_Olinordered__ring__strict(X4846) )
      & ( ~ c_Orderings_Oord__class_Oless(X4846,X4844,c_Groups_Ozero__class_Ozero(X4846))
        | ~ c_Orderings_Oord__class_Oless(X4846,X4843,X4845)
        | c_Orderings_Oord__class_Oless(X4846,c_Groups_Otimes__class_Otimes(X4846,X4845,X4844),c_Groups_Otimes__class_Otimes(X4846,X4843,X4844))
        | ~ class_Rings_Olinordered__ring__strict(X4846) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__right__disj])])]) ).

fof(i_0_1758,plain,
    ! [X4572,X4573] :
      ( ( c_Groups_Ozero__class_Ozero(X4573) != c_Int_Onumber__class_Onumber__of(X4573,X4572)
        | c_Int_Oiszero(X4573,c_Int_Onumber__class_Onumber__of(X4573,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4572))))
        | ~ class_Int_Onumber__ring(X4573) )
      & ( ~ c_Int_Oiszero(X4573,c_Int_Onumber__class_Onumber__of(X4573,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4572))))
        | c_Groups_Ozero__class_Ozero(X4573) = c_Int_Onumber__class_Onumber__of(X4573,X4572)
        | ~ class_Int_Onumber__ring(X4573) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__special_I1_J])])]) ).

fof(i_0_1759,plain,
    ! [X4360,X4361,X4362,X4363] :
      ( ~ class_Rings_Olinordered__semidom(X4363)
      | ~ c_Orderings_Oord__class_Oless(X4363,X4362,X4361)
      | ~ c_Orderings_Oord__class_Oless__eq(X4363,c_Groups_Ozero__class_Ozero(X4363),X4362)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4360)
      | c_Orderings_Oord__class_Oless(X4363,c_Power_Opower__class_Opower(X4363,X4362,X4360),c_Power_Opower__class_Opower(X4363,X4361,X4360)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__mono])]) ).

fof(i_0_1760,plain,
    ! [X4996,X4997,X4998,X4999,X5000] :
      ( ~ class_Rings_Ocomm__semiring__1(X5000)
      | c_Groups_Otimes__class_Otimes(X5000,c_Groups_Otimes__class_Otimes(X5000,X4999,X4998),c_Groups_Otimes__class_Otimes(X5000,X4997,X4996)) = c_Groups_Otimes__class_Otimes(X5000,c_Groups_Otimes__class_Otimes(X5000,X4999,X4997),c_Groups_Otimes__class_Otimes(X5000,X4998,X4996)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J])]) ).

fof(i_0_1761,plain,
    ! [X4763,X4764,X4765,X4766,X4767] :
      ( ~ class_Fields_Ofield__inverse__zero(X4767)
      | c_Groups_Otimes__class_Otimes(X4767,c_Rings_Oinverse__class_Odivide(X4767,X4766,X4765),c_Rings_Oinverse__class_Odivide(X4767,X4764,X4763)) = c_Rings_Oinverse__class_Odivide(X4767,c_Groups_Otimes__class_Otimes(X4767,X4766,X4764),c_Groups_Otimes__class_Otimes(X4767,X4765,X4763)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_times__divide__times__eq])]) ).

fof(i_0_1762,plain,
    ! [X4538,X4539,X4540,X4541,X4542] :
      ( ~ class_Rings_Ocomm__semiring__1(X4542)
      | c_Groups_Oplus__class_Oplus(X4542,c_Groups_Oplus__class_Oplus(X4542,X4541,X4540),c_Groups_Oplus__class_Oplus(X4542,X4539,X4538)) = c_Groups_Oplus__class_Oplus(X4542,c_Groups_Oplus__class_Oplus(X4542,X4541,X4539),c_Groups_Oplus__class_Oplus(X4542,X4540,X4538)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J])]) ).

fof(i_0_1763,plain,
    ! [X4350,X4351,X4352,X4353,X4354] :
      ( ~ class_Groups_Oab__group__add(X4354)
      | c_Groups_Ominus__class_Ominus(X4354,c_Groups_Oplus__class_Oplus(X4354,X4353,X4352),c_Groups_Oplus__class_Oplus(X4354,X4351,X4350)) = c_Groups_Oplus__class_Oplus(X4354,c_Groups_Ominus__class_Ominus(X4354,X4353,X4351),c_Groups_Ominus__class_Ominus(X4354,X4352,X4350)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Deriv_Oadd__diff__add])]) ).

fof(i_0_1764,plain,
    ! [X4574,X4575] :
      ( ( c_Int_Onumber__class_Onumber__of(X4575,X4574) != c_Groups_Ozero__class_Ozero(X4575)
        | c_Int_Oiszero(X4575,c_Int_Onumber__class_Onumber__of(X4575,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4574,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls))))
        | ~ class_Int_Onumber__ring(X4575) )
      & ( ~ c_Int_Oiszero(X4575,c_Int_Onumber__class_Onumber__of(X4575,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4574,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls))))
        | c_Int_Onumber__class_Onumber__of(X4575,X4574) = c_Groups_Ozero__class_Ozero(X4575)
        | ~ class_Int_Onumber__ring(X4575) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__special_I3_J])])]) ).

cnf(i_0_1765,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1394]) ).

fof(i_0_1766,plain,
    ! [X4795,X4796,X4797,X4798] :
      ( ~ class_Int_Onumber__ring(X4798)
      | c_Groups_Otimes__class_Otimes(X4798,c_Int_Onumber__class_Onumber__of(X4798,X4797),c_Groups_Otimes__class_Otimes(X4798,c_Int_Onumber__class_Onumber__of(X4798,X4796),X4795)) = c_Groups_Otimes__class_Otimes(X4798,c_Int_Onumber__class_Onumber__of(X4798,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X4797,X4796)),X4795) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__number__of__left])]) ).

fof(i_0_1767,plain,
    ! [X3538,X3539,X3540,X3541] :
      ( ~ class_Int_Onumber__ring(X3541)
      | c_Groups_Oplus__class_Oplus(X3541,c_Int_Onumber__class_Onumber__of(X3541,X3540),c_Groups_Oplus__class_Oplus(X3541,c_Int_Onumber__class_Onumber__of(X3541,X3539),X3538)) = c_Groups_Oplus__class_Oplus(X3541,c_Int_Onumber__class_Onumber__of(X3541,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3540,X3539)),X3538) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__number__of__left])]) ).

fof(i_0_1768,plain,
    ! [X3504,X3505,X3506,X3507] :
      ( ~ class_Int_Onumber__ring(X3507)
      | c_Groups_Oplus__class_Oplus(X3507,c_Int_Onumber__class_Onumber__of(X3507,X3506),c_Groups_Ominus__class_Ominus(X3507,c_Int_Onumber__class_Onumber__of(X3507,X3505),X3504)) = c_Groups_Ominus__class_Ominus(X3507,c_Int_Onumber__class_Onumber__of(X3507,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3506,X3505)),X3504) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__number__of__diff1])]) ).

fof(i_0_1769,plain,
    ! [X3422] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3422),v_r)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk16_0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3422))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1395])])])]) ).

fof(i_0_1770,plain,
    ! [X4512,X4513,X4514,X4515] :
      ( ~ class_Fields_Ofield(X4515)
      | X4514 = c_Groups_Ozero__class_Ozero(X4515)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4513,X4512)
      | c_Power_Opower__class_Opower(X4515,X4514,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4512,X4513)) = c_Rings_Oinverse__class_Odivide(X4515,c_Power_Opower__class_Opower(X4515,X4514,X4512),c_Power_Opower__class_Opower(X4515,X4514,X4513)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__diff])]) ).

cnf(i_0_1771,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1396]) ).

cnf(i_0_1772,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1397]) ).

cnf(i_0_1773,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1381]) ).

cnf(i_0_1774,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1382]) ).

cnf(i_0_1775,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Int_OBit1(c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oone__class_Oone(X1))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1379]) ).

cnf(i_0_1776,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Int_OBit1(c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oone__class_Oone(X1))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1380]) ).

fof(i_0_1777,plain,
    ! [X3410,X3411,X3412] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3411),v_r)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3411)),X3410)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X3410) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk13_1(X3412)),v_r)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X3412) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk13_1(X3412))),X3412)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X3412) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_s1])])])])])]) ).

cnf(i_0_1778,plain,
    ( X1 = X2
    | c_Int_OBit1(X1) != c_Int_OBit1(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1398]) ).

fof(i_0_1779,plain,
    ! [X3005,X3006,X3007] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3007)
      | c_Orderings_Oord__class_Oless__eq(X3007,c_Groups_Ominus__class_Ominus(X3007,c_Groups_Oabs__class_Oabs(X3007,X3006),c_Groups_Oabs__class_Oabs(X3007,X3005)),c_Groups_Oabs__class_Oabs(X3007,c_Groups_Ominus__class_Ominus(X3007,X3006,X3005))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq2])]) ).

fof(i_0_1780,plain,
    ! [X3002,X3003,X3004] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3004)
      | c_Orderings_Oord__class_Oless__eq(X3004,c_Groups_Ominus__class_Ominus(X3004,c_Groups_Oabs__class_Oabs(X3004,X3003),c_Groups_Oabs__class_Oabs(X3004,X3002)),c_Groups_Oabs__class_Oabs(X3004,c_Groups_Ominus__class_Ominus(X3004,X3002,X3003))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq2__sym])]) ).

fof(i_0_1781,plain,
    ! [X3892,X3893,X3894] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3894)
      | c_Orderings_Oord__class_Oless__eq(X3894,c_Groups_Oabs__class_Oabs(X3894,c_Groups_Oplus__class_Oplus(X3894,X3893,X3892)),c_Groups_Oplus__class_Oplus(X3894,c_Groups_Oabs__class_Oabs(X3894,X3893),c_Groups_Oabs__class_Oabs(X3894,X3892))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq])]) ).

fof(i_0_1782,plain,
    ! [X4000,X4001,X4002] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X4002)
      | c_Orderings_Oord__class_Oless__eq(X4002,c_Groups_Oabs__class_Oabs(X4002,c_Groups_Ominus__class_Ominus(X4002,X4001,X4000)),c_Groups_Oplus__class_Oplus(X4002,c_Groups_Oabs__class_Oabs(X4002,X4001),c_Groups_Oabs__class_Oabs(X4002,X4000))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq4])]) ).

fof(i_0_1783,plain,
    ! [X4576,X4577] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4577),X4576)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4576,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4577),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | c_RComplete_Onatceiling(X4576) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4577,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__eq])]) ).

fof(i_0_1784,plain,
    ! [X4018,X4019,X4020] :
      ( ~ class_RealVector_Oreal__normed__vector(X4020)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4020,X4019),c_RealVector_Onorm__class_Onorm(X4020,X4018)),c_RealVector_Onorm__class_Onorm(X4020,c_Groups_Oplus__class_Oplus(X4020,X4019,X4018))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__diff__ineq])]) ).

fof(i_0_1785,plain,
    ! [X3298,X3299,X3300] :
      ( ~ class_RealVector_Oreal__normed__vector(X3300)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3300,X3299),c_RealVector_Onorm__class_Onorm(X3300,X3298)),c_RealVector_Onorm__class_Onorm(X3300,c_Groups_Ominus__class_Ominus(X3300,X3299,X3298))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__triangle__ineq2])]) ).

fof(i_0_1786,plain,
    ! [X4817,X4818,X4819] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4819)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4819,c_Groups_Otimes__class_Otimes(X4819,X4818,X4817)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4819,X4818),c_RealVector_Onorm__class_Onorm(X4819,X4817))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult__ineq])]) ).

fof(i_0_1787,plain,
    ! [X3494,X3495,X3496] :
      ( ~ class_RealVector_Oreal__normed__vector(X3496)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3496,c_Groups_Oplus__class_Oplus(X3496,X3495,X3494)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3496,X3495),c_RealVector_Onorm__class_Onorm(X3496,X3494))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__triangle__ineq])]) ).

fof(i_0_1788,plain,
    ! [X4010,X4011,X4012] :
      ( ~ class_RealVector_Oreal__normed__vector(X4012)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4012,c_Groups_Ominus__class_Ominus(X4012,X4011,X4010)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4012,X4011),c_RealVector_Onorm__class_Onorm(X4012,X4010))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__triangle__ineq4])]) ).

fof(i_0_1789,plain,
    ! [X4813,X4814,X4815,X4816] :
      ( ~ class_Rings_Ocomm__semiring__0(X4816)
      | hAPP(c_Polynomial_Opoly(X4816,c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4816),X4815,X4814)),X4813) = c_Groups_Otimes__class_Otimes(X4816,hAPP(c_Polynomial_Opoly(X4816,X4815),X4813),hAPP(c_Polynomial_Opoly(X4816,X4814),X4813)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__mult])]) ).

fof(i_0_1790,plain,
    ! [X3517,X3518,X3519,X3520] :
      ( ~ class_Rings_Ocomm__semiring__0(X3520)
      | hAPP(c_Polynomial_Opoly(X3520,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3520),X3519,X3518)),X3517) = c_Groups_Oplus__class_Oplus(X3520,hAPP(c_Polynomial_Opoly(X3520,X3519),X3517),hAPP(c_Polynomial_Opoly(X3520,X3518),X3517)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__add])]) ).

fof(i_0_1791,plain,
    ! [X2864,X2865,X2866,X2867] :
      ( ~ class_Rings_Ocomm__ring(X2867)
      | hAPP(c_Polynomial_Opoly(X2867,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X2867),X2866,X2865)),X2864) = c_Groups_Ominus__class_Ominus(X2867,hAPP(c_Polynomial_Opoly(X2867,X2866),X2864),hAPP(c_Polynomial_Opoly(X2867,X2865),X2864)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__diff])]) ).

cnf(i_0_1792,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1399]) ).

fof(i_0_1793,plain,
    ! [X4285,X4286,X4287] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4285,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4286,X4287))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4285,X4287),X4286)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4287,X4286) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4285,X4287),X4286)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4285,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4286,X4287))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4287,X4286) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__diff__conv2])])]) ).

fof(i_0_1794,plain,
    ! [X3625,X3626,X3627,X3628] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3628,c_Groups_Oplus__class_Oplus(X3628,X3627,X3626),c_Groups_Oplus__class_Oplus(X3628,X3625,X3626))
        | c_Orderings_Oord__class_Oless__eq(X3628,X3627,X3625)
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3628) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3628,X3627,X3625)
        | c_Orderings_Oord__class_Oless__eq(X3628,c_Groups_Oplus__class_Oplus(X3628,X3627,X3626),c_Groups_Oplus__class_Oplus(X3628,X3625,X3626))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3628) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__right])])]) ).

fof(i_0_1795,plain,
    ! [X3604,X3605,X3606,X3607] :
      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3607)
      | ~ c_Orderings_Oord__class_Oless__eq(X3607,c_Groups_Oplus__class_Oplus(X3607,X3606,X3605),c_Groups_Oplus__class_Oplus(X3607,X3604,X3605))
      | c_Orderings_Oord__class_Oless__eq(X3607,X3606,X3604) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__imp__le__right])]) ).

fof(i_0_1796,plain,
    ! [X3621,X3622,X3623,X3624] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3624,c_Groups_Oplus__class_Oplus(X3624,X3623,X3622),c_Groups_Oplus__class_Oplus(X3624,X3623,X3621))
        | c_Orderings_Oord__class_Oless__eq(X3624,X3622,X3621)
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3624) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3624,X3622,X3621)
        | c_Orderings_Oord__class_Oless__eq(X3624,c_Groups_Oplus__class_Oplus(X3624,X3623,X3622),c_Groups_Oplus__class_Oplus(X3624,X3623,X3621))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3624) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__left])])]) ).

fof(i_0_1797,plain,
    ! [X3600,X3601,X3602,X3603] :
      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3603)
      | ~ c_Orderings_Oord__class_Oless__eq(X3603,c_Groups_Oplus__class_Oplus(X3603,X3602,X3601),c_Groups_Oplus__class_Oplus(X3603,X3602,X3600))
      | c_Orderings_Oord__class_Oless__eq(X3603,X3601,X3600) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__imp__le__left])]) ).

fof(i_0_1798,plain,
    ! [X3595,X3596,X3597,X3598] :
      ( ( ~ c_Orderings_Oord__class_Oless(X3598,c_Groups_Oplus__class_Oplus(X3598,X3597,X3596),c_Groups_Oplus__class_Oplus(X3598,X3595,X3596))
        | c_Orderings_Oord__class_Oless(X3598,X3597,X3595)
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3598) )
      & ( ~ c_Orderings_Oord__class_Oless(X3598,X3597,X3595)
        | c_Orderings_Oord__class_Oless(X3598,c_Groups_Oplus__class_Oplus(X3598,X3597,X3596),c_Groups_Oplus__class_Oplus(X3598,X3595,X3596))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3598) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__cancel__right])])]) ).

fof(i_0_1799,plain,
    ! [X3574,X3575,X3576,X3577] :
      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3577)
      | ~ c_Orderings_Oord__class_Oless(X3577,c_Groups_Oplus__class_Oplus(X3577,X3576,X3575),c_Groups_Oplus__class_Oplus(X3577,X3574,X3575))
      | c_Orderings_Oord__class_Oless(X3577,X3576,X3574) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__imp__less__right])]) ).

fof(i_0_1800,plain,
    ! [X3591,X3592,X3593,X3594] :
      ( ( ~ c_Orderings_Oord__class_Oless(X3594,c_Groups_Oplus__class_Oplus(X3594,X3593,X3592),c_Groups_Oplus__class_Oplus(X3594,X3593,X3591))
        | c_Orderings_Oord__class_Oless(X3594,X3592,X3591)
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3594) )
      & ( ~ c_Orderings_Oord__class_Oless(X3594,X3592,X3591)
        | c_Orderings_Oord__class_Oless(X3594,c_Groups_Oplus__class_Oplus(X3594,X3593,X3592),c_Groups_Oplus__class_Oplus(X3594,X3593,X3591))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3594) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__cancel__left])])]) ).

fof(i_0_1801,plain,
    ! [X3570,X3571,X3572,X3573] :
      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3573)
      | ~ c_Orderings_Oord__class_Oless(X3573,c_Groups_Oplus__class_Oplus(X3573,X3572,X3571),c_Groups_Oplus__class_Oplus(X3573,X3572,X3570))
      | c_Orderings_Oord__class_Oless(X3573,X3571,X3570) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__imp__less__left])]) ).

cnf(i_0_1802,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1400]) ).

cnf(i_0_1803,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1401]) ).

cnf(i_0_1804,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1402]) ).

cnf(i_0_1805,plain,
    ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X1
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1403]) ).

fof(i_0_1806,plain,
    ! [X2886,X2887,X2888] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2888,X2887)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2888,X2886)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2887,X2888),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2886,X2888)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2887,X2886) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat_Odiff__diff__eq])]) ).

cnf(i_0_1807,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(split_conjunct,[status(thm)],[i_0_1384]) ).

cnf(i_0_1808,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(X2)),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1404]) ).

fof(i_0_1809,plain,
    ! [X4193,X4194,X4195] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4195,X4194),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4195,X4193))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4194,X4193) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4194,X4193)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4195,X4194),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4195,X4193)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel__le])]) ).

cnf(i_0_1810,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1405]) ).

cnf(i_0_1811,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1406]) ).

fof(i_0_1812,plain,
    ! [X4136,X4137,X4138] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4138,X4137),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4138,X4136))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4137,X4136) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4137,X4136)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4138,X4137),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4138,X4136)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel__less])]) ).

cnf(i_0_1813,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1407]) ).

cnf(i_0_1814,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1408]) ).

fof(i_0_1815,plain,
    ! [X4491,X4492,X4493,X4494] :
      ( ~ class_Rings_Olinordered__semidom(X4494)
      | c_Power_Opower__class_Opower(X4494,X4493,X4492) != c_Power_Opower__class_Opower(X4494,X4491,X4492)
      | ~ c_Orderings_Oord__class_Oless__eq(X4494,c_Groups_Ozero__class_Ozero(X4494),X4493)
      | ~ c_Orderings_Oord__class_Oless__eq(X4494,c_Groups_Ozero__class_Ozero(X4494),X4491)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4492)
      | X4493 = X4491 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__imp__eq__base])]) ).

fof(i_0_1816,plain,
    ! [X4932,X4933,X4934,X4935] :
      ( ~ class_Rings_Oordered__semiring(X4935)
      | ~ c_Orderings_Oord__class_Oless__eq(X4935,X4934,X4933)
      | ~ c_Orderings_Oord__class_Oless__eq(X4935,c_Groups_Ozero__class_Ozero(X4935),X4932)
      | c_Orderings_Oord__class_Oless__eq(X4935,c_Groups_Otimes__class_Otimes(X4935,X4934,X4932),c_Groups_Otimes__class_Otimes(X4935,X4933,X4932)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__mono])]) ).

fof(i_0_1817,plain,
    ! [X4924,X4925,X4926,X4927] :
      ( ~ class_Rings_Oordered__comm__semiring(X4927)
      | ~ c_Orderings_Oord__class_Oless__eq(X4927,X4926,X4925)
      | ~ c_Orderings_Oord__class_Oless__eq(X4927,c_Groups_Ozero__class_Ozero(X4927),X4924)
      | c_Orderings_Oord__class_Oless__eq(X4927,c_Groups_Otimes__class_Otimes(X4927,X4924,X4926),c_Groups_Otimes__class_Otimes(X4927,X4924,X4925)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__mult__left__mono])]) ).

fof(i_0_1818,plain,
    ! [X4928,X4929,X4930,X4931] :
      ( ~ class_Rings_Oordered__semiring(X4931)
      | ~ c_Orderings_Oord__class_Oless__eq(X4931,X4930,X4929)
      | ~ c_Orderings_Oord__class_Oless__eq(X4931,c_Groups_Ozero__class_Ozero(X4931),X4928)
      | c_Orderings_Oord__class_Oless__eq(X4931,c_Groups_Otimes__class_Otimes(X4931,X4928,X4930),c_Groups_Otimes__class_Otimes(X4931,X4928,X4929)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__mono])]) ).

fof(i_0_1819,plain,
    ! [X4392,X4393,X4394,X4395] :
      ( ~ class_Rings_Olinordered__semidom(X4395)
      | ~ c_Orderings_Oord__class_Oless__eq(X4395,X4394,X4393)
      | ~ c_Orderings_Oord__class_Oless__eq(X4395,c_Groups_Ozero__class_Ozero(X4395),X4394)
      | c_Orderings_Oord__class_Oless__eq(X4395,c_Power_Opower__class_Opower(X4395,X4394,X4392),c_Power_Opower__class_Opower(X4395,X4393,X4392)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mono])]) ).

fof(i_0_1820,plain,
    ! [X2986,X2987,X2988,X2989] :
      ( ~ class_Fields_Olinordered__field__inverse__zero(X2989)
      | ~ c_Orderings_Oord__class_Oless__eq(X2989,X2988,X2987)
      | ~ c_Orderings_Oord__class_Oless__eq(X2989,c_Groups_Ozero__class_Ozero(X2989),X2986)
      | c_Orderings_Oord__class_Oless__eq(X2989,c_Rings_Oinverse__class_Odivide(X2989,X2988,X2986),c_Rings_Oinverse__class_Odivide(X2989,X2987,X2986)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__right__mono])]) ).

fof(i_0_1821,plain,
    ! [X4880,X4881,X4882,X4883] :
      ( ~ class_Rings_Olinordered__semiring__strict(X4883)
      | ~ c_Orderings_Oord__class_Oless(X4883,X4882,X4881)
      | ~ c_Orderings_Oord__class_Oless(X4883,c_Groups_Ozero__class_Ozero(X4883),X4880)
      | c_Orderings_Oord__class_Oless(X4883,c_Groups_Otimes__class_Otimes(X4883,X4882,X4880),c_Groups_Otimes__class_Otimes(X4883,X4881,X4880)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__right__mono])]) ).

fof(i_0_1822,plain,
    ! [X4888,X4889,X4890,X4891] :
      ( ~ class_Rings_Olinordered__comm__semiring__strict(X4891)
      | ~ c_Orderings_Oord__class_Oless(X4891,X4890,X4889)
      | ~ c_Orderings_Oord__class_Oless(X4891,c_Groups_Ozero__class_Ozero(X4891),X4888)
      | c_Orderings_Oord__class_Oless(X4891,c_Groups_Otimes__class_Otimes(X4891,X4888,X4890),c_Groups_Otimes__class_Otimes(X4891,X4888,X4889)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__mult__strict__left__mono])]) ).

fof(i_0_1823,plain,
    ! [X4884,X4885,X4886,X4887] :
      ( ~ class_Rings_Olinordered__semiring__strict(X4887)
      | ~ c_Orderings_Oord__class_Oless(X4887,X4886,X4885)
      | ~ c_Orderings_Oord__class_Oless(X4887,c_Groups_Ozero__class_Ozero(X4887),X4884)
      | c_Orderings_Oord__class_Oless(X4887,c_Groups_Otimes__class_Otimes(X4887,X4884,X4886),c_Groups_Otimes__class_Otimes(X4887,X4884,X4885)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__left__mono])]) ).

fof(i_0_1824,plain,
    ! [X2681,X2682,X2683,X2684] :
      ( ~ class_Fields_Olinordered__field(X2684)
      | ~ c_Orderings_Oord__class_Oless(X2684,X2683,X2682)
      | ~ c_Orderings_Oord__class_Oless(X2684,c_Groups_Ozero__class_Ozero(X2684),X2681)
      | c_Orderings_Oord__class_Oless(X2684,c_Rings_Oinverse__class_Odivide(X2684,X2683,X2681),c_Rings_Oinverse__class_Odivide(X2684,X2682,X2681)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__strict__right__mono])]) ).

fof(i_0_1825,plain,
    ! [X4920,X4921,X4922,X4923] :
      ( ~ class_Rings_Oordered__ring(X4923)
      | ~ c_Orderings_Oord__class_Oless__eq(X4923,X4922,X4921)
      | ~ c_Orderings_Oord__class_Oless__eq(X4923,X4920,c_Groups_Ozero__class_Ozero(X4923))
      | c_Orderings_Oord__class_Oless__eq(X4923,c_Groups_Otimes__class_Otimes(X4923,X4921,X4920),c_Groups_Otimes__class_Otimes(X4923,X4922,X4920)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__mono__neg])]) ).

fof(i_0_1826,plain,
    ! [X4916,X4917,X4918,X4919] :
      ( ~ class_Rings_Oordered__ring(X4919)
      | ~ c_Orderings_Oord__class_Oless__eq(X4919,X4918,X4917)
      | ~ c_Orderings_Oord__class_Oless__eq(X4919,X4916,c_Groups_Ozero__class_Ozero(X4919))
      | c_Orderings_Oord__class_Oless__eq(X4919,c_Groups_Otimes__class_Otimes(X4919,X4916,X4917),c_Groups_Otimes__class_Otimes(X4919,X4916,X4918)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__mono__neg])]) ).

fof(i_0_1827,plain,
    ! [X2982,X2983,X2984,X2985] :
      ( ~ class_Fields_Olinordered__field__inverse__zero(X2985)
      | ~ c_Orderings_Oord__class_Oless__eq(X2985,X2984,X2983)
      | ~ c_Orderings_Oord__class_Oless__eq(X2985,X2982,c_Groups_Ozero__class_Ozero(X2985))
      | c_Orderings_Oord__class_Oless__eq(X2985,c_Rings_Oinverse__class_Odivide(X2985,X2983,X2982),c_Rings_Oinverse__class_Odivide(X2985,X2984,X2982)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__right__mono__neg])]) ).

fof(i_0_1828,plain,
    ! [X4892,X4893,X4894,X4895] :
      ( ~ class_Rings_Olinordered__ring__strict(X4895)
      | ~ c_Orderings_Oord__class_Oless(X4895,X4894,X4893)
      | ~ c_Orderings_Oord__class_Oless(X4895,X4892,c_Groups_Ozero__class_Ozero(X4895))
      | c_Orderings_Oord__class_Oless(X4895,c_Groups_Otimes__class_Otimes(X4895,X4893,X4892),c_Groups_Otimes__class_Otimes(X4895,X4894,X4892)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__right__mono__neg])]) ).

fof(i_0_1829,plain,
    ! [X4896,X4897,X4898,X4899] :
      ( ~ class_Rings_Olinordered__ring__strict(X4899)
      | ~ c_Orderings_Oord__class_Oless(X4899,X4898,X4897)
      | ~ c_Orderings_Oord__class_Oless(X4899,X4896,c_Groups_Ozero__class_Ozero(X4899))
      | c_Orderings_Oord__class_Oless(X4899,c_Groups_Otimes__class_Otimes(X4899,X4896,X4897),c_Groups_Otimes__class_Otimes(X4899,X4896,X4898)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__left__mono__neg])]) ).

fof(i_0_1830,plain,
    ! [X2677,X2678,X2679,X2680] :
      ( ~ class_Fields_Olinordered__field(X2680)
      | ~ c_Orderings_Oord__class_Oless(X2680,X2679,X2678)
      | ~ c_Orderings_Oord__class_Oless(X2680,X2677,c_Groups_Ozero__class_Ozero(X2680))
      | c_Orderings_Oord__class_Oless(X2680,c_Rings_Oinverse__class_Odivide(X2680,X2678,X2677),c_Rings_Oinverse__class_Odivide(X2680,X2679,X2677)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__strict__right__mono__neg])]) ).

cnf(i_0_1831,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_1388]) ).

cnf(i_0_1832,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_1389]) ).

cnf(i_0_1833,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1386]) ).

cnf(i_0_1834,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1387]) ).

fof(i_0_1835,plain,
    ! [X3491,X3492,X3493] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3493)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3493,c_Power_Opower__class_Opower(X3493,X3492,X3491)),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3493,X3492),X3491)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__power__ineq])]) ).

fof(i_0_1836,plain,
    ! [X4473,X4474,X4475,X4476] :
      ( ~ class_Rings_Olinordered__semidom(X4476)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4475,X4474)
      | ~ c_Orderings_Oord__class_Oless__eq(X4476,c_Groups_Oone__class_Oone(X4476),X4473)
      | c_Orderings_Oord__class_Oless__eq(X4476,c_Power_Opower__class_Opower(X4476,X4473,X4475),c_Power_Opower__class_Opower(X4476,X4473,X4474)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__increasing])]) ).

fof(i_0_1837,plain,
    ! [X4469,X4470,X4471,X4472] :
      ( ~ class_Rings_Olinordered__semidom(X4472)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4471,X4470)
      | ~ c_Orderings_Oord__class_Oless(X4472,c_Groups_Oone__class_Oone(X4472),X4469)
      | c_Orderings_Oord__class_Oless(X4472,c_Power_Opower__class_Opower(X4472,X4469,X4471),c_Power_Opower__class_Opower(X4472,X4469,X4470)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__increasing])]) ).

fof(i_0_1838,plain,
    ! [X4293,X4294,X4295] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4295,X4294)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4293,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4294,X4293),X4295)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__diff])]) ).

fof(i_0_1839,plain,
    ! [X3608,X3609,X3610,X3611,X3612] :
      ( ~ class_Groups_Oordered__ab__semigroup__add(X3612)
      | ~ c_Orderings_Oord__class_Oless__eq(X3612,X3611,X3610)
      | ~ c_Orderings_Oord__class_Oless__eq(X3612,X3609,X3608)
      | c_Orderings_Oord__class_Oless__eq(X3612,c_Groups_Oplus__class_Oplus(X3612,X3611,X3609),c_Groups_Oplus__class_Oplus(X3612,X3610,X3608)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__mono])]) ).

fof(i_0_1840,plain,
    ! [X3855,X3856,X3857,X3858,X3859] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3859)
      | ~ c_Orderings_Oord__class_Oless(X3859,X3858,X3857)
      | ~ c_Orderings_Oord__class_Oless__eq(X3859,X3856,X3855)
      | c_Orderings_Oord__class_Oless(X3859,c_Groups_Oplus__class_Oplus(X3859,X3858,X3856),c_Groups_Oplus__class_Oplus(X3859,X3857,X3855)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__le__mono])]) ).

fof(i_0_1841,plain,
    ! [X3850,X3851,X3852,X3853,X3854] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3854)
      | ~ c_Orderings_Oord__class_Oless__eq(X3854,X3853,X3852)
      | ~ c_Orderings_Oord__class_Oless(X3854,X3851,X3850)
      | c_Orderings_Oord__class_Oless(X3854,c_Groups_Oplus__class_Oplus(X3854,X3853,X3851),c_Groups_Oplus__class_Oplus(X3854,X3852,X3850)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__less__mono])]) ).

fof(i_0_1842,plain,
    ! [X3578,X3579,X3580,X3581,X3582] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3582)
      | ~ c_Orderings_Oord__class_Oless(X3582,X3581,X3580)
      | ~ c_Orderings_Oord__class_Oless(X3582,X3579,X3578)
      | c_Orderings_Oord__class_Oless(X3582,c_Groups_Oplus__class_Oplus(X3582,X3581,X3579),c_Groups_Oplus__class_Oplus(X3582,X3580,X3578)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__mono])]) ).

cnf(i_0_1843,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(X2)))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1409]) ).

fof(i_0_1844,plain,
    ! [X4414,X4415,X4416,X4417] :
      ( ~ class_Fields_Ofield(X4417)
      | X4416 = c_Groups_Ozero__class_Ozero(X4417)
      | c_Power_Opower__class_Opower(X4417,c_Rings_Oinverse__class_Odivide(X4417,X4415,X4416),X4414) = c_Rings_Oinverse__class_Odivide(X4417,c_Power_Opower__class_Opower(X4417,X4415,X4414),c_Power_Opower__class_Opower(X4417,X4416,X4414)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__power__divide])]) ).

fof(i_0_1845,plain,
    ! [X4610,X4611,X4612] :
      ( ( X4611 = c_Groups_Ozero__class_Ozero(X4612)
        | c_Groups_Oplus__class_Oplus(X4612,c_Groups_Otimes__class_Otimes(X4612,X4611,X4611),c_Groups_Otimes__class_Otimes(X4612,X4610,X4610)) != c_Groups_Ozero__class_Ozero(X4612)
        | ~ class_Rings_Olinordered__ring__strict(X4612) )
      & ( X4610 = c_Groups_Ozero__class_Ozero(X4612)
        | c_Groups_Oplus__class_Oplus(X4612,c_Groups_Otimes__class_Otimes(X4612,X4611,X4611),c_Groups_Otimes__class_Otimes(X4612,X4610,X4610)) != c_Groups_Ozero__class_Ozero(X4612)
        | ~ class_Rings_Olinordered__ring__strict(X4612) )
      & ( X4611 != c_Groups_Ozero__class_Ozero(X4612)
        | X4610 != c_Groups_Ozero__class_Ozero(X4612)
        | c_Groups_Oplus__class_Oplus(X4612,c_Groups_Otimes__class_Otimes(X4612,X4611,X4611),c_Groups_Otimes__class_Otimes(X4612,X4610,X4610)) = c_Groups_Ozero__class_Ozero(X4612)
        | ~ class_Rings_Olinordered__ring__strict(X4612) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__squares__eq__zero__iff])])]) ).

fof(i_0_1846,plain,
    ! [X4598,X4599,X4600,X4601] :
      ( ~ class_Rings_Ocomm__semiring(X4601)
      | c_Groups_Otimes__class_Otimes(X4601,c_Groups_Oplus__class_Oplus(X4601,X4600,X4599),X4598) = c_Groups_Oplus__class_Oplus(X4601,c_Groups_Otimes__class_Otimes(X4601,X4600,X4598),c_Groups_Otimes__class_Otimes(X4601,X4599,X4598)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__class_Odistrib])]) ).

fof(i_0_1847,plain,
    ! [X4594,X4595,X4596,X4597] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4597)
      | c_Groups_Otimes__class_Otimes(X4597,c_Groups_Oplus__class_Oplus(X4597,X4596,X4595),X4594) = c_Groups_Oplus__class_Oplus(X4597,c_Groups_Otimes__class_Otimes(X4597,X4596,X4594),c_Groups_Otimes__class_Otimes(X4597,X4595,X4594)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Oadd])]) ).

fof(i_0_1848,plain,
    ! [X4590,X4591,X4592,X4593] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4593)
      | c_Groups_Otimes__class_Otimes(X4593,c_Groups_Oplus__class_Oplus(X4593,X4592,X4591),X4590) = c_Groups_Oplus__class_Oplus(X4593,c_Groups_Otimes__class_Otimes(X4593,X4592,X4590),c_Groups_Otimes__class_Otimes(X4593,X4591,X4590)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oadd__left])]) ).

fof(i_0_1849,plain,
    ! [X4755,X4756,X4757,X4758] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4758)
      | c_Groups_Otimes__class_Otimes(X4758,c_Groups_Ominus__class_Ominus(X4758,X4757,X4756),X4755) = c_Groups_Ominus__class_Ominus(X4758,c_Groups_Otimes__class_Otimes(X4758,X4757,X4755),c_Groups_Otimes__class_Otimes(X4758,X4756,X4755)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Odiff])]) ).

fof(i_0_1850,plain,
    ! [X4751,X4752,X4753,X4754] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4754)
      | c_Groups_Otimes__class_Otimes(X4754,c_Groups_Ominus__class_Ominus(X4754,X4753,X4752),X4751) = c_Groups_Ominus__class_Ominus(X4754,c_Groups_Otimes__class_Otimes(X4754,X4753,X4751),c_Groups_Otimes__class_Otimes(X4754,X4752,X4751)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Odiff__left])]) ).

fof(i_0_1851,plain,
    ! [X4976,X4977,X4978,X4979] :
      ( ~ class_Rings_Ocomm__semiring__1(X4979)
      | c_Power_Opower__class_Opower(X4979,c_Groups_Otimes__class_Otimes(X4979,X4978,X4977),X4976) = c_Groups_Otimes__class_Otimes(X4979,c_Power_Opower__class_Opower(X4979,X4978,X4976),c_Power_Opower__class_Opower(X4979,X4977,X4976)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J])]) ).

fof(i_0_1852,plain,
    ! [X4383,X4384,X4385,X4386] :
      ( ~ class_Fields_Ofield__inverse__zero(X4386)
      | c_Power_Opower__class_Opower(X4386,c_Rings_Oinverse__class_Odivide(X4386,X4385,X4384),X4383) = c_Rings_Oinverse__class_Odivide(X4386,c_Power_Opower__class_Opower(X4386,X4385,X4383),c_Power_Opower__class_Opower(X4386,X4384,X4383)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__divide])]) ).

fof(i_0_1853,plain,
    ! [X3677,X3678,X3679,X3680] :
      ( ~ class_Rings_Odivision__ring(X3680)
      | c_Rings_Oinverse__class_Odivide(X3680,c_Groups_Oplus__class_Oplus(X3680,X3679,X3678),X3677) = c_Groups_Oplus__class_Oplus(X3680,c_Rings_Oinverse__class_Odivide(X3680,X3679,X3677),c_Rings_Oinverse__class_Odivide(X3680,X3678,X3677)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__divide__distrib])]) ).

fof(i_0_1854,plain,
    ! [X3681,X3682,X3683,X3684] :
      ( ~ class_RealVector_Oreal__normed__field(X3684)
      | c_Rings_Oinverse__class_Odivide(X3684,c_Groups_Oplus__class_Oplus(X3684,X3683,X3682),X3681) = c_Groups_Oplus__class_Oplus(X3684,c_Rings_Oinverse__class_Odivide(X3684,X3683,X3681),c_Rings_Oinverse__class_Odivide(X3684,X3682,X3681)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Oadd])]) ).

fof(i_0_1855,plain,
    ! [X2830,X2831,X2832,X2833] :
      ( ~ class_Rings_Odivision__ring(X2833)
      | c_Rings_Oinverse__class_Odivide(X2833,c_Groups_Ominus__class_Ominus(X2833,X2832,X2831),X2830) = c_Groups_Ominus__class_Ominus(X2833,c_Rings_Oinverse__class_Odivide(X2833,X2832,X2830),c_Rings_Oinverse__class_Odivide(X2833,X2831,X2830)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__divide__distrib])]) ).

fof(i_0_1856,plain,
    ! [X2646,X2647,X2648,X2649] :
      ( ~ class_RealVector_Oreal__normed__field(X2649)
      | c_Rings_Oinverse__class_Odivide(X2649,c_Groups_Ominus__class_Ominus(X2649,X2648,X2647),X2646) = c_Groups_Ominus__class_Ominus(X2649,c_Rings_Oinverse__class_Odivide(X2649,X2648,X2646),c_Rings_Oinverse__class_Odivide(X2649,X2647,X2646)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Odiff])]) ).

fof(i_0_1857,plain,
    ! [X4586,X4587,X4588,X4589] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4589)
      | c_Groups_Otimes__class_Otimes(X4589,X4588,c_Groups_Oplus__class_Oplus(X4589,X4587,X4586)) = c_Groups_Oplus__class_Oplus(X4589,c_Groups_Otimes__class_Otimes(X4589,X4588,X4587),c_Groups_Otimes__class_Otimes(X4589,X4588,X4586)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Oadd])]) ).

fof(i_0_1858,plain,
    ! [X4582,X4583,X4584,X4585] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4585)
      | c_Groups_Otimes__class_Otimes(X4585,X4584,c_Groups_Oplus__class_Oplus(X4585,X4583,X4582)) = c_Groups_Oplus__class_Oplus(X4585,c_Groups_Otimes__class_Otimes(X4585,X4584,X4583),c_Groups_Otimes__class_Otimes(X4585,X4584,X4582)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oadd__right])]) ).

fof(i_0_1859,plain,
    ! [X4747,X4748,X4749,X4750] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4750)
      | c_Groups_Otimes__class_Otimes(X4750,X4749,c_Groups_Ominus__class_Ominus(X4750,X4748,X4747)) = c_Groups_Ominus__class_Ominus(X4750,c_Groups_Otimes__class_Otimes(X4750,X4749,X4748),c_Groups_Otimes__class_Otimes(X4750,X4749,X4747)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Odiff])]) ).

fof(i_0_1860,plain,
    ! [X4743,X4744,X4745,X4746] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4746)
      | c_Groups_Otimes__class_Otimes(X4746,X4745,c_Groups_Ominus__class_Ominus(X4746,X4744,X4743)) = c_Groups_Ominus__class_Ominus(X4746,c_Groups_Otimes__class_Otimes(X4746,X4745,X4744),c_Groups_Otimes__class_Otimes(X4746,X4745,X4743)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Odiff__right])]) ).

cnf(i_0_1861,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1410]) ).

fof(i_0_1862,plain,
    ! [X4732,X4733,X4734] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4734)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4733,X4732)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4734,X4733),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4734,X4732)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__less__mono2])]) ).

fof(i_0_1863,plain,
    ! [X4180,X4181,X4182,X4183] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4183,X4182)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4181,X4180)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4183,X4181),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4182,X4180)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__mono])]) ).

fof(i_0_1864,plain,
    ! [X4148,X4149,X4150,X4151] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4151,X4150)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4149,X4148)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4151,X4149),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4150,X4148)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__mono])]) ).

fof(i_0_1865,plain,
    ! [X2929,X2930,X2931] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2931,X2930)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2929,X2931)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2931,X2929),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2930,X2929)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less__mono])]) ).

fof(i_0_1866,plain,
    ! [X3061,X3062,X3063] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3063,X3062)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3063,X3061)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3061,X3062),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3061,X3063)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less__mono2])]) ).

fof(i_0_1867,plain,
    ! [X4254,X4255,X4256,X4257] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4257,X4256)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4255,X4254)
      | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4257,X4255),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4256,X4254)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__zless__mono])]) ).

fof(i_0_1868,plain,
    ! [X4867,X4868,X4869] :
      ( ~ class_Rings_Olinordered__semiring__strict(X4869)
      | ~ c_Orderings_Oord__class_Oless(X4869,c_Groups_Ozero__class_Ozero(X4869),c_Groups_Otimes__class_Otimes(X4869,X4868,X4867))
      | ~ c_Orderings_Oord__class_Oless(X4869,c_Groups_Ozero__class_Ozero(X4869),X4867)
      | c_Orderings_Oord__class_Oless(X4869,c_Groups_Ozero__class_Ozero(X4869),X4868) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__mult__pos2])]) ).

fof(i_0_1869,plain,
    ! [X4864,X4865,X4866] :
      ( ~ class_Rings_Olinordered__semiring__strict(X4866)
      | ~ c_Orderings_Oord__class_Oless(X4866,c_Groups_Ozero__class_Ozero(X4866),c_Groups_Otimes__class_Otimes(X4866,X4865,X4864))
      | ~ c_Orderings_Oord__class_Oless(X4866,c_Groups_Ozero__class_Ozero(X4866),X4865)
      | c_Orderings_Oord__class_Oless(X4866,c_Groups_Ozero__class_Ozero(X4866),X4864) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__mult__pos])]) ).

fof(i_0_1870,plain,
    ! [X3736,X3737] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3737,X3736)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3737),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X3736)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3737),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X3736))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3737,X3736) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__real__le])]) ).

fof(i_0_1871,plain,
    ! [X3738,X3739] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3739,X3738)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3739),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3738),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3739),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3738),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3739,X3738) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__le__real__less])]) ).

fof(i_0_1872,plain,
    ! [X3513,X3514,X3515,X3516] :
      ( ~ class_Rings_Ocomm__semiring__1(X3516)
      | hAPP(c_Polynomial_Opoly(X3516,c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X3516),X3515,X3514)),X3513) = c_Power_Opower__class_Opower(X3516,hAPP(c_Polynomial_Opoly(X3516,X3515),X3513),X3514) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__power])]) ).

fof(i_0_1873,plain,
    ! [X4735,X4736] :
      ( ( X4736 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4736,X4736),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4735,X4735)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X4735 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4736,X4736),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4735,X4735)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X4736 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X4735 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4736,X4736),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4735,X4735)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__two__squares__add__zero__iff])])]) ).

fof(i_0_1874,plain,
    ! [X4607,X4608,X4609] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4609,X4608),X4607) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4609,X4607),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4608,X4607)),
    inference(variable_rename,[status(thm)],[fact_real__add__mult__distrib]) ).

cnf(i_0_1875,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(X1)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1362]) ).

cnf(i_0_1876,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X1)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X1)),
    inference(split_conjunct,[status(thm)],[i_0_1411]) ).

cnf(i_0_1877,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X2),X1) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1412]) ).

fof(i_0_1878,plain,
    ! [X4296,X4297,X4298] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4298,X4297),X4296)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4298,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4296,X4297)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4298,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4296,X4297))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4298,X4297),X4296) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__diff__conv])]) ).

fof(i_0_1879,plain,
    ! [X4268,X4269,X4270] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4270,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4269,X4268))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4270,X4268),X4269) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4270,X4268),X4269)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4270,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4269,X4268)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__diff__conv])]) ).

fof(i_0_1880,plain,
    ! [X4274,X4275,X4276] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4276,X4275)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4275,X4276),X4274) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4275,X4274),X4276) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__assoc2])]) ).

fof(i_0_1881,plain,
    ! [X4271,X4272,X4273] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4273,X4272)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4272,X4271),X4273) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4272,X4273),X4271) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__assoc2])]) ).

fof(i_0_1882,plain,
    ! [X4277,X4278,X4279] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4279,X4278)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4277,X4278),X4279) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4277,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4278,X4279)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__assoc])]) ).

fof(i_0_1883,plain,
    ! [X4288,X4289,X4290] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4290,X4289)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4288,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4289,X4290)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4288,X4289),X4290) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__assoc])]) ).

fof(i_0_1884,plain,
    ! [X4299,X4300,X4301] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4301,X4300)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4299,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4300,X4301)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4299,X4301),X4300) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__diff__right])]) ).

fof(i_0_1885,plain,
    ! [X3427,X3428,X3429] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3429),v_r)
        | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3429)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3428)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3427,X3428)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3427,esk17_0) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk19_1(X3427)),v_r)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3427,esk17_0) )
      & ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk19_1(X3427))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk18_1(X3427))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3427,esk17_0) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3427,esk18_1(X3427))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3427,esk17_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096])])])])]) ).

fof(i_0_1886,plain,
    ! [X3390,X3391,X3392,X3393] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3392),v_r)
        | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3392)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3391)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3390,X3391)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3390,v_s____) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk11_1(X3393)),v_r)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3393,v_s____) )
      & ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk11_1(X3393))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk10_1(X3393))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3393,v_s____) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3393,esk10_1(X3393))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3393,v_s____) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_s])])])])])]) ).

fof(i_0_1887,plain,
    ! [X4482,X4483] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X4483,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4482)))
        | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4482) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4483) )
      & ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4482) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X4483,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4482))) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4483)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X4483,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4482))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power__nat__eq__number__of])])]) ).

fof(i_0_1888,plain,
    ! [X4951,X4952,X4953] :
      ( ( c_Orderings_Oord__class_Oless__eq(X4953,X4952,c_Groups_Ozero__class_Ozero(X4953))
        | c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Ozero__class_Ozero(X4953),X4952)
        | ~ c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Otimes__class_Otimes(X4953,X4952,X4951),c_Groups_Ozero__class_Ozero(X4953))
        | ~ class_Rings_Olinordered__ring__strict(X4953) )
      & ( c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Ozero__class_Ozero(X4953),X4951)
        | c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Ozero__class_Ozero(X4953),X4952)
        | ~ c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Otimes__class_Otimes(X4953,X4952,X4951),c_Groups_Ozero__class_Ozero(X4953))
        | ~ class_Rings_Olinordered__ring__strict(X4953) )
      & ( c_Orderings_Oord__class_Oless__eq(X4953,X4952,c_Groups_Ozero__class_Ozero(X4953))
        | c_Orderings_Oord__class_Oless__eq(X4953,X4951,c_Groups_Ozero__class_Ozero(X4953))
        | ~ c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Otimes__class_Otimes(X4953,X4952,X4951),c_Groups_Ozero__class_Ozero(X4953))
        | ~ class_Rings_Olinordered__ring__strict(X4953) )
      & ( c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Ozero__class_Ozero(X4953),X4951)
        | c_Orderings_Oord__class_Oless__eq(X4953,X4951,c_Groups_Ozero__class_Ozero(X4953))
        | ~ c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Otimes__class_Otimes(X4953,X4952,X4951),c_Groups_Ozero__class_Ozero(X4953))
        | ~ class_Rings_Olinordered__ring__strict(X4953) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Ozero__class_Ozero(X4953),X4952)
        | ~ c_Orderings_Oord__class_Oless__eq(X4953,X4951,c_Groups_Ozero__class_Ozero(X4953))
        | c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Otimes__class_Otimes(X4953,X4952,X4951),c_Groups_Ozero__class_Ozero(X4953))
        | ~ class_Rings_Olinordered__ring__strict(X4953) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X4953,X4952,c_Groups_Ozero__class_Ozero(X4953))
        | ~ c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Ozero__class_Ozero(X4953),X4951)
        | c_Orderings_Oord__class_Oless__eq(X4953,c_Groups_Otimes__class_Otimes(X4953,X4952,X4951),c_Groups_Ozero__class_Ozero(X4953))
        | ~ class_Rings_Olinordered__ring__strict(X4953) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__0__iff])])]) ).

fof(i_0_1889,plain,
    ! [X2990,X2991,X2992] :
      ( ( c_Orderings_Oord__class_Oless__eq(X2992,X2991,c_Groups_Ozero__class_Ozero(X2992))
        | c_Orderings_Oord__class_Oless__eq(X2992,c_Groups_Ozero__class_Ozero(X2992),X2991)
        | ~ c_Orderings_Oord__class_Oless__eq(X2992,c_Rings_Oinverse__class_Odivide(X2992,X2991,X2990),c_Groups_Ozero__class_Ozero(X2992))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2992) )
      & ( c_Orderings_Oord__class_Oless__eq(X2992,c_Groups_Ozero__class_Ozero(X2992),X2990)
        | c_Orderings_Oord__class_Oless__eq(X2992,c_Groups_Ozero__class_Ozero(X2992),X2991)
        | ~ c_Orderings_Oord__class_Oless__eq(X2992,c_Rings_Oinverse__class_Odivide(X2992,X2991,X2990),c_Groups_Ozero__class_Ozero(X2992))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2992) )
      & ( c_Orderings_Oord__class_Oless__eq(X2992,X2991,c_Groups_Ozero__class_Ozero(X2992))
        | c_Orderings_Oord__class_Oless__eq(X2992,X2990,c_Groups_Ozero__class_Ozero(X2992))
        | ~ c_Orderings_Oord__class_Oless__eq(X2992,c_Rings_Oinverse__class_Odivide(X2992,X2991,X2990),c_Groups_Ozero__class_Ozero(X2992))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2992) )
      & ( c_Orderings_Oord__class_Oless__eq(X2992,c_Groups_Ozero__class_Ozero(X2992),X2990)
        | c_Orderings_Oord__class_Oless__eq(X2992,X2990,c_Groups_Ozero__class_Ozero(X2992))
        | ~ c_Orderings_Oord__class_Oless__eq(X2992,c_Rings_Oinverse__class_Odivide(X2992,X2991,X2990),c_Groups_Ozero__class_Ozero(X2992))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2992) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2992,c_Groups_Ozero__class_Ozero(X2992),X2991)
        | ~ c_Orderings_Oord__class_Oless__eq(X2992,X2990,c_Groups_Ozero__class_Ozero(X2992))
        | c_Orderings_Oord__class_Oless__eq(X2992,c_Rings_Oinverse__class_Odivide(X2992,X2991,X2990),c_Groups_Ozero__class_Ozero(X2992))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2992) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2992,X2991,c_Groups_Ozero__class_Ozero(X2992))
        | ~ c_Orderings_Oord__class_Oless__eq(X2992,c_Groups_Ozero__class_Ozero(X2992),X2990)
        | c_Orderings_Oord__class_Oless__eq(X2992,c_Rings_Oinverse__class_Odivide(X2992,X2991,X2990),c_Groups_Ozero__class_Ozero(X2992))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2992) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__le__0__iff])])]) ).

fof(i_0_1890,plain,
    ! [X2697,X2698,X2699] :
      ( ( c_Orderings_Oord__class_Oless(X2699,X2698,c_Groups_Ozero__class_Ozero(X2699))
        | c_Orderings_Oord__class_Oless(X2699,c_Groups_Ozero__class_Ozero(X2699),X2698)
        | ~ c_Orderings_Oord__class_Oless(X2699,c_Rings_Oinverse__class_Odivide(X2699,X2698,X2697),c_Groups_Ozero__class_Ozero(X2699))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2699) )
      & ( c_Orderings_Oord__class_Oless(X2699,c_Groups_Ozero__class_Ozero(X2699),X2697)
        | c_Orderings_Oord__class_Oless(X2699,c_Groups_Ozero__class_Ozero(X2699),X2698)
        | ~ c_Orderings_Oord__class_Oless(X2699,c_Rings_Oinverse__class_Odivide(X2699,X2698,X2697),c_Groups_Ozero__class_Ozero(X2699))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2699) )
      & ( c_Orderings_Oord__class_Oless(X2699,X2698,c_Groups_Ozero__class_Ozero(X2699))
        | c_Orderings_Oord__class_Oless(X2699,X2697,c_Groups_Ozero__class_Ozero(X2699))
        | ~ c_Orderings_Oord__class_Oless(X2699,c_Rings_Oinverse__class_Odivide(X2699,X2698,X2697),c_Groups_Ozero__class_Ozero(X2699))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2699) )
      & ( c_Orderings_Oord__class_Oless(X2699,c_Groups_Ozero__class_Ozero(X2699),X2697)
        | c_Orderings_Oord__class_Oless(X2699,X2697,c_Groups_Ozero__class_Ozero(X2699))
        | ~ c_Orderings_Oord__class_Oless(X2699,c_Rings_Oinverse__class_Odivide(X2699,X2698,X2697),c_Groups_Ozero__class_Ozero(X2699))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2699) )
      & ( ~ c_Orderings_Oord__class_Oless(X2699,c_Groups_Ozero__class_Ozero(X2699),X2698)
        | ~ c_Orderings_Oord__class_Oless(X2699,X2697,c_Groups_Ozero__class_Ozero(X2699))
        | c_Orderings_Oord__class_Oless(X2699,c_Rings_Oinverse__class_Odivide(X2699,X2698,X2697),c_Groups_Ozero__class_Ozero(X2699))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2699) )
      & ( ~ c_Orderings_Oord__class_Oless(X2699,X2698,c_Groups_Ozero__class_Ozero(X2699))
        | ~ c_Orderings_Oord__class_Oless(X2699,c_Groups_Ozero__class_Ozero(X2699),X2697)
        | c_Orderings_Oord__class_Oless(X2699,c_Rings_Oinverse__class_Odivide(X2699,X2698,X2697),c_Groups_Ozero__class_Ozero(X2699))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2699) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__less__0__iff])])]) ).

fof(i_0_1891,plain,
    ! [X4954,X4955,X4956] :
      ( ( c_Orderings_Oord__class_Oless__eq(X4956,X4955,c_Groups_Ozero__class_Ozero(X4956))
        | c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),X4955)
        | ~ c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),c_Groups_Otimes__class_Otimes(X4956,X4955,X4954))
        | ~ class_Rings_Olinordered__ring__strict(X4956) )
      & ( c_Orderings_Oord__class_Oless__eq(X4956,X4954,c_Groups_Ozero__class_Ozero(X4956))
        | c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),X4955)
        | ~ c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),c_Groups_Otimes__class_Otimes(X4956,X4955,X4954))
        | ~ class_Rings_Olinordered__ring__strict(X4956) )
      & ( c_Orderings_Oord__class_Oless__eq(X4956,X4955,c_Groups_Ozero__class_Ozero(X4956))
        | c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),X4954)
        | ~ c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),c_Groups_Otimes__class_Otimes(X4956,X4955,X4954))
        | ~ class_Rings_Olinordered__ring__strict(X4956) )
      & ( c_Orderings_Oord__class_Oless__eq(X4956,X4954,c_Groups_Ozero__class_Ozero(X4956))
        | c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),X4954)
        | ~ c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),c_Groups_Otimes__class_Otimes(X4956,X4955,X4954))
        | ~ class_Rings_Olinordered__ring__strict(X4956) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),X4955)
        | ~ c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),X4954)
        | c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),c_Groups_Otimes__class_Otimes(X4956,X4955,X4954))
        | ~ class_Rings_Olinordered__ring__strict(X4956) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X4956,X4955,c_Groups_Ozero__class_Ozero(X4956))
        | ~ c_Orderings_Oord__class_Oless__eq(X4956,X4954,c_Groups_Ozero__class_Ozero(X4956))
        | c_Orderings_Oord__class_Oless__eq(X4956,c_Groups_Ozero__class_Ozero(X4956),c_Groups_Otimes__class_Otimes(X4956,X4955,X4954))
        | ~ class_Rings_Olinordered__ring__strict(X4956) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__mult__iff])])]) ).

fof(i_0_1892,plain,
    ! [X2993,X2994,X2995] :
      ( ( c_Orderings_Oord__class_Oless__eq(X2995,X2994,c_Groups_Ozero__class_Ozero(X2995))
        | c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),X2994)
        | ~ c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),c_Rings_Oinverse__class_Odivide(X2995,X2994,X2993))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2995) )
      & ( c_Orderings_Oord__class_Oless__eq(X2995,X2993,c_Groups_Ozero__class_Ozero(X2995))
        | c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),X2994)
        | ~ c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),c_Rings_Oinverse__class_Odivide(X2995,X2994,X2993))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2995) )
      & ( c_Orderings_Oord__class_Oless__eq(X2995,X2994,c_Groups_Ozero__class_Ozero(X2995))
        | c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),X2993)
        | ~ c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),c_Rings_Oinverse__class_Odivide(X2995,X2994,X2993))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2995) )
      & ( c_Orderings_Oord__class_Oless__eq(X2995,X2993,c_Groups_Ozero__class_Ozero(X2995))
        | c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),X2993)
        | ~ c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),c_Rings_Oinverse__class_Odivide(X2995,X2994,X2993))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2995) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),X2994)
        | ~ c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),X2993)
        | c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),c_Rings_Oinverse__class_Odivide(X2995,X2994,X2993))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2995) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2995,X2994,c_Groups_Ozero__class_Ozero(X2995))
        | ~ c_Orderings_Oord__class_Oless__eq(X2995,X2993,c_Groups_Ozero__class_Ozero(X2995))
        | c_Orderings_Oord__class_Oless__eq(X2995,c_Groups_Ozero__class_Ozero(X2995),c_Rings_Oinverse__class_Odivide(X2995,X2994,X2993))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2995) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__divide__iff])])]) ).

fof(i_0_1893,plain,
    ! [X2700,X2701,X2702] :
      ( ( c_Orderings_Oord__class_Oless(X2702,X2701,c_Groups_Ozero__class_Ozero(X2702))
        | c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),X2701)
        | ~ c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),c_Rings_Oinverse__class_Odivide(X2702,X2701,X2700))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2702) )
      & ( c_Orderings_Oord__class_Oless(X2702,X2700,c_Groups_Ozero__class_Ozero(X2702))
        | c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),X2701)
        | ~ c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),c_Rings_Oinverse__class_Odivide(X2702,X2701,X2700))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2702) )
      & ( c_Orderings_Oord__class_Oless(X2702,X2701,c_Groups_Ozero__class_Ozero(X2702))
        | c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),X2700)
        | ~ c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),c_Rings_Oinverse__class_Odivide(X2702,X2701,X2700))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2702) )
      & ( c_Orderings_Oord__class_Oless(X2702,X2700,c_Groups_Ozero__class_Ozero(X2702))
        | c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),X2700)
        | ~ c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),c_Rings_Oinverse__class_Odivide(X2702,X2701,X2700))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2702) )
      & ( ~ c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),X2701)
        | ~ c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),X2700)
        | c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),c_Rings_Oinverse__class_Odivide(X2702,X2701,X2700))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2702) )
      & ( ~ c_Orderings_Oord__class_Oless(X2702,X2701,c_Groups_Ozero__class_Ozero(X2702))
        | ~ c_Orderings_Oord__class_Oless(X2702,X2700,c_Groups_Ozero__class_Ozero(X2702))
        | c_Orderings_Oord__class_Oless(X2702,c_Groups_Ozero__class_Ozero(X2702),c_Rings_Oinverse__class_Odivide(X2702,X2701,X2700))
        | ~ class_Fields_Olinordered__field__inverse__zero(X2702) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__divide__iff])])]) ).

fof(i_0_1894,plain,
    ! [X4737,X4738] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4738,X4738)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4737,X4737)),
    inference(variable_rename,[status(thm)],[fact_real__minus__mult__self__le]) ).

cnf(i_0_1895,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[fact_numeral__1__eq__Suc__0]) ).

cnf(i_0_1896,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(X2)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X2)),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1413]) ).

cnf(i_0_1897,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))),
    inference(split_conjunct,[status(thm)],[i_0_1414]) ).

cnf(i_0_1898,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))),
    inference(split_conjunct,[status(thm)],[i_0_1415]) ).

cnf(i_0_1899,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 = c_Nat_OSuc(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1416]) ).

cnf(i_0_1900,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 = c_Nat_OSuc(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1417]) ).

fof(i_0_1901,plain,
    ! [X4939,X4940,X4941] :
      ( ~ class_Rings_Oordered__cancel__semiring(X4941)
      | ~ c_Orderings_Oord__class_Oless__eq(X4941,X4940,c_Groups_Ozero__class_Ozero(X4941))
      | ~ c_Orderings_Oord__class_Oless__eq(X4941,c_Groups_Ozero__class_Ozero(X4941),X4939)
      | c_Orderings_Oord__class_Oless__eq(X4941,c_Groups_Otimes__class_Otimes(X4941,X4940,X4939),c_Groups_Ozero__class_Ozero(X4941)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonpos__nonneg])]) ).

fof(i_0_1902,plain,
    ! [X4900,X4901,X4902] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X4902,c_Groups_Ozero__class_Ozero(X4902),X4901)
        | ~ c_Orderings_Oord__class_Oless__eq(X4902,X4900,c_Groups_Ozero__class_Ozero(X4902))
        | c_Orderings_Oord__class_Oless__eq(X4902,c_Groups_Otimes__class_Otimes(X4902,X4901,X4900),c_Groups_Ozero__class_Ozero(X4902))
        | ~ class_Rings_Oordered__cancel__semiring(X4902) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X4902,X4901,c_Groups_Ozero__class_Ozero(X4902))
        | ~ c_Orderings_Oord__class_Oless__eq(X4902,c_Groups_Ozero__class_Ozero(X4902),X4900)
        | c_Orderings_Oord__class_Oless__eq(X4902,c_Groups_Otimes__class_Otimes(X4902,X4901,X4900),c_Groups_Ozero__class_Ozero(X4902))
        | ~ class_Rings_Oordered__cancel__semiring(X4902) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__mult__neg__le])])]) ).

fof(i_0_1903,plain,
    ! [X4945,X4946,X4947] :
      ( ~ class_Rings_Oordered__cancel__semiring(X4947)
      | ~ c_Orderings_Oord__class_Oless__eq(X4947,c_Groups_Ozero__class_Ozero(X4947),X4946)
      | ~ c_Orderings_Oord__class_Oless__eq(X4947,X4945,c_Groups_Ozero__class_Ozero(X4947))
      | c_Orderings_Oord__class_Oless__eq(X4947,c_Groups_Otimes__class_Otimes(X4947,X4946,X4945),c_Groups_Ozero__class_Ozero(X4947)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonpos])]) ).

fof(i_0_1904,plain,
    ! [X4942,X4943,X4944] :
      ( ~ class_Rings_Oordered__cancel__semiring(X4944)
      | ~ c_Orderings_Oord__class_Oless__eq(X4944,c_Groups_Ozero__class_Ozero(X4944),X4943)
      | ~ c_Orderings_Oord__class_Oless__eq(X4944,X4942,c_Groups_Ozero__class_Ozero(X4944))
      | c_Orderings_Oord__class_Oless__eq(X4944,c_Groups_Otimes__class_Otimes(X4944,X4942,X4943),c_Groups_Ozero__class_Ozero(X4944)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonpos2])]) ).

fof(i_0_1905,plain,
    ! [X3025,X3026,X3027] :
      ( ~ class_Fields_Olinordered__field(X3027)
      | ~ c_Orderings_Oord__class_Oless__eq(X3027,X3026,c_Groups_Ozero__class_Ozero(X3027))
      | ~ c_Orderings_Oord__class_Oless(X3027,c_Groups_Ozero__class_Ozero(X3027),X3025)
      | c_Orderings_Oord__class_Oless__eq(X3027,c_Rings_Oinverse__class_Odivide(X3027,X3026,X3025),c_Groups_Ozero__class_Ozero(X3027)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__nonpos__pos])]) ).

fof(i_0_1906,plain,
    ! [X3043,X3044,X3045] :
      ( ~ class_Fields_Olinordered__field(X3045)
      | ~ c_Orderings_Oord__class_Oless__eq(X3045,c_Groups_Ozero__class_Ozero(X3045),X3044)
      | ~ c_Orderings_Oord__class_Oless(X3045,X3043,c_Groups_Ozero__class_Ozero(X3045))
      | c_Orderings_Oord__class_Oless__eq(X3045,c_Rings_Oinverse__class_Odivide(X3045,X3044,X3043),c_Groups_Ozero__class_Ozero(X3045)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__nonneg__neg])]) ).

fof(i_0_1907,plain,
    ! [X4874,X4875,X4876] :
      ( ~ class_Rings_Olinordered__semiring__strict(X4876)
      | ~ c_Orderings_Oord__class_Oless(X4876,X4875,c_Groups_Ozero__class_Ozero(X4876))
      | ~ c_Orderings_Oord__class_Oless(X4876,c_Groups_Ozero__class_Ozero(X4876),X4874)
      | c_Orderings_Oord__class_Oless(X4876,c_Groups_Otimes__class_Otimes(X4876,X4875,X4874),c_Groups_Ozero__class_Ozero(X4876)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__neg__pos])]) ).

fof(i_0_1908,plain,
    ! [X4858,X4859,X4860] :
      ( ~ class_Rings_Olinordered__semiring__strict(X4860)
      | ~ c_Orderings_Oord__class_Oless(X4860,c_Groups_Ozero__class_Ozero(X4860),X4859)
      | ~ c_Orderings_Oord__class_Oless(X4860,X4858,c_Groups_Ozero__class_Ozero(X4860))
      | c_Orderings_Oord__class_Oless(X4860,c_Groups_Otimes__class_Otimes(X4860,X4859,X4858),c_Groups_Ozero__class_Ozero(X4860)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__neg])]) ).

fof(i_0_1909,plain,
    ! [X4861,X4862,X4863] :
      ( ~ class_Rings_Olinordered__semiring__strict(X4863)
      | ~ c_Orderings_Oord__class_Oless(X4863,c_Groups_Ozero__class_Ozero(X4863),X4862)
      | ~ c_Orderings_Oord__class_Oless(X4863,X4861,c_Groups_Ozero__class_Ozero(X4863))
      | c_Orderings_Oord__class_Oless(X4863,c_Groups_Otimes__class_Otimes(X4863,X4861,X4862),c_Groups_Ozero__class_Ozero(X4863)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__neg2])]) ).

fof(i_0_1910,plain,
    ! [X2688,X2689,X2690] :
      ( ~ class_Fields_Olinordered__field(X2690)
      | ~ c_Orderings_Oord__class_Oless(X2690,X2689,c_Groups_Ozero__class_Ozero(X2690))
      | ~ c_Orderings_Oord__class_Oless(X2690,c_Groups_Ozero__class_Ozero(X2690),X2688)
      | c_Orderings_Oord__class_Oless(X2690,c_Rings_Oinverse__class_Odivide(X2690,X2689,X2688),c_Groups_Ozero__class_Ozero(X2690)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__neg__pos])]) ).

fof(i_0_1911,plain,
    ! [X2691,X2692,X2693] :
      ( ~ class_Fields_Olinordered__field(X2693)
      | ~ c_Orderings_Oord__class_Oless(X2693,c_Groups_Ozero__class_Ozero(X2693),X2692)
      | ~ c_Orderings_Oord__class_Oless(X2693,X2691,c_Groups_Ozero__class_Ozero(X2693))
      | c_Orderings_Oord__class_Oless(X2693,c_Rings_Oinverse__class_Odivide(X2693,X2692,X2691),c_Groups_Ozero__class_Ozero(X2693)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__pos__neg])]) ).

fof(i_0_1912,plain,
    ! [X3811,X3812,X3813] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3813)
      | ~ c_Orderings_Oord__class_Oless__eq(X3813,X3812,c_Groups_Ozero__class_Ozero(X3813))
      | ~ c_Orderings_Oord__class_Oless__eq(X3813,X3811,c_Groups_Ozero__class_Ozero(X3813))
      | c_Orderings_Oord__class_Oless__eq(X3813,c_Groups_Oplus__class_Oplus(X3813,X3812,X3811),c_Groups_Ozero__class_Ozero(X3813)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonpos__nonpos])]) ).

fof(i_0_1913,plain,
    ! [X3983,X3984,X3985] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3985)
      | ~ c_Orderings_Oord__class_Oless(X3985,X3984,c_Groups_Ozero__class_Ozero(X3985))
      | ~ c_Orderings_Oord__class_Oless__eq(X3985,X3983,c_Groups_Ozero__class_Ozero(X3985))
      | c_Orderings_Oord__class_Oless(X3985,c_Groups_Oplus__class_Oplus(X3985,X3984,X3983),c_Groups_Ozero__class_Ozero(X3985)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__neg__nonpos])]) ).

fof(i_0_1914,plain,
    ! [X3986,X3987,X3988] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3988)
      | ~ c_Orderings_Oord__class_Oless__eq(X3988,X3987,c_Groups_Ozero__class_Ozero(X3988))
      | ~ c_Orderings_Oord__class_Oless(X3988,X3986,c_Groups_Ozero__class_Ozero(X3988))
      | c_Orderings_Oord__class_Oless(X3988,c_Groups_Oplus__class_Oplus(X3988,X3987,X3986),c_Groups_Ozero__class_Ozero(X3988)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonpos__neg])]) ).

fof(i_0_1915,plain,
    ! [X3843,X3844,X3845] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3845)
      | ~ c_Orderings_Oord__class_Oless(X3845,X3844,c_Groups_Ozero__class_Ozero(X3845))
      | ~ c_Orderings_Oord__class_Oless(X3845,X3843,c_Groups_Ozero__class_Ozero(X3845))
      | c_Orderings_Oord__class_Oless(X3845,c_Groups_Oplus__class_Oplus(X3845,X3844,X3843),c_Groups_Ozero__class_Ozero(X3845)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__neg__neg])]) ).

fof(i_0_1916,plain,
    ! [X4903,X4904,X4905] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X4905,c_Groups_Ozero__class_Ozero(X4905),X4904)
        | ~ c_Orderings_Oord__class_Oless__eq(X4905,c_Groups_Ozero__class_Ozero(X4905),X4903)
        | c_Orderings_Oord__class_Oless__eq(X4905,c_Groups_Ozero__class_Ozero(X4905),c_Groups_Otimes__class_Otimes(X4905,X4904,X4903))
        | ~ class_Rings_Oordered__ring(X4905) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X4905,X4904,c_Groups_Ozero__class_Ozero(X4905))
        | ~ c_Orderings_Oord__class_Oless__eq(X4905,X4903,c_Groups_Ozero__class_Ozero(X4905))
        | c_Orderings_Oord__class_Oless__eq(X4905,c_Groups_Ozero__class_Ozero(X4905),c_Groups_Otimes__class_Otimes(X4905,X4904,X4903))
        | ~ class_Rings_Oordered__ring(X4905) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__mult__pos__le])])]) ).

fof(i_0_1917,plain,
    ! [X4948,X4949,X4950] :
      ( ~ class_Rings_Oordered__cancel__semiring(X4950)
      | ~ c_Orderings_Oord__class_Oless__eq(X4950,c_Groups_Ozero__class_Ozero(X4950),X4949)
      | ~ c_Orderings_Oord__class_Oless__eq(X4950,c_Groups_Ozero__class_Ozero(X4950),X4948)
      | c_Orderings_Oord__class_Oless__eq(X4950,c_Groups_Ozero__class_Ozero(X4950),c_Groups_Otimes__class_Otimes(X4950,X4949,X4948)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonneg])]) ).

fof(i_0_1918,plain,
    ! [X3825,X3826,X3827] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3827)
      | ~ c_Orderings_Oord__class_Oless__eq(X3827,c_Groups_Ozero__class_Ozero(X3827),X3826)
      | ~ c_Orderings_Oord__class_Oless__eq(X3827,c_Groups_Ozero__class_Ozero(X3827),X3825)
      | c_Orderings_Oord__class_Oless__eq(X3827,c_Groups_Ozero__class_Ozero(X3827),c_Groups_Oplus__class_Oplus(X3827,X3826,X3825)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__nonneg])]) ).

fof(i_0_1919,plain,
    ! [X3046,X3047,X3048] :
      ( ~ class_Fields_Olinordered__field(X3048)
      | ~ c_Orderings_Oord__class_Oless__eq(X3048,c_Groups_Ozero__class_Ozero(X3048),X3047)
      | ~ c_Orderings_Oord__class_Oless(X3048,c_Groups_Ozero__class_Ozero(X3048),X3046)
      | c_Orderings_Oord__class_Oless__eq(X3048,c_Groups_Ozero__class_Ozero(X3048),c_Rings_Oinverse__class_Odivide(X3048,X3047,X3046)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__nonneg__pos])]) ).

fof(i_0_1920,plain,
    ! [X4641,X4642,X4643] :
      ( ~ class_Rings_Olinordered__semidom(X4643)
      | ~ c_Orderings_Oord__class_Oless(X4643,c_Groups_Oone__class_Oone(X4643),X4642)
      | ~ c_Orderings_Oord__class_Oless(X4643,c_Groups_Oone__class_Oone(X4643),X4641)
      | c_Orderings_Oord__class_Oless(X4643,c_Groups_Oone__class_Oone(X4643),c_Groups_Otimes__class_Otimes(X4643,X4642,X4641)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__1__mult])]) ).

fof(i_0_1921,plain,
    ! [X4855,X4856,X4857] :
      ( ~ class_Rings_Olinordered__semiring__strict(X4857)
      | ~ c_Orderings_Oord__class_Oless(X4857,c_Groups_Ozero__class_Ozero(X4857),X4856)
      | ~ c_Orderings_Oord__class_Oless(X4857,c_Groups_Ozero__class_Ozero(X4857),X4855)
      | c_Orderings_Oord__class_Oless(X4857,c_Groups_Ozero__class_Ozero(X4857),c_Groups_Otimes__class_Otimes(X4857,X4856,X4855)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__pos])]) ).

fof(i_0_1922,plain,
    ! [X3969,X3970,X3971] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3971)
      | ~ c_Orderings_Oord__class_Oless(X3971,c_Groups_Ozero__class_Ozero(X3971),X3970)
      | ~ c_Orderings_Oord__class_Oless__eq(X3971,c_Groups_Ozero__class_Ozero(X3971),X3969)
      | c_Orderings_Oord__class_Oless(X3971,c_Groups_Ozero__class_Ozero(X3971),c_Groups_Oplus__class_Oplus(X3971,X3970,X3969)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__pos__nonneg])]) ).

fof(i_0_1923,plain,
    ! [X3972,X3973,X3974] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3974)
      | ~ c_Orderings_Oord__class_Oless__eq(X3974,c_Groups_Ozero__class_Ozero(X3974),X3973)
      | ~ c_Orderings_Oord__class_Oless(X3974,c_Groups_Ozero__class_Ozero(X3974),X3972)
      | c_Orderings_Oord__class_Oless(X3974,c_Groups_Ozero__class_Ozero(X3974),c_Groups_Oplus__class_Oplus(X3974,X3973,X3972)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__pos])]) ).

fof(i_0_1924,plain,
    ! [X3836,X3837,X3838] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3838)
      | ~ c_Orderings_Oord__class_Oless(X3838,c_Groups_Ozero__class_Ozero(X3838),X3837)
      | ~ c_Orderings_Oord__class_Oless(X3838,c_Groups_Ozero__class_Ozero(X3838),X3836)
      | c_Orderings_Oord__class_Oless(X3838,c_Groups_Ozero__class_Ozero(X3838),c_Groups_Oplus__class_Oplus(X3838,X3837,X3836)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__pos__pos])]) ).

fof(i_0_1925,plain,
    ! [X2694,X2695,X2696] :
      ( ~ class_Fields_Olinordered__field(X2696)
      | ~ c_Orderings_Oord__class_Oless(X2696,c_Groups_Ozero__class_Ozero(X2696),X2695)
      | ~ c_Orderings_Oord__class_Oless(X2696,c_Groups_Ozero__class_Ozero(X2696),X2694)
      | c_Orderings_Oord__class_Oless(X2696,c_Groups_Ozero__class_Ozero(X2696),c_Rings_Oinverse__class_Odivide(X2696,X2695,X2694)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__pos__pos])]) ).

fof(i_0_1926,plain,
    ! [X4936,X4937,X4938] :
      ( ~ class_Rings_Oordered__ring(X4938)
      | ~ c_Orderings_Oord__class_Oless__eq(X4938,X4937,c_Groups_Ozero__class_Ozero(X4938))
      | ~ c_Orderings_Oord__class_Oless__eq(X4938,X4936,c_Groups_Ozero__class_Ozero(X4938))
      | c_Orderings_Oord__class_Oless__eq(X4938,c_Groups_Ozero__class_Ozero(X4938),c_Groups_Otimes__class_Otimes(X4938,X4937,X4936)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonpos__nonpos])]) ).

fof(i_0_1927,plain,
    ! [X3022,X3023,X3024] :
      ( ~ class_Fields_Olinordered__field(X3024)
      | ~ c_Orderings_Oord__class_Oless__eq(X3024,X3023,c_Groups_Ozero__class_Ozero(X3024))
      | ~ c_Orderings_Oord__class_Oless(X3024,X3022,c_Groups_Ozero__class_Ozero(X3024))
      | c_Orderings_Oord__class_Oless__eq(X3024,c_Groups_Ozero__class_Ozero(X3024),c_Rings_Oinverse__class_Odivide(X3024,X3023,X3022)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__nonpos__neg])]) ).

fof(i_0_1928,plain,
    ! [X4877,X4878,X4879] :
      ( ~ class_Rings_Olinordered__ring__strict(X4879)
      | ~ c_Orderings_Oord__class_Oless(X4879,X4878,c_Groups_Ozero__class_Ozero(X4879))
      | ~ c_Orderings_Oord__class_Oless(X4879,X4877,c_Groups_Ozero__class_Ozero(X4879))
      | c_Orderings_Oord__class_Oless(X4879,c_Groups_Ozero__class_Ozero(X4879),c_Groups_Otimes__class_Otimes(X4879,X4878,X4877)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__neg__neg])]) ).

fof(i_0_1929,plain,
    ! [X2685,X2686,X2687] :
      ( ~ class_Fields_Olinordered__field(X2687)
      | ~ c_Orderings_Oord__class_Oless(X2687,X2686,c_Groups_Ozero__class_Ozero(X2687))
      | ~ c_Orderings_Oord__class_Oless(X2687,X2685,c_Groups_Ozero__class_Ozero(X2687))
      | c_Orderings_Oord__class_Oless(X2687,c_Groups_Ozero__class_Ozero(X2687),c_Rings_Oinverse__class_Odivide(X2687,X2686,X2685)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__neg__neg])]) ).

fof(i_0_1930,plain,
    ! [X3476,X3477,X3479] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X3476,X3477))
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3479),X3477)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3476),X3479)),esk22_2(X3476,X3477)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__bound__exists])])])]) ).

fof(i_0_1931,plain,
    ! [X4239,X4240] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4240,X4239))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4240)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4239) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4240)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4240,X4239)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4239)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4240,X4239)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__gr__0])])]) ).

fof(i_0_1932,plain,
    ! [X3147,X3148] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3148,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3147)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3148,X3147)) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3148)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3147,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3148,X3147)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3148)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3148,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3148,X3147)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3147,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3148,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3148,X3147)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3148)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3147)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3148,X3147)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3147,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3147)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3148,X3147)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__0__le__divide__iff])])]) ).

fof(i_0_1933,plain,
    ! [X3617,X3618,X3619,X3620] :
      ( ~ class_Groups_Oordered__ab__semigroup__add(X3620)
      | ~ c_Orderings_Oord__class_Oless__eq(X3620,X3619,X3618)
      | c_Orderings_Oord__class_Oless__eq(X3620,c_Groups_Oplus__class_Oplus(X3620,X3619,X3617),c_Groups_Oplus__class_Oplus(X3620,X3618,X3617)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__mono])]) ).

fof(i_0_1934,plain,
    ! [X3613,X3614,X3615,X3616] :
      ( ~ class_Groups_Oordered__ab__semigroup__add(X3616)
      | ~ c_Orderings_Oord__class_Oless__eq(X3616,X3615,X3614)
      | c_Orderings_Oord__class_Oless__eq(X3616,c_Groups_Oplus__class_Oplus(X3616,X3613,X3615),c_Groups_Oplus__class_Oplus(X3616,X3613,X3614)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__mono])]) ).

fof(i_0_1935,plain,
    ! [X3587,X3588,X3589,X3590] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3590)
      | ~ c_Orderings_Oord__class_Oless(X3590,X3589,X3588)
      | c_Orderings_Oord__class_Oless(X3590,c_Groups_Oplus__class_Oplus(X3590,X3589,X3587),c_Groups_Oplus__class_Oplus(X3590,X3588,X3587)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__right__mono])]) ).

fof(i_0_1936,plain,
    ! [X3583,X3584,X3585,X3586] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3586)
      | ~ c_Orderings_Oord__class_Oless(X3586,X3585,X3584)
      | c_Orderings_Oord__class_Oless(X3586,c_Groups_Oplus__class_Oplus(X3586,X3583,X3585),c_Groups_Oplus__class_Oplus(X3586,X3583,X3584)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__left__mono])]) ).

fof(i_0_1937,plain,
    ! [X4507,X4508,X4509] :
      ( ~ class_Rings_Olinordered__semidom(X4509)
      | ~ c_Orderings_Oord__class_Oless(X4509,c_Groups_Oone__class_Oone(X4509),X4508)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4507)
      | c_Orderings_Oord__class_Oless(X4509,c_Groups_Oone__class_Oone(X4509),c_Power_Opower__class_Opower(X4509,X4508,X4507)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__less__power])]) ).

cnf(i_0_1938,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1400]) ).

cnf(i_0_1939,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1402]) ).

cnf(i_0_1940,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1418]) ).

fof(i_0_1941,plain,
    ! [X3104,X3105,X3106,X3107] :
      ( ( ~ c_SEQ_Odecseq(X3105,X3104)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3106,X3107)
        | c_Orderings_Oord__class_Oless__eq(X3105,hAPP(X3104,X3107),hAPP(X3104,X3106))
        | ~ class_Orderings_Oorder(X3105) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk7_2(X3104,X3105),esk8_2(X3104,X3105))
        | c_SEQ_Odecseq(X3105,X3104)
        | ~ class_Orderings_Oorder(X3105) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3105,hAPP(X3104,esk8_2(X3104,X3105)),hAPP(X3104,esk7_2(X3104,X3105)))
        | c_SEQ_Odecseq(X3105,X3104)
        | ~ class_Orderings_Oorder(X3105) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_decseq__def])])])])]) ).

fof(i_0_1942,plain,
    ! [X3818,X3819,X3820,X3821] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3821)
      | ~ c_Orderings_Oord__class_Oless__eq(X3821,c_Groups_Ozero__class_Ozero(X3821),X3820)
      | ~ c_Orderings_Oord__class_Oless__eq(X3821,X3819,X3818)
      | c_Orderings_Oord__class_Oless__eq(X3821,X3819,c_Groups_Oplus__class_Oplus(X3821,X3820,X3818)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__increasing])]) ).

fof(i_0_1943,plain,
    ! [X3814,X3815,X3816,X3817] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3817)
      | ~ c_Orderings_Oord__class_Oless__eq(X3817,c_Groups_Ozero__class_Ozero(X3817),X3816)
      | ~ c_Orderings_Oord__class_Oless__eq(X3817,X3815,X3814)
      | c_Orderings_Oord__class_Oless__eq(X3817,X3815,c_Groups_Oplus__class_Oplus(X3817,X3814,X3816)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__increasing2])]) ).

fof(i_0_1944,plain,
    ! [X3975,X3976,X3977,X3978] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3978)
      | ~ c_Orderings_Oord__class_Oless(X3978,c_Groups_Ozero__class_Ozero(X3978),X3977)
      | ~ c_Orderings_Oord__class_Oless__eq(X3978,X3976,X3975)
      | c_Orderings_Oord__class_Oless(X3978,X3976,c_Groups_Oplus__class_Oplus(X3978,X3977,X3975)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__increasing])]) ).

fof(i_0_1945,plain,
    ! [X3979,X3980,X3981,X3982] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X3982)
      | ~ c_Orderings_Oord__class_Oless__eq(X3982,c_Groups_Ozero__class_Ozero(X3982),X3981)
      | ~ c_Orderings_Oord__class_Oless(X3982,X3980,X3979)
      | c_Orderings_Oord__class_Oless(X3982,X3980,c_Groups_Oplus__class_Oplus(X3982,X3981,X3979)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__increasing2])]) ).

fof(i_0_1946,plain,
    ! [X3839,X3840,X3841,X3842] :
      ( ~ class_Rings_Olinordered__semidom(X3842)
      | ~ c_Orderings_Oord__class_Oless(X3842,c_Groups_Ozero__class_Ozero(X3842),X3841)
      | ~ c_Orderings_Oord__class_Oless(X3842,X3840,X3839)
      | c_Orderings_Oord__class_Oless(X3842,X3840,c_Groups_Oplus__class_Oplus(X3842,X3841,X3839)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__add__strict])]) ).

fof(i_0_1947,plain,
    ! [X2971,X2972,X2973] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2973,c_Int_Onumber__class_Onumber__of(X2973,X2972),c_Int_Onumber__class_Onumber__of(X2973,X2971))
        | ~ c_Orderings_Oord__class_Oless(X2973,c_Int_Onumber__class_Onumber__of(X2973,X2971),c_Int_Onumber__class_Onumber__of(X2973,X2972))
        | ~ class_Int_Onumber(X2973)
        | ~ class_Orderings_Olinorder(X2973) )
      & ( c_Orderings_Oord__class_Oless(X2973,c_Int_Onumber__class_Onumber__of(X2973,X2971),c_Int_Onumber__class_Onumber__of(X2973,X2972))
        | c_Orderings_Oord__class_Oless__eq(X2973,c_Int_Onumber__class_Onumber__of(X2973,X2972),c_Int_Onumber__class_Onumber__of(X2973,X2971))
        | ~ class_Int_Onumber(X2973)
        | ~ class_Orderings_Olinorder(X2973) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1419])])]) ).

cnf(i_0_1948,plain,
    ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1420]) ).

fof(i_0_1949,plain,
    ! [X4420,X4421,X4422] :
      ( ~ class_Fields_Ofield__inverse__zero(X4422)
      | c_Rings_Oinverse__class_Odivide(X4422,c_Groups_Oone__class_Oone(X4422),c_Power_Opower__class_Opower(X4422,X4421,X4420)) = c_Power_Opower__class_Opower(X4422,c_Rings_Oinverse__class_Odivide(X4422,c_Groups_Oone__class_Oone(X4422),X4421),X4420) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one__over])]) ).

fof(i_0_1950,plain,
    ! [X3389] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3389),v_r)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3389))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_s1m])]) ).

fof(i_0_1951,plain,
    ! [X4184,X4185,X4186] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4186,X4185)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4186,X4184),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4185,X4184)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__mono1])]) ).

fof(i_0_1952,plain,
    ! [X2894,X2895,X2896] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2896,X2895)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2896,X2894),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2895,X2894)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__le__mono])]) ).

fof(i_0_1953,plain,
    ! [X2897,X2898,X2899] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2899,X2898)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2897,X2898),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2897,X2899)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__le__mono2])]) ).

cnf(i_0_1954,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1405]) ).

cnf(i_0_1955,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1406]) ).

fof(i_0_1956,plain,
    ! [X4159,X4160,X4161] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4161,X4160)
      | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4159,X4161),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4159,X4160)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__left__mono])]) ).

fof(i_0_1957,plain,
    ! [X3685,X3686,X3687] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3687,X3686)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3685,X3687),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3685,X3686)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__left__mono])]) ).

fof(i_0_1958,plain,
    ! [X4145,X4146,X4147] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4147,X4146)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4147,X4145),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4146,X4145)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__mono1])]) ).

cnf(i_0_1959,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1407]) ).

cnf(i_0_1960,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1408]) ).

fof(i_0_1961,plain,
    ! [X4162,X4163,X4164] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4164,X4163)
      | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4164,X4162),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4163,X4162)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__strict__right__mono])]) ).

cnf(i_0_1962,plain,
    ( X1 = c_Nat_OSuc(esk32_2(X2,X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1421]) ).

cnf(i_0_1963,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1422]) ).

cnf(i_0_1964,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1423]) ).

cnf(i_0_1965,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1424]) ).

cnf(i_0_1966,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1425]) ).

cnf(i_0_1967,plain,
    ( c_Groups_Oone__class_Oone(X1) = c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(c_Int_OPls))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1426]) ).

cnf(i_0_1968,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(X1,X2),X1)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Nat_OSuc(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1421]) ).

cnf(i_0_1969,plain,
    c_Int_OBit0(X1) != c_Int_OBit1(X2),
    inference(split_conjunct,[status(thm)],[i_0_1427]) ).

cnf(i_0_1970,plain,
    c_Int_OBit1(X1) != c_Int_OBit0(X2),
    inference(split_conjunct,[status(thm)],[i_0_1428]) ).

fof(i_0_1971,plain,
    ! [X3711,X3712,X3713] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3713)
      | c_Groups_Oabs__class_Oabs(X3713,c_Groups_Oplus__class_Oplus(X3713,c_Groups_Oabs__class_Oabs(X3713,X3712),c_Groups_Oabs__class_Oabs(X3713,X3711))) = c_Groups_Oplus__class_Oplus(X3713,c_Groups_Oabs__class_Oabs(X3713,X3712),c_Groups_Oabs__class_Oabs(X3713,X3711)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__add__abs])]) ).

fof(i_0_1972,plain,
    ! [X4241,X4242] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4242)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4241)
      | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4242,X4241)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J])]) ).

fof(i_0_1973,plain,
    ! [X4730,X4731] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4731)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4730)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4731,X4730)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__order])]) ).

cnf(i_0_1974,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X3))
    | X1 != c_Nat_OSuc(X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1421]) ).

fof(i_0_1975,plain,
    ! [X2889,X2890,X2891] :
      ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2890,X2891) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2889,X2891)
        | X2890 = X2889
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2891,X2889)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2891,X2890) )
      & ( X2890 != X2889
        | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2890,X2891) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2889,X2891)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2891,X2889)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2891,X2890) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__diff__iff])])]) ).

fof(i_0_1976,plain,
    ! [X4710,X4711,X4712,X4713] :
      ( ~ class_Fields_Ofield__inverse__zero(X4713)
      | X4712 = c_Groups_Ozero__class_Ozero(X4713)
      | c_Rings_Oinverse__class_Odivide(X4713,c_Groups_Otimes__class_Otimes(X4713,X4712,X4711),c_Groups_Otimes__class_Otimes(X4713,X4712,X4710)) = c_Rings_Oinverse__class_Odivide(X4713,X4711,X4710) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__divide__mult__cancel__left])]) ).

fof(i_0_1977,plain,
    ! [X4706,X4707,X4708,X4709] :
      ( ~ class_Fields_Ofield__inverse__zero(X4709)
      | X4708 = c_Groups_Ozero__class_Ozero(X4709)
      | c_Rings_Oinverse__class_Odivide(X4709,c_Groups_Otimes__class_Otimes(X4709,X4707,X4708),c_Groups_Otimes__class_Otimes(X4709,X4706,X4708)) = c_Rings_Oinverse__class_Odivide(X4709,X4707,X4706) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__divide__mult__cancel__right])]) ).

fof(i_0_1978,plain,
    ! [X3085,X3086] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3086)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3085)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3085,X3086),X3085) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less])]) ).

fof(i_0_1979,plain,
    ! [X4039,X4040] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4040),X4039))
        | X4040 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | X4039 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X4040 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4040),X4039)) )
      & ( X4039 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4040),X4039)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__zpower__abs__iff])])]) ).

cnf(i_0_1980,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3)) = c_Groups_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X2)
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1429]) ).

cnf(i_0_1981,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3)) = c_Groups_Otimes__class_Otimes(X1,X2,c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Power_Opower(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1430]) ).

cnf(i_0_1982,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3)) = c_Groups_Otimes__class_Otimes(X1,X2,c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1431]) ).

cnf(i_0_1983,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X2) = c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1432]) ).

cnf(i_0_1984,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Power_Opower__class_Opower(X1,X2,X3)) = c_Power_Opower__class_Opower(X1,X2,c_Nat_OSuc(X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1433]) ).

cnf(i_0_1985,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,c_Nat_OSuc(X2)))
    | ~ c_SEQ_Osubseq(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1393]) ).

fof(i_0_1986,plain,
    ! [X3830,X3831] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3831,c_Groups_Ozero__class_Ozero(X3831),c_Groups_Oplus__class_Oplus(X3831,X3830,X3830))
        | c_Orderings_Oord__class_Oless__eq(X3831,c_Groups_Ozero__class_Ozero(X3831),X3830)
        | ~ class_Groups_Olinordered__ab__group__add(X3831) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3831,c_Groups_Ozero__class_Ozero(X3831),X3830)
        | c_Orderings_Oord__class_Oless__eq(X3831,c_Groups_Ozero__class_Ozero(X3831),c_Groups_Oplus__class_Oplus(X3831,X3830,X3830))
        | ~ class_Groups_Olinordered__ab__group__add(X3831) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__double__add__iff__zero__le__single__add])])]) ).

fof(i_0_1987,plain,
    ! [X3832,X3833] :
      ( ( ~ c_Orderings_Oord__class_Oless(X3833,c_Groups_Ozero__class_Ozero(X3833),c_Groups_Oplus__class_Oplus(X3833,X3832,X3832))
        | c_Orderings_Oord__class_Oless(X3833,c_Groups_Ozero__class_Ozero(X3833),X3832)
        | ~ class_Groups_Olinordered__ab__group__add(X3833) )
      & ( ~ c_Orderings_Oord__class_Oless(X3833,c_Groups_Ozero__class_Ozero(X3833),X3832)
        | c_Orderings_Oord__class_Oless(X3833,c_Groups_Ozero__class_Ozero(X3833),c_Groups_Oplus__class_Oplus(X3833,X3832,X3832))
        | ~ class_Groups_Olinordered__ab__group__add(X3833) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__double__add__iff__zero__less__single__add])])]) ).

fof(i_0_1988,plain,
    ! [X3828,X3829] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3829,c_Groups_Oplus__class_Oplus(X3829,X3828,X3828),c_Groups_Ozero__class_Ozero(X3829))
        | c_Orderings_Oord__class_Oless__eq(X3829,X3828,c_Groups_Ozero__class_Ozero(X3829))
        | ~ class_Groups_Olinordered__ab__group__add(X3829) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3829,X3828,c_Groups_Ozero__class_Ozero(X3829))
        | c_Orderings_Oord__class_Oless__eq(X3829,c_Groups_Oplus__class_Oplus(X3829,X3828,X3828),c_Groups_Ozero__class_Ozero(X3829))
        | ~ class_Groups_Olinordered__ab__group__add(X3829) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__add__le__zero__iff__single__add__le__zero])])]) ).

fof(i_0_1989,plain,
    ! [X3834,X3835] :
      ( ( ~ c_Orderings_Oord__class_Oless(X3835,c_Groups_Oplus__class_Oplus(X3835,X3834,X3834),c_Groups_Ozero__class_Ozero(X3835))
        | c_Orderings_Oord__class_Oless(X3835,X3834,c_Groups_Ozero__class_Ozero(X3835))
        | ~ class_Groups_Olinordered__ab__group__add(X3835) )
      & ( ~ c_Orderings_Oord__class_Oless(X3835,X3834,c_Groups_Ozero__class_Ozero(X3835))
        | c_Orderings_Oord__class_Oless(X3835,c_Groups_Oplus__class_Oplus(X3835,X3834,X3834),c_Groups_Ozero__class_Ozero(X3835))
        | ~ class_Groups_Olinordered__ab__group__add(X3835) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__add__less__zero__iff__single__add__less__zero])])]) ).

fof(i_0_1990,plain,
    ! [X3846,X3847] :
      ( ( ~ c_Orderings_Oord__class_Oless(X3847,c_Groups_Oplus__class_Oplus(X3847,X3846,X3846),c_Groups_Ozero__class_Ozero(X3847))
        | c_Orderings_Oord__class_Oless(X3847,X3846,c_Groups_Ozero__class_Ozero(X3847))
        | ~ class_Rings_Olinordered__idom(X3847) )
      & ( ~ c_Orderings_Oord__class_Oless(X3847,X3846,c_Groups_Ozero__class_Ozero(X3847))
        | c_Orderings_Oord__class_Oless(X3847,c_Groups_Oplus__class_Oplus(X3847,X3846,X3846),c_Groups_Ozero__class_Ozero(X3847))
        | ~ class_Rings_Olinordered__idom(X3847) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_even__less__0__iff])])]) ).

cnf(i_0_1991,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1434]) ).

fof(i_0_1992,plain,
    ! [X5011,X5012,X5013,X5014] :
      ( ~ class_Rings_Ocomm__semiring__1(X5014)
      | c_Groups_Otimes__class_Otimes(X5014,c_Groups_Otimes__class_Otimes(X5014,X5013,X5012),X5011) = c_Groups_Otimes__class_Otimes(X5014,c_Groups_Otimes__class_Otimes(X5014,X5013,X5011),X5012) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J])]) ).

fof(i_0_1993,plain,
    ! [X4534,X4535,X4536,X4537] :
      ( ~ class_Rings_Ocomm__semiring__1(X4537)
      | c_Groups_Oplus__class_Oplus(X4537,c_Groups_Oplus__class_Oplus(X4537,X4536,X4535),X4534) = c_Groups_Oplus__class_Oplus(X4537,c_Groups_Oplus__class_Oplus(X4537,X4536,X4534),X4535) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J])]) ).

fof(i_0_1994,plain,
    ! [X4791,X4792,X4793,X4794] :
      ( ~ class_Groups_Oab__semigroup__mult(X4794)
      | c_Groups_Otimes__class_Otimes(X4794,c_Groups_Otimes__class_Otimes(X4794,X4793,X4792),X4791) = c_Groups_Otimes__class_Otimes(X4794,X4793,c_Groups_Otimes__class_Otimes(X4794,X4792,X4791)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__semigroup__mult__class_Omult__ac_I1_J])]) ).

fof(i_0_1995,plain,
    ! [X5015,X5016,X5017,X5018] :
      ( ~ class_Rings_Ocomm__semiring__1(X5018)
      | c_Groups_Otimes__class_Otimes(X5018,c_Groups_Otimes__class_Otimes(X5018,X5017,X5016),X5015) = c_Groups_Otimes__class_Otimes(X5018,X5017,c_Groups_Otimes__class_Otimes(X5018,X5016,X5015)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J])]) ).

fof(i_0_1996,plain,
    ! [X3546,X3547,X3548,X3549] :
      ( ~ class_Groups_Oab__semigroup__add(X3549)
      | c_Groups_Oplus__class_Oplus(X3549,c_Groups_Oplus__class_Oplus(X3549,X3548,X3547),X3546) = c_Groups_Oplus__class_Oplus(X3549,X3548,c_Groups_Oplus__class_Oplus(X3549,X3547,X3546)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__semigroup__add__class_Oadd__ac_I1_J])]) ).

fof(i_0_1997,plain,
    ! [X4530,X4531,X4532,X4533] :
      ( ~ class_Rings_Ocomm__semiring__1(X4533)
      | c_Groups_Oplus__class_Oplus(X4533,c_Groups_Oplus__class_Oplus(X4533,X4532,X4531),X4530) = c_Groups_Oplus__class_Oplus(X4533,X4532,c_Groups_Oplus__class_Oplus(X4533,X4531,X4530)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J])]) ).

fof(i_0_1998,plain,
    ! [X5019,X5020,X5021,X5022] :
      ( ~ class_Rings_Ocomm__semiring__1(X5022)
      | c_Groups_Otimes__class_Otimes(X5022,X5021,c_Groups_Otimes__class_Otimes(X5022,X5020,X5019)) = c_Groups_Otimes__class_Otimes(X5022,c_Groups_Otimes__class_Otimes(X5022,X5021,X5020),X5019) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J])]) ).

fof(i_0_1999,plain,
    ! [X4759,X4760,X4761,X4762] :
      ( ~ class_Rings_Odivision__ring(X4762)
      | c_Groups_Otimes__class_Otimes(X4762,X4761,c_Rings_Oinverse__class_Odivide(X4762,X4760,X4759)) = c_Rings_Oinverse__class_Odivide(X4762,c_Groups_Otimes__class_Otimes(X4762,X4761,X4760),X4759) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_times__divide__eq__right])]) ).

fof(i_0_2000,plain,
    ! [X4526,X4527,X4528,X4529] :
      ( ~ class_Rings_Ocomm__semiring__1(X4529)
      | c_Groups_Oplus__class_Oplus(X4529,X4528,c_Groups_Oplus__class_Oplus(X4529,X4527,X4526)) = c_Groups_Oplus__class_Oplus(X4529,c_Groups_Oplus__class_Oplus(X4529,X4528,X4527),X4526) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J])]) ).

fof(i_0_2001,plain,
    ! [X5023,X5024,X5025,X5026] :
      ( ~ class_Rings_Ocomm__semiring__1(X5026)
      | c_Groups_Otimes__class_Otimes(X5026,X5025,c_Groups_Otimes__class_Otimes(X5026,X5024,X5023)) = c_Groups_Otimes__class_Otimes(X5026,X5024,c_Groups_Otimes__class_Otimes(X5026,X5025,X5023)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J])]) ).

fof(i_0_2002,plain,
    ! [X4522,X4523,X4524,X4525] :
      ( ~ class_Rings_Ocomm__semiring__1(X4525)
      | c_Groups_Oplus__class_Oplus(X4525,X4524,c_Groups_Oplus__class_Oplus(X4525,X4523,X4522)) = c_Groups_Oplus__class_Oplus(X4525,X4523,c_Groups_Oplus__class_Oplus(X4525,X4524,X4522)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J])]) ).

cnf(i_0_2003,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[fact_nat__numeral__1__eq__1]) ).

cnf(i_0_2004,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)),
    inference(split_conjunct,[status(thm)],[fact_Numeral1__eq1__nat]) ).

cnf(i_0_2005,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
    inference(split_conjunct,[status(thm)],[fact_one__is__num__one]) ).

fof(i_0_2006,plain,
    ! [X4029] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X4029),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4029),
    inference(variable_rename,[status(thm)],[i_0_1435]) ).

fof(i_0_2007,plain,
    ! [X4021,X4022] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4022,X4021))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4022),X4021) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4022),X4021)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4022,X4021)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__0__le__add__iff])]) ).

fof(i_0_2008,plain,
    ! [X4025,X4026] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4026,X4025))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4026),X4025) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4026),X4025)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4026,X4025)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__0__less__add__iff])]) ).

fof(i_0_2009,plain,
    ! [X4023,X4024] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4024,X4023),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4023,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4024)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4023,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4024))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4024,X4023),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__le__0__iff])]) ).

fof(i_0_2010,plain,
    ! [X4027,X4028] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4028,X4027),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4027,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4028)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4027,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4028))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4028,X4027),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__less__0__iff])]) ).

cnf(i_0_2011,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(X2)))
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1409]) ).

fof(i_0_2012,plain,
    ! [X2968,X2969,X2970] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2970,X2969,X2968)
        | c_Orderings_Oord__class_Oless__eq(X2970,c_Groups_Ominus__class_Ominus(X2970,X2969,X2968),c_Groups_Ozero__class_Ozero(X2970))
        | ~ class_Groups_Oordered__ab__group__add(X2970) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2970,c_Groups_Ominus__class_Ominus(X2970,X2969,X2968),c_Groups_Ozero__class_Ozero(X2970))
        | c_Orderings_Oord__class_Oless__eq(X2970,X2969,X2968)
        | ~ class_Groups_Oordered__ab__group__add(X2970) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__iff__diff__le__0])])]) ).

fof(i_0_2013,plain,
    ! [X2842,X2843,X2844] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2844,X2843,X2842)
        | c_Orderings_Oord__class_Oless(X2844,c_Groups_Ominus__class_Ominus(X2844,X2843,X2842),c_Groups_Ozero__class_Ozero(X2844))
        | ~ class_Groups_Oordered__ab__group__add(X2844) )
      & ( ~ c_Orderings_Oord__class_Oless(X2844,c_Groups_Ominus__class_Ominus(X2844,X2843,X2842),c_Groups_Ozero__class_Ozero(X2844))
        | c_Orderings_Oord__class_Oless(X2844,X2843,X2842)
        | ~ class_Groups_Oordered__ab__group__add(X2844) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__iff__diff__less__0])])]) ).

cnf(i_0_2014,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),
    inference(split_conjunct,[status(thm)],[i_0_1436]) ).

cnf(i_0_2015,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X1),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Nat_OSuc(X2)),
    inference(split_conjunct,[status(thm)],[i_0_1437]) ).

cnf(i_0_2016,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),
    inference(split_conjunct,[status(thm)],[i_0_1438]) ).

fof(i_0_2017,plain,
    ! [X3932,X3933] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3933,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3932))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3932,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3933))),
    inference(variable_rename,[status(thm)],[fact_abs__minus__add__cancel]) ).

cnf(i_0_2018,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X1),X2) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1439]) ).

cnf(i_0_2019,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1440]) ).

fof(i_0_2020,plain,
    ! [X2942,X2943,X2944,X2945,X2946] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2946,X2945,X2944)
        | c_Orderings_Oord__class_Oless__eq(X2946,X2943,X2942)
        | c_Groups_Ominus__class_Ominus(X2946,X2945,X2944) != c_Groups_Ominus__class_Ominus(X2946,X2943,X2942)
        | ~ class_Groups_Oordered__ab__group__add(X2946) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2946,X2943,X2942)
        | c_Orderings_Oord__class_Oless__eq(X2946,X2945,X2944)
        | c_Groups_Ominus__class_Ominus(X2946,X2945,X2944) != c_Groups_Ominus__class_Ominus(X2946,X2943,X2942)
        | ~ class_Groups_Oordered__ab__group__add(X2946) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__less__eq])])]) ).

fof(i_0_2021,plain,
    ! [X2797,X2798,X2799,X2800,X2801] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2801,X2800,X2799)
        | c_Orderings_Oord__class_Oless(X2801,X2798,X2797)
        | c_Groups_Ominus__class_Ominus(X2801,X2800,X2799) != c_Groups_Ominus__class_Ominus(X2801,X2798,X2797)
        | ~ class_Groups_Oordered__ab__group__add(X2801) )
      & ( ~ c_Orderings_Oord__class_Oless(X2801,X2798,X2797)
        | c_Orderings_Oord__class_Oless(X2801,X2800,X2799)
        | c_Groups_Ominus__class_Ominus(X2801,X2800,X2799) != c_Groups_Ominus__class_Ominus(X2801,X2798,X2797)
        | ~ class_Groups_Oordered__ab__group__add(X2801) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__less])])]) ).

fof(i_0_2022,plain,
    ! [X4229,X4230] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4230,c_Int_OPls)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4230),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4229)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4229) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4229,c_Int_OPls)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4230),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4229)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4230)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X4230,c_Int_OPls) )
      & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X4229,c_Int_OPls)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4230),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4229)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4230,X4229))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X4230,c_Int_OPls) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1441])])]) ).

fof(i_0_2023,plain,
    ! [X3423,X3424] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3424),v_r)
      | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3424)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3423)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3423,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096])]) ).

fof(i_0_2024,plain,
    ! [X4961,X4962] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4962,X4961),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4962,X4962)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X4961,X4962),
    inference(variable_rename,[status(thm)],[fact_real__divide__square__eq]) ).

fof(i_0_2025,plain,
    ! [X4211,X4212,X4213] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4213,X4212),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4213,X4211)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4212,X4211),
    inference(variable_rename,[status(thm)],[fact_diff__cancel]) ).

fof(i_0_2026,plain,
    ! [X4208,X4209,X4210] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4210,X4209),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4208,X4209)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4210,X4208),
    inference(variable_rename,[status(thm)],[fact_diff__cancel2]) ).

fof(i_0_2027,plain,
    ! [X2900,X2901,X2902] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2902,X2901),X2900) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2902,X2900),X2901),
    inference(variable_rename,[status(thm)],[fact_diff__commute]) ).

fof(i_0_2028,plain,
    ! [X4808,X4809,X4810] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4810,X4809),X4808) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4810,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4809,X4808)),
    inference(variable_rename,[status(thm)],[fact_real__mult__assoc]) ).

fof(i_0_2029,plain,
    ! [X4369,X4370,X4371] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4371,X4370),X4369) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4371,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4370,X4369)),
    inference(variable_rename,[status(thm)],[fact_nat__add__assoc]) ).

fof(i_0_2030,plain,
    ! [X4110,X4111,X4112] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4112,X4111),X4110) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4112,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4111,X4110)),
    inference(variable_rename,[status(thm)],[fact_zadd__assoc]) ).

fof(i_0_2031,plain,
    ! [X4214,X4215,X4216] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4216,X4215),X4214) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4216,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4215,X4214)),
    inference(variable_rename,[status(thm)],[fact_diff__diff__left]) ).

fof(i_0_2032,plain,
    ! [X4366,X4367,X4368] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4368,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4367,X4366)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4367,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4368,X4366)),
    inference(variable_rename,[status(thm)],[fact_nat__add__left__commute]) ).

fof(i_0_2033,plain,
    ! [X4107,X4108,X4109] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4109,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4108,X4107)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4108,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4109,X4107)),
    inference(variable_rename,[status(thm)],[fact_zadd__left__commute]) ).

cnf(i_0_2034,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1442]) ).

cnf(i_0_2035,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 = X1
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1443]) ).

cnf(i_0_2036,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1444]) ).

cnf(i_0_2037,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1445]) ).

fof(i_0_2038,plain,
    ! [X4087,X4088] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4088,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4087,c_Groups_Oone__class_Oone(tc_Int_Oint)))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X4088,X4087)
        | X4088 = X4087 )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4088,X4087)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X4088,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4087,c_Groups_Oone__class_Oone(tc_Int_Oint))) )
      & ( X4088 != X4087
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X4088,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4087,c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__add1__eq])])]) ).

fof(i_0_2039,plain,
    ! [X3419,X3420] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3420),v_r)
      | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3420)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3419)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3419,esk15_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mth2])])])]) ).

fof(i_0_2040,plain,
    ! [X4432,X4433] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X4433,X4432))
        | X4432 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4433) )
      & ( X4432 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X4433,X4432)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4433)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X4433,X4432)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power__nat__eq])])]) ).

fof(i_0_2041,plain,
    ! [X4430,X4431] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X4431,X4430))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4431)
        | X4430 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4431)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X4431,X4430)) )
      & ( X4430 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X4431,X4430)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__zero__less__power__iff])])]) ).

cnf(i_0_2042,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1446]) ).

cnf(i_0_2043,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1447]) ).

cnf(i_0_2044,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1448]) ).

cnf(i_0_2045,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1449]) ).

cnf(i_0_2046,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1450]) ).

fof(i_0_2047,plain,
    ! [X4260,X4261] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4261,c_Groups_Oone__class_Oone(tc_Int_Oint)),X4260)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X4261,X4260) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4261,X4260)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4261,c_Groups_Oone__class_Oone(tc_Int_Oint)),X4260) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add1__zle__eq])]) ).

cnf(i_0_2048,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1451]) ).

fof(i_0_2049,plain,
    ! [X4258,X4259] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4259,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4258,c_Groups_Oone__class_Oone(tc_Int_Oint)))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4259,X4258) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4259,X4258)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X4259,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4258,c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__add1__eq__le])]) ).

fof(i_0_2050,plain,
    ! [X4035,X4036] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4036,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4035,c_Groups_Oone__class_Oone(tc_Int_Oint)))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X4036,X4035) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4036,X4035)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4036,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4035,c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__diff1__eq])]) ).

cnf(i_0_2051,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(split_conjunct,[status(thm)],[i_0_1452]) ).

cnf(i_0_2052,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X1 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1453]) ).

fof(i_0_2053,plain,
    ! [X3149,X3150] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3150,X3149)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3150,X3149),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3150,X3149),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3150,X3149) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__eq__diff])]) ).

fof(i_0_2054,plain,
    ! [X2747,X2748] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2748,X2747)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2748,X2747),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2748,X2747),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2748,X2747) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__bin__lemma])]) ).

fof(i_0_2055,plain,
    ! [X2872,X2873] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2873,X2872))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2872,X2873) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2872,X2873)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2873,X2872)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__diff])]) ).

fof(i_0_2056,plain,
    ! [X2600,X2601,X2602] :
      ( ~ class_Fields_Olinordered__field__inverse__zero(X2602)
      | ~ c_Orderings_Oord__class_Oless(X2602,c_Groups_Ozero__class_Ozero(X2602),X2601)
      | c_Rings_Oinverse__class_Odivide(X2602,c_Groups_Oabs__class_Oabs(X2602,X2600),X2601) = c_Groups_Oabs__class_Oabs(X2602,c_Rings_Oinverse__class_Odivide(X2602,X2600,X2601)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__div__pos])]) ).

cnf(i_0_2057,plain,
    ( c_Nat_OSuc(X1) = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1454]) ).

fof(i_0_2058,plain,
    ! [X4152,X4153,X4154,X4155] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4155,X4154)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4153,X4154) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4155,X4152)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4153,X4152) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__eq__less])]) ).

fof(i_0_2059,plain,
    ! [X3017,X3018,X3019] :
      ( ( c_Orderings_Oord__class_Oless__eq(X3019,X3018,X3017)
        | ~ c_Orderings_Oord__class_Oless__eq(X3019,c_Groups_Oabs__class_Oabs(X3019,X3018),X3017)
        | ~ class_Groups_Oordered__ab__group__add__abs(X3019) )
      & ( c_Orderings_Oord__class_Oless__eq(X3019,c_Groups_Ouminus__class_Ouminus(X3019,X3018),X3017)
        | ~ c_Orderings_Oord__class_Oless__eq(X3019,c_Groups_Oabs__class_Oabs(X3019,X3018),X3017)
        | ~ class_Groups_Oordered__ab__group__add__abs(X3019) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3019,X3018,X3017)
        | ~ c_Orderings_Oord__class_Oless__eq(X3019,c_Groups_Ouminus__class_Ouminus(X3019,X3018),X3017)
        | c_Orderings_Oord__class_Oless__eq(X3019,c_Groups_Oabs__class_Oabs(X3019,X3018),X3017)
        | ~ class_Groups_Oordered__ab__group__add__abs(X3019) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__iff])])]) ).

fof(i_0_2060,plain,
    ! [X3014,X3015,X3016] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3016)
      | ~ c_Orderings_Oord__class_Oless__eq(X3016,X3015,X3014)
      | ~ c_Orderings_Oord__class_Oless__eq(X3016,c_Groups_Ouminus__class_Ouminus(X3016,X3015),X3014)
      | c_Orderings_Oord__class_Oless__eq(X3016,c_Groups_Oabs__class_Oabs(X3016,X3015),X3014) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__leI])]) ).

fof(i_0_2061,plain,
    ! [X2723,X2724,X2725] :
      ( ( c_Orderings_Oord__class_Oless(X2725,X2724,X2723)
        | ~ c_Orderings_Oord__class_Oless(X2725,c_Groups_Oabs__class_Oabs(X2725,X2724),X2723)
        | ~ class_Rings_Olinordered__idom(X2725) )
      & ( c_Orderings_Oord__class_Oless(X2725,c_Groups_Ouminus__class_Ouminus(X2725,X2724),X2723)
        | ~ c_Orderings_Oord__class_Oless(X2725,c_Groups_Oabs__class_Oabs(X2725,X2724),X2723)
        | ~ class_Rings_Olinordered__idom(X2725) )
      & ( ~ c_Orderings_Oord__class_Oless(X2725,X2724,X2723)
        | ~ c_Orderings_Oord__class_Oless(X2725,c_Groups_Ouminus__class_Ouminus(X2725,X2724),X2723)
        | c_Orderings_Oord__class_Oless(X2725,c_Groups_Oabs__class_Oabs(X2725,X2724),X2723)
        | ~ class_Rings_Olinordered__idom(X2725) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__less__iff])])]) ).

fof(i_0_2062,plain,
    ! [X4424,X4425,X4426] :
      ( ~ class_Rings_Olinordered__idom(X4426)
      | c_Groups_Oabs__class_Oabs(X4426,c_Power_Opower__class_Opower(X4426,c_Groups_Ouminus__class_Ouminus(X4426,X4425),X4424)) = c_Groups_Oabs__class_Oabs(X4426,c_Power_Opower__class_Opower(X4426,X4425,X4424)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__power__minus])]) ).

fof(i_0_2063,plain,
    ! [X4171,X4172,X4173] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4173,X4171)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4173,X4172),X4171) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4172,X4171)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4173,X4172),X4171) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1455])])]) ).

fof(i_0_2064,plain,
    ! [X4174,X4175,X4176] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4176,X4175),X4174)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4176,X4174) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__leD1])]) ).

fof(i_0_2065,plain,
    ! [X4177,X4178,X4179] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4179,X4178),X4177)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4178,X4177) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__leD2])]) ).

fof(i_0_2066,plain,
    ! [X4156,X4157,X4158] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4158,X4157),X4156)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4158,X4156) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__lessD1])]) ).

fof(i_0_2067,plain,
    ! [X4008,X4009] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4009,X4008)
      | c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4008,X4009)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4008),c_RealDef_Oreal(tc_Nat_Onat,X4009)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__diff])]) ).

cnf(i_0_2068,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))),
    inference(split_conjunct,[status(thm)],[i_0_1456]) ).

fof(i_0_2069,plain,
    ! [X4714,X4715,X4716,X4717,X4718] :
      ( ( c_Rings_Oinverse__class_Odivide(X4718,X4715,X4717) != c_Rings_Oinverse__class_Odivide(X4718,X4714,X4716)
        | c_Groups_Otimes__class_Otimes(X4718,X4715,X4716) = c_Groups_Otimes__class_Otimes(X4718,X4714,X4717)
        | X4716 = c_Groups_Ozero__class_Ozero(X4718)
        | X4717 = c_Groups_Ozero__class_Ozero(X4718)
        | ~ class_Fields_Ofield(X4718) )
      & ( c_Groups_Otimes__class_Otimes(X4718,X4715,X4716) != c_Groups_Otimes__class_Otimes(X4718,X4714,X4717)
        | c_Rings_Oinverse__class_Odivide(X4718,X4715,X4717) = c_Rings_Oinverse__class_Odivide(X4718,X4714,X4716)
        | X4716 = c_Groups_Ozero__class_Ozero(X4718)
        | X4717 = c_Groups_Ozero__class_Ozero(X4718)
        | ~ class_Fields_Ofield(X4718) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_frac__eq__eq])])]) ).

cnf(i_0_2070,plain,
    ( X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1457]) ).

cnf(i_0_2071,plain,
    ( X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1458]) ).

cnf(i_0_2072,plain,
    ( X2 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk39_2(X2,X1)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1453]) ).

fof(i_0_2073,plain,
    ! [X3822,X3823,X3824] :
      ( ( X3823 = c_Groups_Ozero__class_Ozero(X3824)
        | c_Groups_Oplus__class_Oplus(X3824,X3823,X3822) != c_Groups_Ozero__class_Ozero(X3824)
        | ~ c_Orderings_Oord__class_Oless__eq(X3824,c_Groups_Ozero__class_Ozero(X3824),X3822)
        | ~ c_Orderings_Oord__class_Oless__eq(X3824,c_Groups_Ozero__class_Ozero(X3824),X3823)
        | ~ class_Groups_Oordered__comm__monoid__add(X3824) )
      & ( X3822 = c_Groups_Ozero__class_Ozero(X3824)
        | c_Groups_Oplus__class_Oplus(X3824,X3823,X3822) != c_Groups_Ozero__class_Ozero(X3824)
        | ~ c_Orderings_Oord__class_Oless__eq(X3824,c_Groups_Ozero__class_Ozero(X3824),X3822)
        | ~ c_Orderings_Oord__class_Oless__eq(X3824,c_Groups_Ozero__class_Ozero(X3824),X3823)
        | ~ class_Groups_Oordered__comm__monoid__add(X3824) )
      & ( X3823 != c_Groups_Ozero__class_Ozero(X3824)
        | X3822 != c_Groups_Ozero__class_Ozero(X3824)
        | c_Groups_Oplus__class_Oplus(X3824,X3823,X3822) = c_Groups_Ozero__class_Ozero(X3824)
        | ~ c_Orderings_Oord__class_Oless__eq(X3824,c_Groups_Ozero__class_Ozero(X3824),X3822)
        | ~ c_Orderings_Oord__class_Oless__eq(X3824,c_Groups_Ozero__class_Ozero(X3824),X3823)
        | ~ class_Groups_Oordered__comm__monoid__add(X3824) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__eq__0__iff])])]) ).

cnf(i_0_2074,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1459]) ).

cnf(i_0_2075,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1460]) ).

cnf(i_0_2076,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_1461]) ).

cnf(i_0_2077,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_1462]) ).

fof(i_0_2078,plain,
    ! [X3396,X3397,X3398,X3399] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3398,X3399),X3397,X3396)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X3398,X3399),X3397,X3396)
        | ~ class_Orderings_Oord(X3399) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3398,X3399),X3396,X3397)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X3398,X3399),X3397,X3396)
        | ~ class_Orderings_Oord(X3399) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3398,X3399),X3397,X3396)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X3398,X3399),X3396,X3397)
        | c_Orderings_Oord__class_Oless(tc_fun(X3398,X3399),X3397,X3396)
        | ~ class_Orderings_Oord(X3399) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1463])])]) ).

fof(i_0_2079,plain,
    ! [X2782,X2783] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2783,X2782)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2782)
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2783),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2782)) )
      & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X2783,X2782)
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2783),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2782)) )
      & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X2783,X2782)
        | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2783,X2782)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2783),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2782)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2782)
        | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2783,X2782)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2783),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2782)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__nat__number__of])])]) ).

fof(i_0_2080,plain,
    ! [X3301,X3302,X3303,X3304,X3305] :
      ( ~ class_Groups_Ominus(X3305)
      | hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X3304,X3305),X3303,X3302),X3301) = c_Groups_Ominus__class_Ominus(X3305,hAPP(X3303,X3301),hAPP(X3302,X3301)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__apply])]) ).

fof(i_0_2081,plain,
    ! [X3151,X3152] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3151),X3152)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3152),X3151) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3152,X3151)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3152),X3151) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3151),X3152)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3152,X3151)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3152),X3151) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__interval__iff])])]) ).

fof(i_0_2082,plain,
    ! [X4309,X4310,X4311] :
      ( ~ class_Int_Onumber__ring(X4311)
      | c_Groups_Ominus__class_Ominus(X4311,c_Int_Onumber__class_Onumber__of(X4311,X4310),c_Int_Onumber__class_Onumber__of(X4311,X4309)) = c_Int_Onumber__class_Onumber__of(X4311,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4310,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4309))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__number__of__eq])]) ).

fof(i_0_2083,plain,
    ! [X4408,X4409,X4410,X4411] :
      ( ( c_Power_Opower__class_Opower(X4411,X4410,X4409) != c_Power_Opower__class_Opower(X4411,X4410,X4408)
        | X4409 = X4408
        | ~ c_Orderings_Oord__class_Oless(X4411,c_Groups_Oone__class_Oone(X4411),X4410)
        | ~ class_Rings_Olinordered__semidom(X4411) )
      & ( X4409 != X4408
        | c_Power_Opower__class_Opower(X4411,X4410,X4409) = c_Power_Opower__class_Opower(X4411,X4410,X4408)
        | ~ c_Orderings_Oord__class_Oless(X4411,c_Groups_Oone__class_Oone(X4411),X4410)
        | ~ class_Rings_Olinordered__semidom(X4411) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__inject__exp])])]) ).

fof(i_0_2084,plain,
    ! [X4841,X4842] :
      ( ~ class_Rings_Olinordered__ring(X4842)
      | ~ c_Orderings_Oord__class_Oless(X4842,c_Groups_Otimes__class_Otimes(X4842,X4841,X4841),c_Groups_Ozero__class_Ozero(X4842)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1464])]) ).

fof(i_0_2085,plain,
    ! [X4402,X4403,X4404] :
      ( ~ class_Rings_Olinordered__semidom(X4404)
      | ~ c_Orderings_Oord__class_Oless__eq(X4404,c_Groups_Oone__class_Oone(X4404),X4403)
      | c_Orderings_Oord__class_Oless__eq(X4404,c_Groups_Oone__class_Oone(X4404),c_Power_Opower__class_Opower(X4404,X4403,X4402)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__le__power])]) ).

fof(i_0_2086,plain,
    ! [X4396,X4397,X4398] :
      ( ~ class_Rings_Olinordered__semidom(X4398)
      | ~ c_Orderings_Oord__class_Oless__eq(X4398,c_Groups_Ozero__class_Ozero(X4398),X4397)
      | c_Orderings_Oord__class_Oless__eq(X4398,c_Groups_Ozero__class_Ozero(X4398),c_Power_Opower__class_Opower(X4398,X4397,X4396)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__power])]) ).

fof(i_0_2087,plain,
    ! [X4399,X4400,X4401] :
      ( ~ class_Rings_Olinordered__semidom(X4401)
      | ~ c_Orderings_Oord__class_Oless(X4401,c_Groups_Ozero__class_Ozero(X4401),X4400)
      | c_Orderings_Oord__class_Oless(X4401,c_Groups_Ozero__class_Ozero(X4401),c_Power_Opower__class_Opower(X4401,X4400,X4399)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power])]) ).

cnf(i_0_2088,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1465]) ).

cnf(i_0_2089,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Nat_OSuc(X1)),
    inference(split_conjunct,[status(thm)],[i_0_1466]) ).

fof(i_0_2090,plain,
    ! [X3228,X3229] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3229),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3228))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3229,X3228)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3229,c_Int_OPls) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3229,X3228)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3229),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3228)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3229,c_Int_OPls)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3229),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3228)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1467])])]) ).

fof(i_0_2091,plain,
    ! [X4341,X4342] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X4342),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X4341)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4342,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4341))),
    inference(variable_rename,[status(thm)],[fact_minus__numeral__code_I6_J]) ).

fof(i_0_2092,plain,
    ! [X4092] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4092),X4092) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(variable_rename,[status(thm)],[fact_odd__nonzero]) ).

fof(i_0_2093,plain,
    ! [X3459,X3460] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3460)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3459)
      | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X3460,X3459)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J])]) ).

fof(i_0_2094,plain,
    ! [X4726] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4726,X4726))
        | X4726 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X4726 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4726,X4726)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1468])]) ).

cnf(i_0_2095,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X1),
    inference(split_conjunct,[status(thm)],[i_0_1469]) ).

cnf(i_0_2096,plain,
    c_Int_OBit1(X1) != c_Int_OPls,
    inference(split_conjunct,[status(thm)],[i_0_1470]) ).

cnf(i_0_2097,plain,
    c_Int_OPls != c_Int_OBit1(X1),
    inference(split_conjunct,[status(thm)],[i_0_1471]) ).

cnf(i_0_2098,plain,
    ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X1
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1472]) ).

cnf(i_0_2099,plain,
    ( X1 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1473]) ).

fof(i_0_2100,plain,
    ! [X4312] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4312)
      | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4312)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__0__less])]) ).

cnf(i_0_2101,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | X1 != c_Nat_OSuc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1416]) ).

cnf(i_0_2102,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | X1 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1422]) ).

fof(i_0_2103,plain,
    ! [X2837,X2838,X2839] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2839)
      | c_Groups_Oabs__class_Oabs(X2839,c_Groups_Ominus__class_Ominus(X2839,X2838,X2837)) = c_Groups_Oabs__class_Oabs(X2839,c_Groups_Ominus__class_Ominus(X2839,X2837,X2838)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__minus__commute])]) ).

fof(i_0_2104,plain,
    ! [X2658,X2659,X2660] :
      ( ~ class_RealVector_Oreal__normed__vector(X2660)
      | c_RealVector_Onorm__class_Onorm(X2660,c_Groups_Ominus__class_Ominus(X2660,X2659,X2658)) = c_RealVector_Onorm__class_Onorm(X2660,c_Groups_Ominus__class_Ominus(X2660,X2658,X2659)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__minus__commute])]) ).

cnf(i_0_2105,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(split_conjunct,[status(thm)],[i_0_1452]) ).

fof(i_0_2106,plain,
    ! [X3890,X3891] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3891)
      | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,X3891,X3890)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J])]) ).

cnf(i_0_2107,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1447]) ).

cnf(i_0_2108,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1448]) ).

cnf(i_0_2109,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1474]) ).

fof(i_0_2110,plain,
    ! [X4262,X4263] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4263,X4262)
      | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4263,c_Groups_Oone__class_Oone(tc_Int_Oint)),X4262) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__imp__add1__zle])]) ).

cnf(i_0_2111,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1416]) ).

cnf(i_0_2112,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1475]) ).

cnf(i_0_2113,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1451]) ).

cnf(i_0_2114,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1476]) ).

cnf(i_0_2115,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1477]) ).

cnf(i_0_2116,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1445]) ).

fof(i_0_2117,plain,
    ! [X4132,X4133] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4133,X4132),X4133),
    inference(variable_rename,[status(thm)],[i_0_1478]) ).

fof(i_0_2118,plain,
    ! [X4134,X4135] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4135,X4134),X4134),
    inference(variable_rename,[status(thm)],[i_0_1479]) ).

fof(i_0_2119,plain,
    ! [X4283,X4284] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4284,X4283)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4283,X4284),X4284) = X4283 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__diff__inverse2])]) ).

fof(i_0_2120,plain,
    ! [X4291,X4292] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4292,X4291)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4292,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4291,X4292)) = X4291 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__diff__inverse])]) ).

fof(i_0_2121,plain,
    ! [X2892,X2893] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2893,X2892)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2892,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2892,X2893)) = X2893 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__diff__cancel])]) ).

fof(i_0_2122,plain,
    ! [X3208,X3209,X3210,X3211,X3212] :
      ( ~ class_Orderings_Oord(X3212)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3211,X3212),X3210,X3209)
      | c_Orderings_Oord__class_Oless__eq(X3212,hAPP(X3210,X3208),hAPP(X3209,X3208)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__funD])]) ).

fof(i_0_2123,plain,
    ! [X3170,X3171,X3172,X3173,X3174] :
      ( ~ class_Orderings_Oord(X3174)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3173,X3174),X3172,X3171)
      | c_Orderings_Oord__class_Oless__eq(X3174,hAPP(X3172,X3170),hAPP(X3171,X3170)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__funE])]) ).

fof(i_0_2124,plain,
    ! [X3064,X3065,X3066] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3066,X3065)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3066,X3064),X3065) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__diff__less])]) ).

fof(i_0_2125,plain,
    ! [X4190,X4191,X4192] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4192,X4191)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4192,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4191,X4190)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__le__add1])]) ).

fof(i_0_2126,plain,
    ! [X4165,X4166,X4167] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4167,X4166)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4167,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4166,X4165)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I3_J])]) ).

fof(i_0_2127,plain,
    ! [X4187,X4188,X4189] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4189,X4188)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4189,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4187,X4188)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__le__add2])]) ).

fof(i_0_2128,plain,
    ! [X4168,X4169,X4170] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4170,X4169)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4170,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4168,X4169)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I4_J])]) ).

fof(i_0_2129,plain,
    ! [X4139,X4140,X4141] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4141,X4140)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4141,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4140,X4139)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__less__add1])]) ).

fof(i_0_2130,plain,
    ! [X4129,X4130,X4131] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4131,X4130)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4131,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4130,X4129)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I1_J])]) ).

fof(i_0_2131,plain,
    ! [X4142,X4143,X4144] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4144,X4143)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4144,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4142,X4143)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__less__add2])]) ).

fof(i_0_2132,plain,
    ! [X4126,X4127,X4128] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4128,X4127)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4128,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4126,X4127)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I2_J])]) ).

cnf(i_0_2133,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1457]) ).

cnf(i_0_2134,plain,
    ( X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1457]) ).

cnf(i_0_2135,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1458]) ).

cnf(i_0_2136,plain,
    ( X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1458]) ).

cnf(i_0_2137,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1480]) ).

fof(i_0_2138,plain,
    ! [X2712,X2713,X2714] :
      ( ~ class_Fields_Ofield__inverse__zero(X2714)
      | ~ class_RealVector_Oreal__normed__field(X2714)
      | c_RealVector_Onorm__class_Onorm(X2714,c_Rings_Oinverse__class_Odivide(X2714,X2713,X2712)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2714,X2713),c_RealVector_Onorm__class_Onorm(X2714,X2712)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__divide])]) ).

fof(i_0_2139,plain,
    ! [X2707,X2708,X2709] :
      ( ~ class_Fields_Olinordered__field(X2709)
      | X2708 = c_Groups_Ozero__class_Ozero(X2709)
      | c_Groups_Oabs__class_Oabs(X2709,c_Rings_Oinverse__class_Odivide(X2709,X2707,X2708)) = c_Rings_Oinverse__class_Odivide(X2709,c_Groups_Oabs__class_Oabs(X2709,X2707),c_Groups_Oabs__class_Oabs(X2709,X2708)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__abs__divide])]) ).

fof(i_0_2140,plain,
    ! [X2591,X2592,X2593] :
      ( ~ class_RealVector_Oreal__normed__field(X2593)
      | X2592 = c_Groups_Ozero__class_Ozero(X2593)
      | c_RealVector_Onorm__class_Onorm(X2593,c_Rings_Oinverse__class_Odivide(X2593,X2591,X2592)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2593,X2591),c_RealVector_Onorm__class_Onorm(X2593,X2592)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__norm__divide])]) ).

cnf(i_0_2141,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_1461]) ).

cnf(i_0_2142,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_1462]) ).

cnf(i_0_2143,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1459]) ).

cnf(i_0_2144,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1460]) ).

fof(i_0_2145,plain,
    ! [X2905,X2906,X2907] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2907,c_Int_Onumber__class_Onumber__of(X2907,X2906),c_Int_Onumber__class_Onumber__of(X2907,X2905))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2906,X2905)
        | ~ class_Int_Onumber__ring(X2907)
        | ~ class_Rings_Olinordered__idom(X2907) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2906,X2905)
        | c_Orderings_Oord__class_Oless__eq(X2907,c_Int_Onumber__class_Onumber__of(X2907,X2906),c_Int_Onumber__class_Onumber__of(X2907,X2905))
        | ~ class_Int_Onumber__ring(X2907)
        | ~ class_Rings_Olinordered__idom(X2907) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__number__of])])]) ).

fof(i_0_2146,plain,
    ! [X2634,X2635,X2636] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2636,c_Int_Onumber__class_Onumber__of(X2636,X2635),c_Int_Onumber__class_Onumber__of(X2636,X2634))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2635,X2634)
        | ~ class_Int_Onumber__ring(X2636)
        | ~ class_Rings_Olinordered__idom(X2636) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2635,X2634)
        | c_Orderings_Oord__class_Oless(X2636,c_Int_Onumber__class_Onumber__of(X2636,X2635),c_Int_Onumber__class_Onumber__of(X2636,X2634))
        | ~ class_Int_Onumber__ring(X2636)
        | ~ class_Rings_Olinordered__idom(X2636) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__number__of])])]) ).

fof(i_0_2147,plain,
    ! [X3182,X3183,X3184,X3185] :
      ( ~ class_Orderings_Opreorder(X3185)
      | ~ c_Orderings_Oord__class_Oless__eq(X3185,X3184,X3183)
      | ~ c_Orderings_Oord__class_Oless__eq(X3185,X3183,X3182)
      | c_Orderings_Oord__class_Oless__eq(X3185,X3184,X3182) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__trans])]) ).

fof(i_0_2148,plain,
    ! [X3175,X3176,X3177,X3178] :
      ( ~ class_Orderings_Oorder(X3178)
      | ~ c_Orderings_Oord__class_Oless__eq(X3178,X3177,X3176)
      | ~ c_Orderings_Oord__class_Oless__eq(X3178,X3175,X3177)
      | c_Orderings_Oord__class_Oless__eq(X3178,X3175,X3176) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I6_J])]) ).

fof(i_0_2149,plain,
    ! [X3369,X3370,X3371,X3372] :
      ( ~ class_Orderings_Opreorder(X3372)
      | ~ c_Orderings_Oord__class_Oless(X3372,X3371,X3370)
      | ~ c_Orderings_Oord__class_Oless__eq(X3372,X3370,X3369)
      | c_Orderings_Oord__class_Oless(X3372,X3371,X3369) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__le__trans])]) ).

fof(i_0_2150,plain,
    ! [X3377,X3378,X3379,X3380] :
      ( ~ class_Orderings_Opreorder(X3380)
      | ~ c_Orderings_Oord__class_Oless__eq(X3380,X3379,X3378)
      | ~ c_Orderings_Oord__class_Oless(X3380,X3378,X3377)
      | c_Orderings_Oord__class_Oless(X3380,X3379,X3377) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__less__trans])]) ).

fof(i_0_2151,plain,
    ! [X3284,X3285,X3286,X3287] :
      ( ~ class_Orderings_Opreorder(X3287)
      | ~ c_Orderings_Oord__class_Oless(X3287,X3286,X3285)
      | ~ c_Orderings_Oord__class_Oless(X3287,X3285,X3284)
      | c_Orderings_Oord__class_Oless(X3287,X3286,X3284) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__trans])]) ).

fof(i_0_2152,plain,
    ! [X3373,X3374,X3375,X3376] :
      ( ~ class_Orderings_Oorder(X3376)
      | ~ c_Orderings_Oord__class_Oless(X3376,X3375,X3374)
      | ~ c_Orderings_Oord__class_Oless__eq(X3376,X3373,X3375)
      | c_Orderings_Oord__class_Oless(X3376,X3373,X3374) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I7_J])]) ).

fof(i_0_2153,plain,
    ! [X3381,X3382,X3383,X3384] :
      ( ~ class_Orderings_Oorder(X3384)
      | ~ c_Orderings_Oord__class_Oless__eq(X3384,X3383,X3382)
      | ~ c_Orderings_Oord__class_Oless(X3384,X3381,X3383)
      | c_Orderings_Oord__class_Oless(X3384,X3381,X3382) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I8_J])]) ).

fof(i_0_2154,plain,
    ! [X3288,X3289,X3290,X3291] :
      ( ~ class_Orderings_Oorder(X3291)
      | ~ c_Orderings_Oord__class_Oless(X3291,X3290,X3289)
      | ~ c_Orderings_Oord__class_Oless(X3291,X3288,X3290)
      | c_Orderings_Oord__class_Oless(X3291,X3288,X3289) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I10_J])]) ).

fof(i_0_2155,plain,
    ! [X3101,X3102,X3103] :
      ( ~ class_Groups_Oab__group__add(X3103)
      | c_Groups_Ominus__class_Ominus(X3103,c_Groups_Ouminus__class_Ouminus(X3103,X3102),c_Groups_Ouminus__class_Ouminus(X3103,X3101)) = c_Groups_Ouminus__class_Ouminus(X3103,c_Groups_Ominus__class_Ominus(X3103,X3102,X3101)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Limits_Ominus__diff__minus])]) ).

fof(i_0_2156,plain,
    ! [X4774,X4775,X4776] :
      ( ~ class_Rings_Olinordered__idom(X4776)
      | c_Groups_Oabs__class_Oabs(X4776,c_Groups_Otimes__class_Otimes(X4776,X4775,X4774)) = c_Groups_Otimes__class_Otimes(X4776,c_Groups_Oabs__class_Oabs(X4776,X4775),c_Groups_Oabs__class_Oabs(X4776,X4774)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult])]) ).

fof(i_0_2157,plain,
    ! [X2672,X2673,X2674] :
      ( ~ class_Fields_Olinordered__field__inverse__zero(X2674)
      | c_Groups_Oabs__class_Oabs(X2674,c_Rings_Oinverse__class_Odivide(X2674,X2673,X2672)) = c_Rings_Oinverse__class_Odivide(X2674,c_Groups_Oabs__class_Oabs(X2674,X2673),c_Groups_Oabs__class_Oabs(X2674,X2672)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__divide])]) ).

fof(i_0_2158,plain,
    ! [X3659,X3660,X3661] :
      ( ~ class_Groups_Oab__group__add(X3661)
      | c_Groups_Ouminus__class_Ouminus(X3661,c_Groups_Oplus__class_Oplus(X3661,X3660,X3659)) = c_Groups_Oplus__class_Oplus(X3661,c_Groups_Ouminus__class_Ouminus(X3661,X3660),c_Groups_Ouminus__class_Ouminus(X3661,X3659)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__add__distrib])]) ).

fof(i_0_2159,plain,
    ! [X3662,X3663,X3664] :
      ( ~ class_Groups_Ogroup__add(X3664)
      | c_Groups_Ouminus__class_Ouminus(X3664,c_Groups_Oplus__class_Oplus(X3664,X3663,X3662)) = c_Groups_Oplus__class_Oplus(X3664,c_Groups_Ouminus__class_Ouminus(X3664,X3662),c_Groups_Ouminus__class_Ouminus(X3664,X3663)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__add])]) ).

fof(i_0_2160,plain,
    ! [X4805,X4806,X4807] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X4807)
      | c_RealVector_Onorm__class_Onorm(X4807,c_Groups_Otimes__class_Otimes(X4807,X4806,X4805)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4807,X4806),c_RealVector_Onorm__class_Onorm(X4807,X4805)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult])]) ).

fof(i_0_2161,plain,
    ! [X4799,X4800,X4801] :
      ( ~ class_Int_Onumber__ring(X4801)
      | c_Groups_Otimes__class_Otimes(X4801,c_Int_Onumber__class_Onumber__of(X4801,X4800),c_Int_Onumber__class_Onumber__of(X4801,X4799)) = c_Int_Onumber__class_Onumber__of(X4801,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X4800,X4799)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_arith__simps_I32_J])]) ).

fof(i_0_2162,plain,
    ! [X3535,X3536,X3537] :
      ( ~ class_Int_Onumber__ring(X3537)
      | c_Groups_Oplus__class_Oplus(X3537,c_Int_Onumber__class_Onumber__of(X3537,X3536),c_Int_Onumber__class_Onumber__of(X3537,X3535)) = c_Int_Onumber__class_Onumber__of(X3537,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3536,X3535)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__number__of__eq])]) ).

fof(i_0_2163,plain,
    ! [X4802,X4803,X4804] :
      ( ~ class_Int_Onumber__ring(X4804)
      | c_Int_Onumber__class_Onumber__of(X4804,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X4803,X4802)) = c_Groups_Otimes__class_Otimes(X4804,c_Int_Onumber__class_Onumber__of(X4804,X4803),c_Int_Onumber__class_Onumber__of(X4804,X4802)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_number__of__mult])]) ).

fof(i_0_2164,plain,
    ! [X3532,X3533,X3534] :
      ( ~ class_Int_Onumber__ring(X3534)
      | c_Int_Onumber__class_Onumber__of(X3534,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3533,X3532)) = c_Groups_Oplus__class_Oplus(X3534,c_Int_Onumber__class_Onumber__of(X3534,X3533),c_Int_Onumber__class_Onumber__of(X3534,X3532)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_number__of__add])]) ).

fof(i_0_2165,plain,
    ! [X2637,X2638,X2639] :
      ( ~ class_Int_Onumber__ring(X2639)
      | c_Int_Onumber__class_Onumber__of(X2639,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2638,X2637)) = c_Groups_Ominus__class_Ominus(X2639,c_Int_Onumber__class_Onumber__of(X2639,X2638),c_Int_Onumber__class_Onumber__of(X2639,X2637)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_number__of__diff])]) ).

fof(i_0_2166,plain,
    ! [X2585,X2586] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2586,c_Int_Onumber__class_Onumber__of(X2586,X2585),c_Groups_Ozero__class_Ozero(X2586))
        | c_Groups_Oabs__class_Oabs(X2586,c_Int_Onumber__class_Onumber__of(X2586,X2585)) = c_Groups_Ouminus__class_Ouminus(X2586,c_Int_Onumber__class_Onumber__of(X2586,X2585))
        | ~ class_Int_Onumber__ring(X2586)
        | ~ class_Rings_Olinordered__idom(X2586) )
      & ( c_Orderings_Oord__class_Oless(X2586,c_Int_Onumber__class_Onumber__of(X2586,X2585),c_Groups_Ozero__class_Ozero(X2586))
        | c_Groups_Oabs__class_Oabs(X2586,c_Int_Onumber__class_Onumber__of(X2586,X2585)) = c_Int_Onumber__class_Onumber__of(X2586,X2585)
        | ~ class_Int_Onumber__ring(X2586)
        | ~ class_Rings_Olinordered__idom(X2586) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1481])])]) ).

fof(i_0_2167,plain,
    ! [X3385,X3386,X3387] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3387,c_Groups_Ouminus__class_Ouminus(X3387,X3386),c_Groups_Ouminus__class_Ouminus(X3387,X3385))
        | c_Orderings_Oord__class_Oless__eq(X3387,X3385,X3386)
        | ~ class_Lattices_Oboolean__algebra(X3387) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3387,X3385,X3386)
        | c_Orderings_Oord__class_Oless__eq(X3387,c_Groups_Ouminus__class_Ouminus(X3387,X3386),c_Groups_Ouminus__class_Ouminus(X3387,X3385))
        | ~ class_Lattices_Oboolean__algebra(X3387) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_compl__le__compl__iff])])]) ).

fof(i_0_2168,plain,
    ! [X2950,X2951,X2952] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2952,c_Groups_Ouminus__class_Ouminus(X2952,X2951),c_Groups_Ouminus__class_Ouminus(X2952,X2950))
        | c_Orderings_Oord__class_Oless__eq(X2952,X2950,X2951)
        | ~ class_Groups_Oordered__ab__group__add(X2952) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2952,X2950,X2951)
        | c_Orderings_Oord__class_Oless__eq(X2952,c_Groups_Ouminus__class_Ouminus(X2952,X2951),c_Groups_Ouminus__class_Ouminus(X2952,X2950))
        | ~ class_Groups_Oordered__ab__group__add(X2952) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__le__iff__le])])]) ).

fof(i_0_2169,plain,
    ! [X2817,X2818,X2819] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2819,c_Groups_Ouminus__class_Ouminus(X2819,X2818),c_Groups_Ouminus__class_Ouminus(X2819,X2817))
        | c_Orderings_Oord__class_Oless(X2819,X2817,X2818)
        | ~ class_Groups_Oordered__ab__group__add(X2819) )
      & ( ~ c_Orderings_Oord__class_Oless(X2819,X2817,X2818)
        | c_Orderings_Oord__class_Oless(X2819,c_Groups_Ouminus__class_Ouminus(X2819,X2818),c_Groups_Ouminus__class_Ouminus(X2819,X2817))
        | ~ class_Groups_Oordered__ab__group__add(X2819) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__less__iff__less])])]) ).

cnf(i_0_2170,plain,
    c_Power_Opower__class_Opower(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[i_0_1482]) ).

fof(i_0_2171,plain,
    ! [X4451,X4452,X4453] :
      ( ~ class_Rings_Olinordered__idom(X4453)
      | c_Orderings_Oord__class_Oless__eq(X4453,c_Groups_Ozero__class_Ozero(X4453),c_Power_Opower__class_Opower(X4453,c_Groups_Oabs__class_Oabs(X4453,X4452),X4451)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__power__abs])]) ).

fof(i_0_2172,plain,
    ! [X4280,X4281,X4282] :
      ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4281,X4282) != X4280
        | X4281 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4280,X4282)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4282,X4281) )
      & ( X4281 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4280,X4282)
        | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4281,X4282) = X4280
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4282,X4281) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__diff__is__add])])]) ).

fof(i_0_2173,plain,
    ! [X4784,X4785,X4786] :
      ( ~ class_Lattices_Oab__semigroup__idem__mult(X4786)
      | c_Groups_Otimes__class_Otimes(X4786,X4785,c_Groups_Otimes__class_Otimes(X4786,X4785,X4784)) = c_Groups_Otimes__class_Otimes(X4786,X4785,X4784) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__idem])]) ).

fof(i_0_2174,plain,
    ! [X3665,X3666,X3667] :
      ( ~ class_Groups_Ogroup__add(X3667)
      | c_Groups_Oplus__class_Oplus(X3667,X3666,c_Groups_Oplus__class_Oplus(X3667,c_Groups_Ouminus__class_Ouminus(X3667,X3666),X3665)) = X3665 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__minus__cancel])]) ).

fof(i_0_2175,plain,
    ! [X2913,X2914,X2915] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2915,X2914)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2914,X2913)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2915,X2913) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__trans])]) ).

fof(i_0_2176,plain,
    ! [X3116,X3117,X3118] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3118,X3117)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3117,X3116)
      | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3118,X3116) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__trans])]) ).

fof(i_0_2177,plain,
    ! [X3402,X3403,X3404] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3404,X3403)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3403,X3402)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3404,X3402) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).

cnf(i_0_2178,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_1444]) ).

cnf(i_0_2179,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X2),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1423]) ).

cnf(i_0_2180,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Nat_OSuc(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1424]) ).

fof(i_0_2181,plain,
    ! [X2861,X2862,X2863] :
      ( ~ class_Rings_Ocomm__ring(X2863)
      | hAPP(c_Polynomial_Opoly(X2863,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X2863),X2862)),X2861) = c_Groups_Ouminus__class_Ouminus(X2863,hAPP(c_Polynomial_Opoly(X2863,X2862),X2861)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__minus])]) ).

fof(i_0_2182,plain,
    ! [X3011,X3012,X3013] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3013)
      | ~ c_Orderings_Oord__class_Oless__eq(X3013,c_Groups_Oabs__class_Oabs(X3013,X3012),X3011)
      | c_Orderings_Oord__class_Oless__eq(X3013,c_Groups_Ouminus__class_Ouminus(X3013,X3012),X3011) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__D2])]) ).

fof(i_0_2183,plain,
    ! [X2953,X2954,X2955] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2955,c_Groups_Ouminus__class_Ouminus(X2955,X2954),X2953)
        | c_Orderings_Oord__class_Oless__eq(X2955,c_Groups_Ouminus__class_Ouminus(X2955,X2953),X2954)
        | ~ class_Groups_Oordered__ab__group__add(X2955) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2955,c_Groups_Ouminus__class_Ouminus(X2955,X2953),X2954)
        | c_Orderings_Oord__class_Oless__eq(X2955,c_Groups_Ouminus__class_Ouminus(X2955,X2954),X2953)
        | ~ class_Groups_Oordered__ab__group__add(X2955) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__le__iff])])]) ).

fof(i_0_2184,plain,
    ! [X2814,X2815,X2816] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2816,c_Groups_Ouminus__class_Ouminus(X2816,X2815),X2814)
        | c_Orderings_Oord__class_Oless(X2816,c_Groups_Ouminus__class_Ouminus(X2816,X2814),X2815)
        | ~ class_Groups_Oordered__ab__group__add(X2816) )
      & ( ~ c_Orderings_Oord__class_Oless(X2816,c_Groups_Ouminus__class_Ouminus(X2816,X2814),X2815)
        | c_Orderings_Oord__class_Oless(X2816,c_Groups_Ouminus__class_Ouminus(X2816,X2815),X2814)
        | ~ class_Groups_Oordered__ab__group__add(X2816) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__less__iff])])]) ).

fof(i_0_2185,plain,
    ! [X2956,X2957,X2958] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2958,X2957,c_Groups_Ouminus__class_Ouminus(X2958,X2956))
        | c_Orderings_Oord__class_Oless__eq(X2958,X2956,c_Groups_Ouminus__class_Ouminus(X2958,X2957))
        | ~ class_Groups_Oordered__ab__group__add(X2958) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2958,X2956,c_Groups_Ouminus__class_Ouminus(X2958,X2957))
        | c_Orderings_Oord__class_Oless__eq(X2958,X2957,c_Groups_Ouminus__class_Ouminus(X2958,X2956))
        | ~ class_Groups_Oordered__ab__group__add(X2958) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__minus__iff])])]) ).

fof(i_0_2186,plain,
    ! [X2811,X2812,X2813] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2813,X2812,c_Groups_Ouminus__class_Ouminus(X2813,X2811))
        | c_Orderings_Oord__class_Oless(X2813,X2811,c_Groups_Ouminus__class_Ouminus(X2813,X2812))
        | ~ class_Groups_Oordered__ab__group__add(X2813) )
      & ( ~ c_Orderings_Oord__class_Oless(X2813,X2811,c_Groups_Ouminus__class_Ouminus(X2813,X2812))
        | c_Orderings_Oord__class_Oless(X2813,X2812,c_Groups_Ouminus__class_Ouminus(X2813,X2811))
        | ~ class_Groups_Oordered__ab__group__add(X2813) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__minus__iff])])]) ).

fof(i_0_2187,plain,
    ! [X4206,X4207] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X4207),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X4206)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4207,X4206)),
    inference(variable_rename,[status(thm)],[fact_plus__numeral__code_I9_J]) ).

fof(i_0_2188,plain,
    ! [X4303,X4304] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4304,X4303)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4304),c_RealDef_Oreal(tc_Nat_Onat,X4303)),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__add]) ).

cnf(i_0_2189,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(X1)) = c_Int_OBit0(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),
    inference(split_conjunct,[status(thm)],[i_0_1483]) ).

fof(i_0_2190,plain,
    ! [X4225,X4226] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4226,X4225)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4226),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4225)),
    inference(variable_rename,[status(thm)],[fact_zminus__zadd__distrib]) ).

fof(i_0_2191,plain,
    ! [X2729,X2730,X2731] :
      ( ~ class_Rings_Odivision__ring(X2731)
      | X2730 = c_Groups_Ozero__class_Ozero(X2731)
      | c_Groups_Ouminus__class_Ouminus(X2731,c_Rings_Oinverse__class_Odivide(X2731,X2729,X2730)) = c_Rings_Oinverse__class_Odivide(X2731,X2729,c_Groups_Ouminus__class_Ouminus(X2731,X2730)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__minus__divide__right])]) ).

cnf(i_0_2192,plain,
    ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1457]) ).

cnf(i_0_2193,plain,
    ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
    | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1457]) ).

cnf(i_0_2194,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1458]) ).

cnf(i_0_2195,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1458]) ).

fof(i_0_2196,plain,
    ! [X4041] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X4041))),
    inference(variable_rename,[status(thm)],[fact_abs__add__one__gt__zero]) ).

fof(i_0_2197,plain,
    ! [X4266,X4267] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4267,X4266)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4266,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4267,X4266)) = X4267 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1484])]) ).

fof(i_0_2198,plain,
    ! [X3848,X3849] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3849),c_RealDef_Oreal(tc_Nat_Onat,X3848))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3849,X3848) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3849,X3848)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3849),c_RealDef_Oreal(tc_Nat_Onat,X3848)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__le__iff])]) ).

fof(i_0_2199,plain,
    ! [X3136,X3137] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X3137),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X3136))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3137,X3136) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3137,X3136)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X3137),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X3136)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__number__of__int__code])]) ).

fof(i_0_2200,plain,
    ! [X3809,X3810] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3810),c_RealDef_Oreal(tc_Nat_Onat,X3809))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3810,X3809) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3810,X3809)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3810),c_RealDef_Oreal(tc_Nat_Onat,X3809)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__less__iff])]) ).

fof(i_0_2201,plain,
    ! [X2751,X2752] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2752),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2751))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2752,X2751) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2752,X2751)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2752),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2751)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__number__of__int__code])]) ).

fof(i_0_2202,plain,
    ! [X4616,X4617,X4618] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4618)
      | c_Groups_Otimes__class_Otimes(X4618,c_Groups_Ouminus__class_Ouminus(X4618,X4617),X4616) = c_Groups_Ouminus__class_Ouminus(X4618,c_Groups_Otimes__class_Otimes(X4618,X4617,X4616)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ominus__left])]) ).

fof(i_0_2203,plain,
    ! [X4613,X4614,X4615] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4615)
      | c_Groups_Otimes__class_Otimes(X4615,c_Groups_Ouminus__class_Ouminus(X4615,X4614),X4613) = c_Groups_Ouminus__class_Ouminus(X4615,c_Groups_Otimes__class_Otimes(X4615,X4614,X4613)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Ominus])]) ).

fof(i_0_2204,plain,
    ! [X2664,X2665,X2666] :
      ( ~ class_RealVector_Oreal__normed__field(X2666)
      | c_Rings_Oinverse__class_Odivide(X2666,c_Groups_Ouminus__class_Ouminus(X2666,X2665),X2664) = c_Groups_Ouminus__class_Ouminus(X2666,c_Rings_Oinverse__class_Odivide(X2666,X2665,X2664)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Ominus])]) ).

fof(i_0_2205,plain,
    ! [X4622,X4623,X4624] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4624)
      | c_Groups_Otimes__class_Otimes(X4624,X4623,c_Groups_Ouminus__class_Ouminus(X4624,X4622)) = c_Groups_Ouminus__class_Ouminus(X4624,c_Groups_Otimes__class_Otimes(X4624,X4623,X4622)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ominus__right])]) ).

fof(i_0_2206,plain,
    ! [X4619,X4620,X4621] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4621)
      | c_Groups_Otimes__class_Otimes(X4621,X4620,c_Groups_Ouminus__class_Ouminus(X4621,X4619)) = c_Groups_Ouminus__class_Ouminus(X4621,c_Groups_Otimes__class_Otimes(X4621,X4620,X4619)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Ominus])]) ).

fof(i_0_2207,plain,
    ! [X4387,X4388,X4389] :
      ( ~ class_Rings_Olinordered__idom(X4389)
      | c_Groups_Oabs__class_Oabs(X4389,c_Power_Opower__class_Opower(X4389,X4388,X4387)) = c_Power_Opower__class_Opower(X4389,c_Groups_Oabs__class_Oabs(X4389,X4388),X4387) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__abs])]) ).

fof(i_0_2208,plain,
    ! [X4634,X4635,X4636] :
      ( ~ class_Rings_Oring(X4636)
      | c_Groups_Ouminus__class_Ouminus(X4636,c_Groups_Otimes__class_Otimes(X4636,X4635,X4634)) = c_Groups_Otimes__class_Otimes(X4636,c_Groups_Ouminus__class_Ouminus(X4636,X4635),X4634) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__left])]) ).

fof(i_0_2209,plain,
    ! [X2834,X2835,X2836] :
      ( ~ class_Rings_Odivision__ring(X2836)
      | c_Groups_Ouminus__class_Ouminus(X2836,c_Rings_Oinverse__class_Odivide(X2836,X2835,X2834)) = c_Rings_Oinverse__class_Odivide(X2836,c_Groups_Ouminus__class_Ouminus(X2836,X2835),X2834) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__left])]) ).

fof(i_0_2210,plain,
    ! [X4637,X4638,X4639] :
      ( ~ class_Rings_Oring(X4639)
      | c_Groups_Ouminus__class_Ouminus(X4639,c_Groups_Otimes__class_Otimes(X4639,X4638,X4637)) = c_Groups_Otimes__class_Otimes(X4639,X4638,c_Groups_Ouminus__class_Ouminus(X4639,X4637)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__right])]) ).

fof(i_0_2211,plain,
    ! [X2667,X2668,X2669] :
      ( ~ class_Fields_Ofield__inverse__zero(X2669)
      | c_Groups_Ouminus__class_Ouminus(X2669,c_Rings_Oinverse__class_Odivide(X2669,X2668,X2667)) = c_Rings_Oinverse__class_Odivide(X2669,X2668,c_Groups_Ouminus__class_Ouminus(X2669,X2667)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__right])]) ).

fof(i_0_2212,plain,
    ! [X2852,X2853,X2854,X2855] :
      ( ( ~ c_SEQ_Osubseq(X2852)
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2853,X2854)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2852,X2853),hAPP(X2852,X2854)) )
      & ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk3_1(X2855),esk4_1(X2855))
        | c_SEQ_Osubseq(X2855) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2855,esk3_1(X2855)),hAPP(X2855,esk4_1(X2855)))
        | c_SEQ_Osubseq(X2855) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_subseq__def])])])])])]) ).

fof(i_0_2213,plain,
    ! [X3529,X3530,X3531] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3531)
      | c_RealVector_Onorm__class_Onorm(X3531,c_Power_Opower__class_Opower(X3531,X3530,X3529)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3531,X3530),X3529) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__power])]) ).

cnf(i_0_2214,plain,
    ( c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1480]) ).

fof(i_0_2215,plain,
    ! [X4016,X4017] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4017),X4016)),
    inference(variable_rename,[status(thm)],[fact_zero__le__zpower__abs]) ).

fof(i_0_2216,plain,
    ! [X2976,X2977] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2977,c_Groups_Ouminus__class_Ouminus(X2977,X2976),c_Groups_Ozero__class_Ozero(X2977))
        | c_Orderings_Oord__class_Oless__eq(X2977,c_Groups_Ozero__class_Ozero(X2977),X2976)
        | ~ class_Groups_Oordered__ab__group__add(X2977) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2977,c_Groups_Ozero__class_Ozero(X2977),X2976)
        | c_Orderings_Oord__class_Oless__eq(X2977,c_Groups_Ouminus__class_Ouminus(X2977,X2976),c_Groups_Ozero__class_Ozero(X2977))
        | ~ class_Groups_Oordered__ab__group__add(X2977) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__le__0__iff__le])])]) ).

fof(i_0_2217,plain,
    ! [X2849,X2850] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2850,c_Groups_Ouminus__class_Ouminus(X2850,X2849),c_Groups_Ozero__class_Ozero(X2850))
        | c_Orderings_Oord__class_Oless(X2850,c_Groups_Ozero__class_Ozero(X2850),X2849)
        | ~ class_Groups_Oordered__ab__group__add(X2850) )
      & ( ~ c_Orderings_Oord__class_Oless(X2850,c_Groups_Ozero__class_Ozero(X2850),X2849)
        | c_Orderings_Oord__class_Oless(X2850,c_Groups_Ouminus__class_Ouminus(X2850,X2849),c_Groups_Ozero__class_Ozero(X2850))
        | ~ class_Groups_Oordered__ab__group__add(X2850) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__less__0__iff__less])])]) ).

fof(i_0_2218,plain,
    ! [X2980,X2981] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2981,c_Groups_Ozero__class_Ozero(X2981),c_Groups_Ouminus__class_Ouminus(X2981,X2980))
        | c_Orderings_Oord__class_Oless__eq(X2981,X2980,c_Groups_Ozero__class_Ozero(X2981))
        | ~ class_Groups_Oordered__ab__group__add(X2981) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2981,X2980,c_Groups_Ozero__class_Ozero(X2981))
        | c_Orderings_Oord__class_Oless__eq(X2981,c_Groups_Ozero__class_Ozero(X2981),c_Groups_Ouminus__class_Ouminus(X2981,X2980))
        | ~ class_Groups_Oordered__ab__group__add(X2981) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__0__le__iff__le])])]) ).

fof(i_0_2219,plain,
    ! [X2845,X2846] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2846,c_Groups_Ozero__class_Ozero(X2846),c_Groups_Ouminus__class_Ouminus(X2846,X2845))
        | c_Orderings_Oord__class_Oless(X2846,X2845,c_Groups_Ozero__class_Ozero(X2846))
        | ~ class_Groups_Oordered__ab__group__add(X2846) )
      & ( ~ c_Orderings_Oord__class_Oless(X2846,X2845,c_Groups_Ozero__class_Ozero(X2846))
        | c_Orderings_Oord__class_Oless(X2846,c_Groups_Ozero__class_Ozero(X2846),c_Groups_Ouminus__class_Ouminus(X2846,X2845))
        | ~ class_Groups_Oordered__ab__group__add(X2846) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__0__less__iff__less])])]) ).

fof(i_0_2220,plain,
    ! [X3330,X3331,X3332] :
      ( ( c_Orderings_Oord__class_Oless__eq(X3332,X3331,X3330)
        | ~ c_Orderings_Oord__class_Oless(X3332,X3331,X3330)
        | ~ class_Orderings_Opreorder(X3332) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3332,X3330,X3331)
        | ~ c_Orderings_Oord__class_Oless(X3332,X3331,X3330)
        | ~ class_Orderings_Opreorder(X3332) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3332,X3331,X3330)
        | c_Orderings_Oord__class_Oless__eq(X3332,X3330,X3331)
        | c_Orderings_Oord__class_Oless(X3332,X3331,X3330)
        | ~ class_Orderings_Opreorder(X3332) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1485])])]) ).

fof(i_0_2221,plain,
    ! [X2966,X2967] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2967,c_Groups_Ozero__class_Ozero(X2967),c_Int_Onumber__class_Onumber__of(X2967,X2966))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X2966)
        | ~ class_Int_Onumber__ring(X2967)
        | ~ class_Rings_Olinordered__idom(X2967) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X2966)
        | c_Orderings_Oord__class_Oless__eq(X2967,c_Groups_Ozero__class_Ozero(X2967),c_Int_Onumber__class_Onumber__of(X2967,X2966))
        | ~ class_Int_Onumber__ring(X2967)
        | ~ class_Rings_Olinordered__idom(X2967) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__special_I1_J])])]) ).

fof(i_0_2222,plain,
    ! [X2717,X2718] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2718,c_Groups_Ozero__class_Ozero(X2718),c_Int_Onumber__class_Onumber__of(X2718,X2717))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2717)
        | ~ class_Int_Onumber__ring(X2718)
        | ~ class_Rings_Olinordered__idom(X2718) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2717)
        | c_Orderings_Oord__class_Oless(X2718,c_Groups_Ozero__class_Ozero(X2718),c_Int_Onumber__class_Onumber__of(X2718,X2717))
        | ~ class_Int_Onumber__ring(X2718)
        | ~ class_Rings_Olinordered__idom(X2718) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__special_I1_J])])]) ).

fof(i_0_2223,plain,
    ! [X2964,X2965] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2965,c_Int_Onumber__class_Onumber__of(X2965,X2964),c_Groups_Ozero__class_Ozero(X2965))
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2964,c_Int_OPls)
        | ~ class_Int_Onumber__ring(X2965)
        | ~ class_Rings_Olinordered__idom(X2965) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2964,c_Int_OPls)
        | c_Orderings_Oord__class_Oless__eq(X2965,c_Int_Onumber__class_Onumber__of(X2965,X2964),c_Groups_Ozero__class_Ozero(X2965))
        | ~ class_Int_Onumber__ring(X2965)
        | ~ class_Rings_Olinordered__idom(X2965) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__special_I3_J])])]) ).

fof(i_0_2224,plain,
    ! [X2715,X2716] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2716,c_Int_Onumber__class_Onumber__of(X2716,X2715),c_Groups_Ozero__class_Ozero(X2716))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2715,c_Int_OPls)
        | ~ class_Int_Onumber__ring(X2716)
        | ~ class_Rings_Olinordered__idom(X2716) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2715,c_Int_OPls)
        | c_Orderings_Oord__class_Oless(X2716,c_Int_Onumber__class_Onumber__of(X2716,X2715),c_Groups_Ozero__class_Ozero(X2716))
        | ~ class_Int_Onumber__ring(X2716)
        | ~ class_Rings_Olinordered__idom(X2716) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__special_I3_J])])]) ).

cnf(i_0_2225,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[i_0_1486]) ).

fof(i_0_2226,plain,
    ! [X3110,X3111,X3112] :
      ( ~ class_Lattices_Oboolean__algebra(X3112)
      | ~ c_Orderings_Oord__class_Oless__eq(X3112,X3111,X3110)
      | c_Orderings_Oord__class_Oless__eq(X3112,c_Groups_Ouminus__class_Ouminus(X3112,X3110),c_Groups_Ouminus__class_Ouminus(X3112,X3111)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_compl__mono])]) ).

fof(i_0_2227,plain,
    ! [X2947,X2948,X2949] :
      ( ~ class_Groups_Oordered__ab__group__add(X2949)
      | ~ c_Orderings_Oord__class_Oless__eq(X2949,X2948,X2947)
      | c_Orderings_Oord__class_Oless__eq(X2949,c_Groups_Ouminus__class_Ouminus(X2949,X2947),c_Groups_Ouminus__class_Ouminus(X2949,X2948)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__neg__le])]) ).

fof(i_0_2228,plain,
    ! [X3989] :
      ( ~ class_Rings_Olinordered__semidom(X3989)
      | c_Orderings_Oord__class_Oless(X3989,c_Groups_Ozero__class_Ozero(X3989),c_Groups_Oplus__class_Oplus(X3989,c_Groups_Oone__class_Oone(X3989),c_Groups_Oone__class_Oone(X3989))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__two])]) ).

fof(i_0_2229,plain,
    ! [X4625,X4626,X4627] :
      ( ( c_Groups_Otimes__class_Otimes(X4627,X4626,X4626) != c_Groups_Otimes__class_Otimes(X4627,X4625,X4625)
        | X4626 = X4625
        | X4626 = c_Groups_Ouminus__class_Ouminus(X4627,X4625)
        | ~ class_Rings_Oidom(X4627) )
      & ( X4626 != X4625
        | c_Groups_Otimes__class_Otimes(X4627,X4626,X4626) = c_Groups_Otimes__class_Otimes(X4627,X4625,X4625)
        | ~ class_Rings_Oidom(X4627) )
      & ( X4626 != c_Groups_Ouminus__class_Ouminus(X4627,X4625)
        | c_Groups_Otimes__class_Otimes(X4627,X4626,X4626) = c_Groups_Otimes__class_Otimes(X4627,X4625,X4625)
        | ~ class_Rings_Oidom(X4627) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_square__eq__iff])])]) ).

fof(i_0_2230,plain,
    ! [X3668,X3669,X3670] :
      ( ~ class_Groups_Ogroup__add(X3670)
      | c_Groups_Oplus__class_Oplus(X3670,c_Groups_Ouminus__class_Ouminus(X3670,X3669),c_Groups_Oplus__class_Oplus(X3670,X3669,X3668)) = X3668 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__add__cancel])]) ).

fof(i_0_2231,plain,
    ! [X2974,X2975] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2975,c_Groups_Ouminus__class_Ouminus(X2975,X2974),X2974)
        | c_Orderings_Oord__class_Oless__eq(X2975,c_Groups_Ozero__class_Ozero(X2975),X2974)
        | ~ class_Groups_Olinordered__ab__group__add(X2975) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2975,c_Groups_Ozero__class_Ozero(X2975),X2974)
        | c_Orderings_Oord__class_Oless__eq(X2975,c_Groups_Ouminus__class_Ouminus(X2975,X2974),X2974)
        | ~ class_Groups_Olinordered__ab__group__add(X2975) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__le__self__iff])])]) ).

fof(i_0_2232,plain,
    ! [X2741,X2742] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2742,c_Groups_Ouminus__class_Ouminus(X2742,X2741),X2741)
        | c_Orderings_Oord__class_Oless(X2742,c_Groups_Ozero__class_Ozero(X2742),X2741)
        | ~ class_Groups_Olinordered__ab__group__add(X2742) )
      & ( ~ c_Orderings_Oord__class_Oless(X2742,c_Groups_Ozero__class_Ozero(X2742),X2741)
        | c_Orderings_Oord__class_Oless(X2742,c_Groups_Ouminus__class_Ouminus(X2742,X2741),X2741)
        | ~ class_Groups_Olinordered__ab__group__add(X2742) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__less__nonneg])])]) ).

fof(i_0_2233,plain,
    ! [X2978,X2979] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2979,X2978,c_Groups_Ouminus__class_Ouminus(X2979,X2978))
        | c_Orderings_Oord__class_Oless__eq(X2979,X2978,c_Groups_Ozero__class_Ozero(X2979))
        | ~ class_Groups_Olinordered__ab__group__add(X2979) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X2979,X2978,c_Groups_Ozero__class_Ozero(X2979))
        | c_Orderings_Oord__class_Oless__eq(X2979,X2978,c_Groups_Ouminus__class_Ouminus(X2979,X2978))
        | ~ class_Groups_Olinordered__ab__group__add(X2979) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__minus__self__iff])])]) ).

fof(i_0_2234,plain,
    ! [X2847,X2848] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2848,X2847,c_Groups_Ouminus__class_Ouminus(X2848,X2847))
        | c_Orderings_Oord__class_Oless(X2848,X2847,c_Groups_Ozero__class_Ozero(X2848))
        | ~ class_Rings_Olinordered__idom(X2848) )
      & ( ~ c_Orderings_Oord__class_Oless(X2848,X2847,c_Groups_Ozero__class_Ozero(X2848))
        | c_Orderings_Oord__class_Oless(X2848,X2847,c_Groups_Ouminus__class_Ouminus(X2848,X2847))
        | ~ class_Rings_Olinordered__idom(X2848) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__minus__self__iff])])]) ).

fof(i_0_2235,plain,
    ! [X3525,X3526] : c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3526),X3525) = c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X3526,X3525)),
    inference(variable_rename,[status(thm)],[fact_power__real__of__nat]) ).

fof(i_0_2236,plain,
    ! [X3523,X3524] : c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X3524,X3523)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3524),X3523),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__power]) ).

fof(i_0_2237,plain,
    ! [X3058,X3059,X3060] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3059,X3060)
        | hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | X3060 = X3059
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3060,X3059) )
      & ( ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | X3060 = X3059
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3060,X3059) )
      & ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3059,X3060)
        | hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3060,X3059) )
      & ( ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3060,X3059) )
      & ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3059,X3060)
        | hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | X3060 = X3059
        | ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060)) )
      & ( ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | X3060 = X3059
        | ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060)) )
      & ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3059,X3060)
        | hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060)) )
      & ( ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060))
        | ~ hBOOL(hAPP(hAPP(X3058,X3059),X3060)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__cases])])]) ).

fof(i_0_2238,plain,
    ! [X2959,X2960,X2961] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2961)
      | ~ c_Orderings_Oord__class_Oless__eq(X2961,c_Groups_Oabs__class_Oabs(X2961,X2960),X2959)
      | c_Orderings_Oord__class_Oless__eq(X2961,X2960,X2959) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__D1])]) ).

cnf(i_0_2239,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Ozero__class_Ozero(X1),c_Nat_OSuc(X2)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Power_Opower(X1)
    | ~ class_Rings_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1487]) ).

fof(i_0_2240,plain,
    ! [X2766,X2767,X2768,X2769,X2770] :
      ( ( X2769 != X2768
        | X2767 = X2766
        | c_Groups_Ominus__class_Ominus(X2770,X2769,X2768) != c_Groups_Ominus__class_Ominus(X2770,X2767,X2766)
        | ~ class_Groups_Oab__group__add(X2770) )
      & ( X2767 != X2766
        | X2769 = X2768
        | c_Groups_Ominus__class_Ominus(X2770,X2769,X2768) != c_Groups_Ominus__class_Ominus(X2770,X2767,X2766)
        | ~ class_Groups_Oab__group__add(X2770) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__eq])])]) ).

cnf(i_0_2241,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1457]) ).

cnf(i_0_2242,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1458]) ).

fof(i_0_2243,plain,
    ! [X3357,X3358,X3359] :
      ( ( c_Orderings_Oord__class_Oless(X3359,X3358,X3357)
        | X3358 = X3357
        | ~ c_Orderings_Oord__class_Oless__eq(X3359,X3358,X3357)
        | ~ class_Orderings_Olinorder(X3359) )
      & ( X3358 != X3357
        | ~ c_Orderings_Oord__class_Oless(X3359,X3358,X3357)
        | ~ c_Orderings_Oord__class_Oless__eq(X3359,X3358,X3357)
        | ~ class_Orderings_Olinorder(X3359) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1488])])]) ).

fof(i_0_2244,plain,
    ! [X2824,X2825,X2826] :
      ( ~ class_Groups_Oab__group__add(X2826)
      | c_Groups_Ouminus__class_Ouminus(X2826,c_Groups_Ominus__class_Ominus(X2826,X2825,X2824)) = c_Groups_Ominus__class_Ominus(X2826,X2824,X2825) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__diff__eq])]) ).

fof(i_0_2245,plain,
    ! [X3216,X3217,X3218] :
      ( ( c_Orderings_Oord__class_Oless__eq(X3218,X3217,X3216)
        | X3217 != X3216
        | ~ class_Orderings_Oorder(X3218) )
      & ( c_Orderings_Oord__class_Oless__eq(X3218,X3216,X3217)
        | X3217 != X3216
        | ~ class_Orderings_Oorder(X3218) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3218,X3217,X3216)
        | ~ c_Orderings_Oord__class_Oless__eq(X3218,X3216,X3217)
        | X3217 = X3216
        | ~ class_Orderings_Oorder(X3218) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__eq__iff])])]) ).

fof(i_0_2246,plain,
    ! [X3205,X3206,X3207] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3207,X3205,X3206)
        | X3205 = X3206
        | ~ c_Orderings_Oord__class_Oless__eq(X3207,X3206,X3205)
        | ~ class_Orderings_Oorder(X3207) )
      & ( X3205 != X3206
        | c_Orderings_Oord__class_Oless__eq(X3207,X3205,X3206)
        | ~ c_Orderings_Oord__class_Oless__eq(X3207,X3206,X3205)
        | ~ class_Orderings_Oorder(X3207) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__antisym__conv])])]) ).

fof(i_0_2247,plain,
    ! [X3186,X3187,X3188] :
      ( ~ class_Orderings_Oorder(X3188)
      | ~ c_Orderings_Oord__class_Oless__eq(X3188,X3187,X3186)
      | ~ c_Orderings_Oord__class_Oless__eq(X3188,X3186,X3187)
      | X3187 = X3186 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__antisym])]) ).

fof(i_0_2248,plain,
    ! [X3179,X3180,X3181] :
      ( ~ class_Orderings_Oorder(X3181)
      | ~ c_Orderings_Oord__class_Oless__eq(X3181,X3180,X3179)
      | ~ c_Orderings_Oord__class_Oless__eq(X3181,X3179,X3180)
      | X3179 = X3180 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I5_J])]) ).

fof(i_0_2249,plain,
    ! [X4038] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4038))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4038) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4038)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4038)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__gt__zero__cancel__iff])]) ).

fof(i_0_2250,plain,
    ! [X3860,X3861] :
      ( ~ class_Rings_Olinordered__semidom(X3861)
      | c_Orderings_Oord__class_Oless(X3861,X3860,c_Groups_Oplus__class_Oplus(X3861,X3860,c_Groups_Oone__class_Oone(X3861))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__one])]) ).

fof(i_0_2251,plain,
    ! [X4477,X4478,X4479] :
      ( ( X4478 = c_Groups_Ozero__class_Ozero(X4479)
        | c_Power_Opower__class_Opower(X4479,X4478,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4477)) != c_Groups_Ozero__class_Ozero(X4479)
        | ~ class_Power_Opower(X4479)
        | ~ class_Rings_Omult__zero(X4479)
        | ~ class_Rings_Ono__zero__divisors(X4479)
        | ~ class_Rings_Ozero__neq__one(X4479) )
      & ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4477) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Power_Opower__class_Opower(X4479,X4478,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4477)) != c_Groups_Ozero__class_Ozero(X4479)
        | ~ class_Power_Opower(X4479)
        | ~ class_Rings_Omult__zero(X4479)
        | ~ class_Rings_Ono__zero__divisors(X4479)
        | ~ class_Rings_Ozero__neq__one(X4479) )
      & ( X4478 != c_Groups_Ozero__class_Ozero(X4479)
        | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4477) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Power_Opower__class_Opower(X4479,X4478,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4477)) = c_Groups_Ozero__class_Ozero(X4479)
        | ~ class_Power_Opower(X4479)
        | ~ class_Rings_Omult__zero(X4479)
        | ~ class_Rings_Ono__zero__divisors(X4479)
        | ~ class_Rings_Ozero__neq__one(X4479) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__0__iff__number__of])])]) ).

fof(i_0_2252,plain,
    ! [X3566,X3567,X3568,X3569] :
      ( ~ class_Groups_Ocancel__semigroup__add(X3569)
      | c_Groups_Oplus__class_Oplus(X3569,X3568,X3567) != c_Groups_Oplus__class_Oplus(X3569,X3566,X3567)
      | X3568 = X3566 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__imp__eq])]) ).

fof(i_0_2253,plain,
    ! [X3554,X3555,X3556,X3557] :
      ( ( c_Groups_Oplus__class_Oplus(X3557,X3556,X3555) != c_Groups_Oplus__class_Oplus(X3557,X3554,X3555)
        | X3556 = X3554
        | ~ class_Groups_Ocancel__semigroup__add(X3557) )
      & ( X3556 != X3554
        | c_Groups_Oplus__class_Oplus(X3557,X3556,X3555) = c_Groups_Oplus__class_Oplus(X3557,X3554,X3555)
        | ~ class_Groups_Ocancel__semigroup__add(X3557) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__cancel])])]) ).

fof(i_0_2254,plain,
    ! [X3562,X3563,X3564,X3565] :
      ( ~ class_Groups_Ocancel__ab__semigroup__add(X3565)
      | c_Groups_Oplus__class_Oplus(X3565,X3564,X3563) != c_Groups_Oplus__class_Oplus(X3565,X3564,X3562)
      | X3563 = X3562 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__imp__eq])]) ).

fof(i_0_2255,plain,
    ! [X3558,X3559,X3560,X3561] :
      ( ~ class_Groups_Ocancel__semigroup__add(X3561)
      | c_Groups_Oplus__class_Oplus(X3561,X3560,X3559) != c_Groups_Oplus__class_Oplus(X3561,X3560,X3558)
      | X3559 = X3558 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__imp__eq])]) ).

fof(i_0_2256,plain,
    ! [X3550,X3551,X3552,X3553] :
      ( ( c_Groups_Oplus__class_Oplus(X3553,X3552,X3551) != c_Groups_Oplus__class_Oplus(X3553,X3552,X3550)
        | X3551 = X3550
        | ~ class_Groups_Ocancel__semigroup__add(X3553) )
      & ( X3551 != X3550
        | c_Groups_Oplus__class_Oplus(X3553,X3552,X3551) = c_Groups_Oplus__class_Oplus(X3553,X3552,X3550)
        | ~ class_Groups_Ocancel__semigroup__add(X3553) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__cancel])])]) ).

fof(i_0_2257,plain,
    ! [X3265,X3266,X3267] :
      ( ~ class_Orderings_Oorder(X3267)
      | ~ c_Orderings_Oord__class_Oless(X3267,X3266,X3265)
      | ~ c_Orderings_Oord__class_Oless(X3267,X3265,X3266) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1489])]) ).

fof(i_0_2258,plain,
    ! [X3292,X3293,X3294] :
      ( ~ class_Orderings_Opreorder(X3294)
      | ~ c_Orderings_Oord__class_Oless(X3294,X3293,X3292)
      | ~ c_Orderings_Oord__class_Oless(X3294,X3292,X3293) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1490])]) ).

fof(i_0_2259,plain,
    ! [X3262,X3263,X3264] :
      ( ~ class_Orderings_Opreorder(X3264)
      | ~ c_Orderings_Oord__class_Oless(X3264,X3263,X3262)
      | ~ c_Orderings_Oord__class_Oless(X3264,X3262,X3263) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1491])]) ).

fof(i_0_2260,plain,
    ! [X3253,X3254,X3255] :
      ( ~ class_Orderings_Opreorder(X3255)
      | ~ c_Orderings_Oord__class_Oless(X3255,X3254,X3253)
      | ~ c_Orderings_Oord__class_Oless(X3255,X3253,X3254) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1492])]) ).

fof(i_0_2261,plain,
    ! [X3250,X3251,X3252] :
      ( ~ class_Orderings_Opreorder(X3252)
      | ~ c_Orderings_Oord__class_Oless(X3252,X3251,X3250)
      | ~ c_Orderings_Oord__class_Oless(X3252,X3250,X3251) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1493])]) ).

fof(i_0_2262,plain,
    ! [X3321,X3322,X3323] :
      ( ( c_Orderings_Oord__class_Oless__eq(X3323,X3322,X3321)
        | c_Orderings_Oord__class_Oless(X3323,X3321,X3322)
        | ~ class_Orderings_Olinorder(X3323) )
      & ( ~ c_Orderings_Oord__class_Oless(X3323,X3321,X3322)
        | ~ c_Orderings_Oord__class_Oless__eq(X3323,X3322,X3321)
        | ~ class_Orderings_Olinorder(X3323) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1494])])]) ).

fof(i_0_2263,plain,
    ! [X3351,X3352,X3353] :
      ( ~ class_Orderings_Olinorder(X3353)
      | ~ c_Orderings_Oord__class_Oless__eq(X3353,X3352,X3351)
      | ~ c_Orderings_Oord__class_Oless(X3353,X3351,X3352) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1495])]) ).

fof(i_0_2264,plain,
    ! [X3318,X3319,X3320] :
      ( ( c_Orderings_Oord__class_Oless(X3320,X3319,X3318)
        | c_Orderings_Oord__class_Oless__eq(X3320,X3318,X3319)
        | ~ class_Orderings_Olinorder(X3320) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3320,X3318,X3319)
        | ~ c_Orderings_Oord__class_Oless(X3320,X3319,X3318)
        | ~ class_Orderings_Olinorder(X3320) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1496])])]) ).

fof(i_0_2265,plain,
    ! [X3235,X3236,X3237] :
      ( ( c_Orderings_Oord__class_Oless(X3237,X3236,X3235)
        | c_Orderings_Oord__class_Oless(X3237,X3235,X3236)
        | X3236 = X3235
        | ~ class_Orderings_Olinorder(X3237) )
      & ( ~ c_Orderings_Oord__class_Oless(X3237,X3235,X3236)
        | ~ c_Orderings_Oord__class_Oless(X3237,X3236,X3235)
        | ~ class_Orderings_Olinorder(X3237) )
      & ( X3236 != X3235
        | ~ c_Orderings_Oord__class_Oless(X3237,X3236,X3235)
        | ~ class_Orderings_Olinorder(X3237) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1497])])]) ).

cnf(i_0_2266,plain,
    ( X1 = X2
    | c_Nat_OSuc(X1) != c_Nat_OSuc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1498]) ).

cnf(i_0_2267,plain,
    ( X1 = X2
    | c_Nat_OSuc(X1) != c_Nat_OSuc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1499]) ).

fof(i_0_2268,plain,
    ! [X3089,X3090,X3091] :
      ( ( hAPP(c_Polynomial_Opoly(X3091,X3090),X3089) != c_Groups_Ozero__class_Ozero(X3091)
        | X3090 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3091))
        | c_Polynomial_Oorder(X3091,X3089,X3090) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ class_Rings_Oidom(X3091) )
      & ( X3090 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3091))
        | hAPP(c_Polynomial_Opoly(X3091,X3090),X3089) = c_Groups_Ozero__class_Ozero(X3091)
        | ~ class_Rings_Oidom(X3091) )
      & ( c_Polynomial_Oorder(X3091,X3089,X3090) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(c_Polynomial_Opoly(X3091,X3090),X3089) = c_Groups_Ozero__class_Ozero(X3091)
        | ~ class_Rings_Oidom(X3091) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__root])])]) ).

fof(i_0_2269,plain,
    ! [X3053,X3054] :
      ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3054,X3053) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3053,X3054) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | X3054 = X3053 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diffs0__imp__equal])]) ).

fof(i_0_2270,plain,
    ! [X2784] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2784))
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2784) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2784)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2784)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__0__number__of])]) ).

cnf(i_0_2271,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1465]) ).

fof(i_0_2272,plain,
    ! [X4957,X4958] :
      ( ~ class_Rings_Olinordered__ring(X4958)
      | c_Orderings_Oord__class_Oless__eq(X4958,c_Groups_Ozero__class_Ozero(X4958),c_Groups_Otimes__class_Otimes(X4958,X4957,X4957)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__square])]) ).

fof(i_0_2273,plain,
    ! [X2726,X2727,X2728] :
      ( ~ class_Rings_Odivision__ring(X2728)
      | X2727 = c_Groups_Ozero__class_Ozero(X2728)
      | c_Rings_Oinverse__class_Odivide(X2728,c_Groups_Ouminus__class_Ouminus(X2728,X2726),c_Groups_Ouminus__class_Ouminus(X2728,X2727)) = c_Rings_Oinverse__class_Odivide(X2728,X2726,X2727) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__minus__divide__divide])]) ).

fof(i_0_2274,plain,
    ! [X4959,X4960] : c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4960,X4959)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(X4960),c_NthRoot_Osqrt(X4959)),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__mult]) ).

fof(i_0_2275,plain,
    ! [X3641,X3642] : c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3642,X3641)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3642),c_NthRoot_Osqrt(X3641)),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__divide]) ).

fof(i_0_2276,plain,
    ! [X4768,X4769,X4770] :
      ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4769,X4770) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4768,X4770)
        | X4769 = X4768
        | X4770 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X4769 != X4768
        | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4769,X4770) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4768,X4770)
        | X4770 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__right__cancel])])]) ).

fof(i_0_2277,plain,
    ! [X4771,X4772,X4773] :
      ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4773,X4772) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4773,X4771)
        | X4772 = X4771
        | X4773 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X4772 != X4771
        | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4773,X4772) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4773,X4771)
        | X4773 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__left__cancel])])]) ).

fof(i_0_2278,plain,
    ! [X2877,X2878] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X2878),X2877,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2878)))
        | c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(X2878),X2877) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X2878),X2877)
        | ~ class_Rings_Olinordered__idom(X2878) )
      & ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X2878),X2877,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2878)))
        | c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(X2878),X2877) = X2877
        | ~ class_Rings_Olinordered__idom(X2878) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1500])])]) ).

fof(i_0_2279,plain,
    ! [X2916,X2917] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2917,X2916)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2916,X2917)
      | X2917 = X2916 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__antisym])]) ).

fof(i_0_2280,plain,
    ! [X3114,X3115] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3115,X3114)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3114,X3115)
      | X3115 = X3114 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__antisym])]) ).

fof(i_0_2281,plain,
    ! [X3400,X3401] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3401,X3400)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3400,X3401)
      | X3401 = X3400 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])]) ).

fof(i_0_2282,plain,
    ! [X3653,X3654,X3655] :
      ( ~ class_Groups_Ogroup__add(X3655)
      | c_Groups_Oplus__class_Oplus(X3655,c_Groups_Ominus__class_Ominus(X3655,X3654,X3653),X3653) = X3654 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])]) ).

fof(i_0_2283,plain,
    ! [X3656,X3657,X3658] :
      ( ~ class_Groups_Ogroup__add(X3658)
      | c_Groups_Ominus__class_Ominus(X3658,c_Groups_Oplus__class_Oplus(X3658,X3657,X3656),X3656) = X3657 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__cancel])]) ).

cnf(i_0_2284,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1421]) ).

cnf(i_0_2285,plain,
    ( X1 = X2
    | c_Int_OBit0(X1) != c_Int_OBit0(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1501]) ).

fof(i_0_2286,plain,
    ! [X4375,X4376,X4377] :
      ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4377,X4376) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4375,X4376)
        | X4377 = X4375 )
      & ( X4377 != X4375
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4377,X4376) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4375,X4376) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__right__cancel])]) ).

fof(i_0_2287,plain,
    ! [X4372,X4373,X4374] :
      ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4374,X4373) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4374,X4372)
        | X4373 = X4372 )
      & ( X4373 != X4372
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4374,X4373) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4374,X4372) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel])]) ).

fof(i_0_2288,plain,
    ! [X4777,X4778] :
      ( ~ class_Rings_Olinordered__idom(X4778)
      | c_Groups_Otimes__class_Otimes(X4778,c_Groups_Oabs__class_Oabs(X4778,X4777),c_Groups_Oabs__class_Oabs(X4778,X4777)) = c_Groups_Otimes__class_Otimes(X4778,X4777,X4777) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult__self])]) ).

fof(i_0_2289,plain,
    ! [X4628,X4629,X4630] :
      ( ~ class_Rings_Oring(X4630)
      | c_Groups_Otimes__class_Otimes(X4630,c_Groups_Ouminus__class_Ouminus(X4630,X4629),c_Groups_Ouminus__class_Ouminus(X4630,X4628)) = c_Groups_Otimes__class_Otimes(X4630,X4629,X4628) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__minus])]) ).

fof(i_0_2290,plain,
    ! [X2661,X2662,X2663] :
      ( ~ class_Fields_Ofield__inverse__zero(X2663)
      | c_Rings_Oinverse__class_Odivide(X2663,c_Groups_Ouminus__class_Ouminus(X2663,X2662),c_Groups_Ouminus__class_Ouminus(X2663,X2661)) = c_Rings_Oinverse__class_Odivide(X2663,X2662,X2661) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__divide])]) ).

fof(i_0_2291,plain,
    ! [X4631,X4632,X4633] :
      ( ~ class_Rings_Oring(X4633)
      | c_Groups_Otimes__class_Otimes(X4633,c_Groups_Ouminus__class_Ouminus(X4633,X4632),X4631) = c_Groups_Otimes__class_Otimes(X4633,X4632,c_Groups_Ouminus__class_Ouminus(X4633,X4631)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__commute])]) ).

cnf(i_0_2292,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_1502]) ).

fof(i_0_2293,plain,
    ! [X3542,X3543] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3543,X3542)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3543),X3542),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__power]) ).

cnf(i_0_2294,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_1445]) ).

cnf(i_0_2295,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X1)),
    inference(split_conjunct,[status(thm)],[i_0_1503]) ).

fof(i_0_2296,plain,
    ! [X4196,X4197,X4199,X4200,X4201] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4197,X4196)
        | X4196 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4197,esk38_2(X4196,X4197)) )
      & ( X4199 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4200,X4201)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4200,X4199) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__iff__add])])])])]) ).

fof(i_0_2297,plain,
    ! [X4093,X4094,X4096,X4097,X4098] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4094,X4093)
        | X4093 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4094,esk37_2(X4093,X4094)) )
      & ( X4096 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4097,X4098)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4097,X4096) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__Suc__ex__iff])])])])]) ).

cnf(i_0_2298,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X1)),
    inference(split_conjunct,[status(thm)],[i_0_1504]) ).

fof(i_0_2299,plain,
    ! [X4264,X4265] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4265,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4265,X4264)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_diff__add__0]) ).

fof(i_0_2300,plain,
    ! [X4702,X4703,X4704,X4705] :
      ( ( X4703 = c_Groups_Ozero__class_Ozero(X4705)
        | X4704 = c_Groups_Otimes__class_Otimes(X4705,X4702,X4703)
        | c_Rings_Oinverse__class_Odivide(X4705,X4704,X4703) != X4702
        | ~ class_Fields_Ofield__inverse__zero(X4705) )
      & ( X4703 != c_Groups_Ozero__class_Ozero(X4705)
        | X4702 = c_Groups_Ozero__class_Ozero(X4705)
        | c_Rings_Oinverse__class_Odivide(X4705,X4704,X4703) != X4702
        | ~ class_Fields_Ofield__inverse__zero(X4705) )
      & ( X4703 = c_Groups_Ozero__class_Ozero(X4705)
        | X4703 != c_Groups_Ozero__class_Ozero(X4705)
        | c_Rings_Oinverse__class_Odivide(X4705,X4704,X4703) = X4702
        | ~ class_Fields_Ofield__inverse__zero(X4705) )
      & ( X4702 != c_Groups_Ozero__class_Ozero(X4705)
        | X4703 != c_Groups_Ozero__class_Ozero(X4705)
        | c_Rings_Oinverse__class_Odivide(X4705,X4704,X4703) = X4702
        | ~ class_Fields_Ofield__inverse__zero(X4705) )
      & ( X4703 = c_Groups_Ozero__class_Ozero(X4705)
        | X4704 != c_Groups_Otimes__class_Otimes(X4705,X4702,X4703)
        | c_Rings_Oinverse__class_Odivide(X4705,X4704,X4703) = X4702
        | ~ class_Fields_Ofield__inverse__zero(X4705) )
      & ( X4702 != c_Groups_Ozero__class_Ozero(X4705)
        | X4704 != c_Groups_Otimes__class_Otimes(X4705,X4702,X4703)
        | c_Rings_Oinverse__class_Odivide(X4705,X4704,X4703) = X4702
        | ~ class_Fields_Ofield__inverse__zero(X4705) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__eq__eq])])]) ).

fof(i_0_2301,plain,
    ! [X4698,X4699,X4700,X4701] :
      ( ( X4698 = c_Groups_Ozero__class_Ozero(X4701)
        | c_Groups_Otimes__class_Otimes(X4701,X4700,X4698) = X4699
        | X4700 != c_Rings_Oinverse__class_Odivide(X4701,X4699,X4698)
        | ~ class_Fields_Ofield__inverse__zero(X4701) )
      & ( X4698 != c_Groups_Ozero__class_Ozero(X4701)
        | X4700 = c_Groups_Ozero__class_Ozero(X4701)
        | X4700 != c_Rings_Oinverse__class_Odivide(X4701,X4699,X4698)
        | ~ class_Fields_Ofield__inverse__zero(X4701) )
      & ( X4698 = c_Groups_Ozero__class_Ozero(X4701)
        | X4698 != c_Groups_Ozero__class_Ozero(X4701)
        | X4700 = c_Rings_Oinverse__class_Odivide(X4701,X4699,X4698)
        | ~ class_Fields_Ofield__inverse__zero(X4701) )
      & ( X4700 != c_Groups_Ozero__class_Ozero(X4701)
        | X4698 != c_Groups_Ozero__class_Ozero(X4701)
        | X4700 = c_Rings_Oinverse__class_Odivide(X4701,X4699,X4698)
        | ~ class_Fields_Ofield__inverse__zero(X4701) )
      & ( X4698 = c_Groups_Ozero__class_Ozero(X4701)
        | c_Groups_Otimes__class_Otimes(X4701,X4700,X4698) != X4699
        | X4700 = c_Rings_Oinverse__class_Odivide(X4701,X4699,X4698)
        | ~ class_Fields_Ofield__inverse__zero(X4701) )
      & ( X4700 != c_Groups_Ozero__class_Ozero(X4701)
        | c_Groups_Otimes__class_Otimes(X4701,X4700,X4698) != X4699
        | X4700 = c_Rings_Oinverse__class_Odivide(X4701,X4699,X4698)
        | ~ class_Fields_Ofield__inverse__zero(X4701) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__divide__eq])])]) ).

fof(i_0_2302,plain,
    ! [X4217,X4218] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4218,X4217),X4218) = X4217,
    inference(variable_rename,[status(thm)],[fact_diff__add__inverse]) ).

fof(i_0_2303,plain,
    ! [X4219,X4220] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4220,X4219),X4219) = X4220,
    inference(variable_rename,[status(thm)],[fact_diff__add__inverse2]) ).

fof(i_0_2304,plain,
    ! [X2903,X2904] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2904,X2903),X2904),
    inference(variable_rename,[status(thm)],[fact_diff__le__self]) ).

fof(i_0_2305,plain,
    ! [X4202,X4203] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4203,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4203,X4202)),
    inference(variable_rename,[status(thm)],[fact_le__add1]) ).

fof(i_0_2306,plain,
    ! [X4204,X4205] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4205,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4204,X4205)),
    inference(variable_rename,[status(thm)],[fact_le__add2]) ).

fof(i_0_2307,plain,
    ! [X3499,X3500] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3500),c_NthRoot_Osqrt(X3499))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3500,X3499) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3500,X3499)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3500),c_NthRoot_Osqrt(X3499)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__le__iff])]) ).

fof(i_0_2308,plain,
    ! [X3643,X3644] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3644),c_NthRoot_Osqrt(X3643))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3644,X3643) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3644,X3643)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3644),c_NthRoot_Osqrt(X3643)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__less__iff])]) ).

fof(i_0_2309,plain,
    ! [X4690,X4691,X4692,X4693] :
      ( ~ class_Rings_Odivision__ring(X4693)
      | X4692 = c_Groups_Ozero__class_Ozero(X4693)
      | X4691 != c_Groups_Otimes__class_Otimes(X4693,X4690,X4692)
      | c_Rings_Oinverse__class_Odivide(X4693,X4691,X4692) = X4690 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__eq__imp])]) ).

fof(i_0_2310,plain,
    ! [X4682,X4683,X4684,X4685] :
      ( ( X4683 != c_Rings_Oinverse__class_Odivide(X4685,X4682,X4684)
        | c_Groups_Otimes__class_Otimes(X4685,X4683,X4684) = X4682
        | X4684 = c_Groups_Ozero__class_Ozero(X4685)
        | ~ class_Rings_Odivision__ring(X4685) )
      & ( c_Groups_Otimes__class_Otimes(X4685,X4683,X4684) != X4682
        | X4683 = c_Rings_Oinverse__class_Odivide(X4685,X4682,X4684)
        | X4684 = c_Groups_Ozero__class_Ozero(X4685)
        | ~ class_Rings_Odivision__ring(X4685) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__eq__divide__eq])])]) ).

fof(i_0_2311,plain,
    ! [X4686,X4687,X4688,X4689] :
      ( ( c_Rings_Oinverse__class_Odivide(X4689,X4687,X4688) != X4686
        | X4687 = c_Groups_Otimes__class_Otimes(X4689,X4686,X4688)
        | X4688 = c_Groups_Ozero__class_Ozero(X4689)
        | ~ class_Rings_Odivision__ring(X4689) )
      & ( X4687 != c_Groups_Otimes__class_Otimes(X4689,X4686,X4688)
        | c_Rings_Oinverse__class_Odivide(X4689,X4687,X4688) = X4686
        | X4688 = c_Groups_Ozero__class_Ozero(X4689)
        | ~ class_Rings_Odivision__ring(X4689) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__divide__eq__eq])])]) ).

fof(i_0_2312,plain,
    ! [X4694,X4695,X4696,X4697] :
      ( ~ class_Rings_Odivision__ring(X4697)
      | X4696 = c_Groups_Ozero__class_Ozero(X4697)
      | c_Groups_Otimes__class_Otimes(X4697,X4695,X4696) != X4694
      | X4695 = c_Rings_Oinverse__class_Odivide(X4697,X4694,X4696) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__divide__imp])]) ).

fof(i_0_2313,plain,
    ! [X3803] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3803))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X3803) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X3803)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3803)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__ge__1__iff])]) ).

fof(i_0_2314,plain,
    ! [X3793] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3793))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3793) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3793)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3793)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__ge__0__iff])]) ).

fof(i_0_2315,plain,
    ! [X3805] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3805))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X3805) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X3805)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3805)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__gt__1__iff])]) ).

fof(i_0_2316,plain,
    ! [X3797] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3797))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3797) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3797)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3797)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__gt__0__iff])]) ).

fof(i_0_2317,plain,
    ! [X3802] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3802),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3802,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3802,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3802),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__le__1__iff])]) ).

fof(i_0_2318,plain,
    ! [X3794] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3794),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3794,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3794,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3794),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__le__0__iff])]) ).

fof(i_0_2319,plain,
    ! [X3804] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3804),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3804,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3804,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3804),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__lt__1__iff])]) ).

fof(i_0_2320,plain,
    ! [X3798] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3798),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3798,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3798,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3798),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__lt__0__iff])]) ).

fof(i_0_2321,plain,
    ! [X2734,X2735] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2735,c_Groups_Ozero__class_Ozero(X2735),c_Groups_Oabs__class_Oabs(X2735,X2734))
        | X2734 != c_Groups_Ozero__class_Ozero(X2735)
        | ~ class_Groups_Oordered__ab__group__add__abs(X2735) )
      & ( X2734 = c_Groups_Ozero__class_Ozero(X2735)
        | c_Orderings_Oord__class_Oless(X2735,c_Groups_Ozero__class_Ozero(X2735),c_Groups_Oabs__class_Oabs(X2735,X2734))
        | ~ class_Groups_Oordered__ab__group__add__abs(X2735) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__abs__iff])])]) ).

cnf(i_0_2322,plain,
    ( X1 = c_Nat_OSuc(esk31_1(X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1505]) ).

fof(i_0_2323,plain,
    ! [X3801] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X3801)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3801)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__ge__one])]) ).

fof(i_0_2324,plain,
    ! [X3795] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3795)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3795)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__ge__zero])]) ).

fof(i_0_2325,plain,
    ! [X3800] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3800)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X3800)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__gt__zero])]) ).

fof(i_0_2326,plain,
    ! [X3461,X3462] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3462,X3461)
      | c_Nat__Transfer_Otsub(X3461,X3462) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3461,X3462) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_tsub__eq])]) ).

fof(i_0_2327,plain,
    ! [X3434,X3435] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3435,X3434)
        | c_Nat__Transfer_Otsub(X3434,X3435) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3434,X3435) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3435,X3434)
        | c_Nat__Transfer_Otsub(X3434,X3435) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1506])]) ).

fof(i_0_2328,plain,
    ! [X3366,X3367,X3368] :
      ( ~ class_Orderings_Oorder(X3368)
      | ~ c_Orderings_Oord__class_Oless__eq(X3368,X3367,X3366)
      | X3366 = X3367
      | c_Orderings_Oord__class_Oless(X3368,X3367,X3366) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I11_J])]) ).

fof(i_0_2329,plain,
    ! [X3363,X3364,X3365] :
      ( ~ class_Orderings_Oorder(X3365)
      | ~ c_Orderings_Oord__class_Oless__eq(X3365,X3364,X3363)
      | X3364 = X3363
      | c_Orderings_Oord__class_Oless(X3365,X3364,X3363) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__neq__trans])]) ).

fof(i_0_2330,plain,
    ! [X3360,X3361,X3362] :
      ( ~ class_Orderings_Oorder(X3362)
      | ~ c_Orderings_Oord__class_Oless__eq(X3362,X3361,X3360)
      | c_Orderings_Oord__class_Oless(X3362,X3361,X3360)
      | X3361 = X3360 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__imp__less__or__eq])]) ).

fof(i_0_2331,plain,
    ! [X3345,X3346,X3347] :
      ( ~ class_Orderings_Oorder(X3347)
      | X3346 = X3345
      | ~ c_Orderings_Oord__class_Oless__eq(X3347,X3346,X3345)
      | c_Orderings_Oord__class_Oless(X3347,X3346,X3345) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__neq__le__trans])]) ).

fof(i_0_2332,plain,
    ! [X3333,X3334,X3335] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3335,X3334,X3333)
        | c_Orderings_Oord__class_Oless(X3335,X3334,X3333)
        | X3334 = X3333
        | ~ class_Orderings_Oorder(X3335) )
      & ( ~ c_Orderings_Oord__class_Oless(X3335,X3334,X3333)
        | c_Orderings_Oord__class_Oless__eq(X3335,X3334,X3333)
        | ~ class_Orderings_Oorder(X3335) )
      & ( X3334 != X3333
        | c_Orderings_Oord__class_Oless__eq(X3335,X3334,X3333)
        | ~ class_Orderings_Oorder(X3335) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__less])])]) ).

fof(i_0_2333,plain,
    ! [X3327,X3328,X3329] :
      ( ( c_Orderings_Oord__class_Oless__eq(X3329,X3328,X3327)
        | ~ c_Orderings_Oord__class_Oless(X3329,X3328,X3327)
        | ~ class_Orderings_Oorder(X3329) )
      & ( X3328 != X3327
        | ~ c_Orderings_Oord__class_Oless(X3329,X3328,X3327)
        | ~ class_Orderings_Oorder(X3329) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X3329,X3328,X3327)
        | X3328 = X3327
        | c_Orderings_Oord__class_Oless(X3329,X3328,X3327)
        | ~ class_Orderings_Oorder(X3329) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__le])])]) ).

fof(i_0_2334,plain,
    ! [X3342,X3343,X3344] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X3344,X3343,X3342)
        | X3343 = X3342
        | c_Orderings_Oord__class_Oless(X3344,X3343,X3342)
        | ~ class_Orderings_Olinorder(X3344) )
      & ( X3343 != X3342
        | c_Orderings_Oord__class_Oless__eq(X3344,X3343,X3342)
        | c_Orderings_Oord__class_Oless(X3344,X3343,X3342)
        | ~ class_Orderings_Olinorder(X3344) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1507])])]) ).

fof(i_0_2335,plain,
    ! [X3348,X3349,X3350] :
      ( ~ class_Orderings_Oorder(X3350)
      | X3349 = X3348
      | ~ c_Orderings_Oord__class_Oless__eq(X3350,X3348,X3349)
      | c_Orderings_Oord__class_Oless(X3350,X3348,X3349) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I12_J])]) ).

fof(i_0_2336,plain,
    ! [X3497,X3498] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3498,X3497)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3498),c_NthRoot_Osqrt(X3497)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__le__mono])]) ).

fof(i_0_2337,plain,
    ! [X3645,X3646] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3646,X3645)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3646),c_NthRoot_Osqrt(X3645)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__less__mono])]) ).

fof(i_0_2338,plain,
    ! [X2998,X2999] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X2999,c_Groups_Oabs__class_Oabs(X2999,X2998),c_Groups_Ozero__class_Ozero(X2999))
        | X2998 = c_Groups_Ozero__class_Ozero(X2999)
        | ~ class_Groups_Oordered__ab__group__add__abs(X2999) )
      & ( X2998 != c_Groups_Ozero__class_Ozero(X2999)
        | c_Orderings_Oord__class_Oless__eq(X2999,c_Groups_Oabs__class_Oabs(X2999,X2998),c_Groups_Ozero__class_Ozero(X2999))
        | ~ class_Groups_Oordered__ab__group__add__abs(X2999) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__zero__iff])])]) ).

fof(i_0_2339,plain,
    ! [X3354,X3355,X3356] :
      ( ~ class_Orderings_Opreorder(X3356)
      | ~ c_Orderings_Oord__class_Oless(X3356,X3355,X3354)
      | c_Orderings_Oord__class_Oless__eq(X3356,X3355,X3354) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__le])]) ).

cnf(i_0_2340,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | X1 != c_Nat_OSuc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1505]) ).

fof(i_0_2341,plain,
    ! [X3051,X3052] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3052)
      | c_Orderings_Oord__class_Oless__eq(X3052,c_Groups_Ouminus__class_Ouminus(X3052,c_Groups_Oabs__class_Oabs(X3052,X3051)),c_Groups_Ozero__class_Ozero(X3052)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__minus__le__zero])]) ).

fof(i_0_2342,plain,
    ! [X4034] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4034)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4034) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4034)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4034) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_int__one__le__iff__zero__less])]) ).

fof(i_0_2343,plain,
    ! [X2598,X2599] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2599,X2598))
        | X2598 != c_Groups_Ozero__class_Ozero(X2599)
        | ~ class_RealVector_Oreal__normed__vector(X2599) )
      & ( X2598 = c_Groups_Ozero__class_Ozero(X2599)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2599,X2598))
        | ~ class_RealVector_Oreal__normed__vector(X2599) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__norm__iff])])]) ).

fof(i_0_2344,plain,
    ! [X3425] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3425)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3425)),
    inference(variable_rename,[status(thm)],[fact_complex__mod__minus__le__complex__mod]) ).

fof(i_0_2345,plain,
    ! [X2736,X2737] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2737)
      | ~ c_Orderings_Oord__class_Oless(X2737,c_Groups_Oabs__class_Oabs(X2737,X2736),c_Groups_Ozero__class_Ozero(X2737)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1508])]) ).

fof(i_0_2346,plain,
    ! [X3883,X3884,X3885] :
      ( ~ class_Groups_Ogroup__add(X3885)
      | c_Groups_Ominus__class_Ominus(X3885,X3884,c_Groups_Ouminus__class_Ouminus(X3885,X3883)) = c_Groups_Oplus__class_Oplus(X3885,X3884,X3883) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__minus__eq__add])]) ).

fof(i_0_2347,plain,
    ! [X4552,X4553,X4554] :
      ( ~ class_Rings_Ocomm__ring__1(X4554)
      | c_Groups_Ominus__class_Ominus(X4554,X4553,X4552) = c_Groups_Oplus__class_Oplus(X4554,X4553,c_Groups_Ouminus__class_Ouminus(X4554,X4552)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J])]) ).

fof(i_0_2348,plain,
    ! [X3880,X3881,X3882] :
      ( ~ class_Groups_Oab__group__add(X3882)
      | c_Groups_Ominus__class_Ominus(X3882,X3881,X3880) = c_Groups_Oplus__class_Oplus(X3882,X3881,c_Groups_Ouminus__class_Ouminus(X3882,X3880)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__diff__minus])]) ).

fof(i_0_2349,plain,
    ! [X3877,X3878,X3879] :
      ( ~ class_Groups_Ogroup__add(X3879)
      | c_Groups_Ominus__class_Ominus(X3879,X3878,X3877) = c_Groups_Oplus__class_Oplus(X3879,X3878,c_Groups_Ouminus__class_Ouminus(X3879,X3877)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__def])]) ).

fof(i_0_2350,plain,
    ! [X3153,X3154] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3154,X3153),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | X3153 = c_Groups_Ozero__class_Ozero(X3154)
        | ~ class_RealVector_Oreal__normed__vector(X3154) )
      & ( X3153 != c_Groups_Ozero__class_Ozero(X3154)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3154,X3153),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | ~ class_RealVector_Oreal__normed__vector(X3154) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__le__zero__iff])])]) ).

fof(i_0_2351,plain,
    ! [X2920,X2921] :
      ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2921,X2920) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2921,X2920) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2921,X2920)
        | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2921,X2920) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__is__0__eq])]) ).

fof(i_0_2352,plain,
    ! [X2938,X2939] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2939,X2938)
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2939,X2938) )
      & ( X2939 != X2938
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2939,X2938) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2939,X2938)
        | X2939 = X2938
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2939,X2938) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__le])])]) ).

fof(i_0_2353,plain,
    ! [X2936,X2937] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2937,X2936)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2937,X2936)
        | X2937 = X2936 )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2937,X2936)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2937,X2936) )
      & ( X2937 != X2936
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2937,X2936) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__eq__less__or__eq])])]) ).

fof(i_0_2354,plain,
    ! [X2932,X2933] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2933,X2932)
      | X2933 = X2932
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2933,X2932) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__neq__implies__less])]) ).

fof(i_0_2355,plain,
    ! [X3134,X3135] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3135,X3134)
        | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3135,X3134) )
      & ( X3135 != X3134
        | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3135,X3134) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3135,X3134)
        | X3135 = X3134
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X3135,X3134) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__le])])]) ).

fof(i_0_2356,plain,
    ! [X3132,X3133] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3133,X3132)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3133,X3132)
        | X3133 = X3132 )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3133,X3132)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3133,X3132) )
      & ( X3133 != X3132
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3133,X3132) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__real__def])])]) ).

fof(i_0_2357,plain,
    ! [X3130,X3131] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3131,X3130)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3131,X3130) )
      & ( X3131 != X3130
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3131,X3130) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3131,X3130)
        | X3131 = X3130
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3131,X3130) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__less__def])])]) ).

fof(i_0_2358,plain,
    ! [X2918,X2919] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2919,X2918)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2919,X2918) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__is__0__eq_H])]) ).

fof(i_0_2359,plain,
    ! [X3308,X3309,X3310,X3311] :
      ( ~ class_Groups_Ouminus(X3311)
      | hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3310,X3311),X3309),X3308) = c_Groups_Ouminus__class_Ouminus(X3311,hAPP(X3309,X3308)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_uminus__apply])]) ).

fof(i_0_2360,plain,
    ! [X3094,X3095] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3095,X3094)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3095,X3094) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I5_J])]) ).

fof(i_0_2361,plain,
    ! [X2934,X2935] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2935,X2934)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2935,X2934) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__le__nat])]) ).

fof(i_0_2362,plain,
    ! [X2924,X2925] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2925,X2924)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2925,X2924) )
      & ( X2925 != X2924
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2925,X2924) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__or__eq__imp__le])])]) ).

fof(i_0_2363,plain,
    ! [X2710,X2711] :
      ( ~ class_RealVector_Oreal__normed__vector(X2711)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2711,X2710),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1509])]) ).

fof(i_0_2364,plain,
    ! [X2721,X2722] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2722,X2721,c_Groups_Ozero__class_Ozero(X2722))
        | c_Groups_Oabs__class_Oabs(X2722,X2721) = c_Groups_Ouminus__class_Ouminus(X2722,X2721)
        | ~ class_Groups_Oabs__if(X2722) )
      & ( c_Orderings_Oord__class_Oless(X2722,X2721,c_Groups_Ozero__class_Ozero(X2722))
        | c_Groups_Oabs__class_Oabs(X2722,X2721) = X2721
        | ~ class_Groups_Oabs__if(X2722) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1510])])]) ).

fof(i_0_2365,plain,
    ! [X3049,X3050] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3050)
      | ~ c_Orderings_Oord__class_Oless__eq(X3050,X3049,c_Groups_Ozero__class_Ozero(X3050))
      | c_Groups_Oabs__class_Oabs(X3050,X3049) = c_Groups_Ouminus__class_Ouminus(X3050,X3049) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__nonpos])]) ).

fof(i_0_2366,plain,
    ! [X2719,X2720] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2720)
      | ~ c_Orderings_Oord__class_Oless(X2720,X2719,c_Groups_Ozero__class_Ozero(X2720))
      | c_Groups_Oabs__class_Oabs(X2720,X2719) = c_Groups_Ouminus__class_Ouminus(X2720,X2719) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__neg])]) ).

cnf(i_0_2367,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_real__of__nat__one]) ).

fof(i_0_2368,plain,
    ! [X4305,X4306] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4306,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4305)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4306,X4305),
    inference(variable_rename,[status(thm)],[fact_diff__int__def__symmetric]) ).

fof(i_0_2369,plain,
    ! [X4307,X4308] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4308,X4307) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4308,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4307)),
    inference(variable_rename,[status(thm)],[fact_diff__int__def]) ).

fof(i_0_2370,plain,
    ! [X4227,X4228] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X4228,X4227) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X4228,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X4227)),
    inference(variable_rename,[status(thm)],[fact_complex__diff__def]) ).

fof(i_0_2371,plain,
    ! [X3930,X3931] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3931,X3930) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3931,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3930)),
    inference(variable_rename,[status(thm)],[fact_minus__real__def]) ).

fof(i_0_2372,plain,
    ! [X3928,X3929] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3929,X3928) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3929,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3928)),
    inference(variable_rename,[status(thm)],[fact_real__diff__def]) ).

fof(i_0_2373,plain,
    ! [X3968] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3968),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | X3968 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3968 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3968),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__le__zero__cancel__iff])]) ).

fof(i_0_2374,plain,
    ! [X4037] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4037),c_Groups_Oone__class_Oone(tc_Int_Oint))
        | X4037 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
      & ( X4037 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4037),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zabs__less__one__iff])]) ).

fof(i_0_2375,plain,
    ! [X2576,X2577] :
      ( hAPP(X2577,esk1_2(X2576,X2577)) != hAPP(X2576,esk1_2(X2576,X2577))
      | X2577 = X2576 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])]) ).

fof(i_0_2376,plain,
    ! [X4405,X4406,X4407] :
      ( ( X4406 = c_Groups_Ozero__class_Ozero(X4407)
        | c_Power_Opower__class_Opower(X4407,X4406,X4405) != c_Groups_Ozero__class_Ozero(X4407)
        | ~ class_Power_Opower(X4407)
        | ~ class_Rings_Omult__zero(X4407)
        | ~ class_Rings_Ono__zero__divisors(X4407)
        | ~ class_Rings_Ozero__neq__one(X4407) )
      & ( X4405 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Power_Opower__class_Opower(X4407,X4406,X4405) != c_Groups_Ozero__class_Ozero(X4407)
        | ~ class_Power_Opower(X4407)
        | ~ class_Rings_Omult__zero(X4407)
        | ~ class_Rings_Ono__zero__divisors(X4407)
        | ~ class_Rings_Ozero__neq__one(X4407) )
      & ( X4406 != c_Groups_Ozero__class_Ozero(X4407)
        | X4405 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Power_Opower__class_Opower(X4407,X4406,X4405) = c_Groups_Ozero__class_Ozero(X4407)
        | ~ class_Power_Opower(X4407)
        | ~ class_Rings_Omult__zero(X4407)
        | ~ class_Rings_Ono__zero__divisors(X4407)
        | ~ class_Rings_Ozero__neq__one(X4407) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__0__iff])])]) ).

fof(i_0_2377,plain,
    ! [X4719,X4720] :
      ( ( c_Groups_Otimes__class_Otimes(X4720,X4719,X4719) != c_Groups_Oone__class_Oone(X4720)
        | X4719 = c_Groups_Oone__class_Oone(X4720)
        | X4719 = c_Groups_Ouminus__class_Ouminus(X4720,c_Groups_Oone__class_Oone(X4720))
        | ~ class_Rings_Oring__1__no__zero__divisors(X4720) )
      & ( X4719 != c_Groups_Oone__class_Oone(X4720)
        | c_Groups_Otimes__class_Otimes(X4720,X4719,X4719) = c_Groups_Oone__class_Oone(X4720)
        | ~ class_Rings_Oring__1__no__zero__divisors(X4720) )
      & ( X4719 != c_Groups_Ouminus__class_Ouminus(X4720,c_Groups_Oone__class_Oone(X4720))
        | c_Groups_Otimes__class_Otimes(X4720,X4719,X4719) = c_Groups_Oone__class_Oone(X4720)
        | ~ class_Rings_Oring__1__no__zero__divisors(X4720) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_square__eq__1__iff])])]) ).

fof(i_0_2378,plain,
    ! [X4510,X4511] :
      ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4510) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Power_Opower__class_Opower(X4511,c_Groups_Ozero__class_Ozero(X4511),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4510)) = c_Groups_Oone__class_Oone(X4511)
        | ~ class_Power_Opower(X4511)
        | ~ class_Rings_Osemiring__0(X4511) )
      & ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4510) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Power_Opower__class_Opower(X4511,c_Groups_Ozero__class_Ozero(X4511),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X4510)) = c_Groups_Ozero__class_Ozero(X4511)
        | ~ class_Power_Opower(X4511)
        | ~ class_Rings_Osemiring__0(X4511) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0__left__number__of])])]) ).

fof(i_0_2379,plain,
    ! [X3926,X3927] :
      ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3927,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3926)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X3927 = X3926 )
      & ( X3927 != X3926
        | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3927,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3926)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__minus__iff])]) ).

fof(i_0_2380,plain,
    ! [X3807] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3807),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(variable_rename,[status(thm)],[i_0_1511]) ).

fof(i_0_2381,plain,
    ! [X4742] : c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4742,X4742)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X4742),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__abs2]) ).

fof(i_0_2382,plain,
    ! [X3232,X3233,X3234] :
      ( ( X3233 = X3232
        | c_Orderings_Oord__class_Oless(X3234,X3233,X3232)
        | c_Orderings_Oord__class_Oless(X3234,X3232,X3233)
        | ~ class_Orderings_Olinorder(X3234) )
      & ( ~ c_Orderings_Oord__class_Oless(X3234,X3233,X3232)
        | X3233 != X3232
        | ~ class_Orderings_Olinorder(X3234) )
      & ( ~ c_Orderings_Oord__class_Oless(X3234,X3232,X3233)
        | X3233 != X3232
        | ~ class_Orderings_Olinorder(X3234) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__neq__iff])])]) ).

fof(i_0_2383,plain,
    ! [X3295,X3296,X3297] :
      ( ~ class_Orderings_Olinorder(X3297)
      | c_Orderings_Oord__class_Oless(X3297,X3296,X3295)
      | X3296 = X3295
      | c_Orderings_Oord__class_Oless(X3297,X3295,X3296) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1512])]) ).

fof(i_0_2384,plain,
    ! [X3244,X3245,X3246] :
      ( ~ class_Orderings_Olinorder(X3246)
      | X3245 = X3244
      | c_Orderings_Oord__class_Oless(X3246,X3245,X3244)
      | c_Orderings_Oord__class_Oless(X3246,X3244,X3245) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1513])]) ).

fof(i_0_2385,plain,
    ! [X3241,X3242,X3243] :
      ( ( c_Orderings_Oord__class_Oless(X3243,X3241,X3242)
        | X3241 = X3242
        | c_Orderings_Oord__class_Oless(X3243,X3242,X3241)
        | ~ class_Orderings_Olinorder(X3243) )
      & ( X3241 != X3242
        | ~ c_Orderings_Oord__class_Oless(X3243,X3241,X3242)
        | c_Orderings_Oord__class_Oless(X3243,X3242,X3241)
        | ~ class_Orderings_Olinorder(X3243) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1514])])]) ).

fof(i_0_2386,plain,
    ! [X3238,X3239,X3240] :
      ( ~ class_Orderings_Olinorder(X3240)
      | c_Orderings_Oord__class_Oless(X3240,X3239,X3238)
      | X3239 = X3238
      | c_Orderings_Oord__class_Oless(X3240,X3238,X3239) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__less__linear])]) ).

fof(i_0_2387,plain,
    ! [X2763,X2764,X2765] :
      ( ~ class_Rings_Olinordered__idom(X2765)
      | X2764 = X2763
      | c_Orderings_Oord__class_Oless(X2765,X2764,X2763)
      | c_Orderings_Oord__class_Oless(X2765,X2763,X2764) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1515])]) ).

fof(i_0_2388,plain,
    ! [X2996,X2997] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2997)
      | ~ c_Orderings_Oord__class_Oless__eq(X2997,c_Groups_Ozero__class_Ozero(X2997),X2996)
      | c_Groups_Oabs__class_Oabs(X2997,X2996) = X2996 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__nonneg])]) ).

fof(i_0_2389,plain,
    ! [X2732,X2733] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2733)
      | ~ c_Orderings_Oord__class_Oless(X2733,c_Groups_Ozero__class_Ozero(X2733),X2732)
      | c_Groups_Oabs__class_Oabs(X2733,X2732) = X2732 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__pos])]) ).

cnf(i_0_2390,plain,
    ( c_Power_Opower__class_Opower(tc_Nat_Onat,X2,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1480]) ).

fof(i_0_2391,plain,
    ! [X3219,X3220,X3221] :
      ( ~ class_Orderings_Olinorder(X3221)
      | c_Orderings_Oord__class_Oless__eq(X3221,X3220,X3219)
      | c_Orderings_Oord__class_Oless__eq(X3221,X3219,X3220) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__linear])]) ).

fof(i_0_2392,plain,
    ! [X3167,X3168,X3169] :
      ( ~ class_Orderings_Olinorder(X3169)
      | c_Orderings_Oord__class_Oless__eq(X3169,X3168,X3167)
      | c_Orderings_Oord__class_Oless__eq(X3169,X3167,X3168) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1516])]) ).

fof(i_0_2393,plain,
    ! [X3336,X3337,X3338] :
      ( ~ class_Orderings_Olinorder(X3338)
      | c_Orderings_Oord__class_Oless(X3338,X3337,X3336)
      | c_Orderings_Oord__class_Oless__eq(X3338,X3336,X3337) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1517])]) ).

fof(i_0_2394,plain,
    ! [X3339,X3340,X3341] :
      ( ~ class_Orderings_Olinorder(X3341)
      | c_Orderings_Oord__class_Oless__eq(X3341,X3340,X3339)
      | c_Orderings_Oord__class_Oless(X3341,X3339,X3340) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1518])]) ).

fof(i_0_2395,plain,
    ! [X3324,X3325,X3326] :
      ( ~ class_Orderings_Olinorder(X3326)
      | c_Orderings_Oord__class_Oless__eq(X3326,X3325,X3324)
      | c_Orderings_Oord__class_Oless(X3326,X3324,X3325) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__le__less__linear])]) ).

fof(i_0_2396,plain,
    ! [X5027,X5028,X5029] :
      ( ~ class_Rings_Ocomm__semiring__1(X5029)
      | c_Groups_Otimes__class_Otimes(X5029,X5028,X5027) = c_Groups_Otimes__class_Otimes(X5029,X5027,X5028) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])]) ).

fof(i_0_2397,plain,
    ! [X4519,X4520,X4521] :
      ( ~ class_Rings_Ocomm__semiring__1(X4521)
      | c_Groups_Oplus__class_Oplus(X4521,X4520,X4519) = c_Groups_Oplus__class_Oplus(X4521,X4519,X4520) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])]) ).

fof(i_0_2398,plain,
    ! [X3871,X3872,X3873] :
      ( ~ class_Groups_Ogroup__add(X3873)
      | c_Groups_Oplus__class_Oplus(X3873,X3872,X3871) != c_Groups_Ozero__class_Ozero(X3873)
      | c_Groups_Ouminus__class_Ouminus(X3873,X3872) = X3871 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__unique])]) ).

fof(i_0_2399,plain,
    ! [X3864,X3865,X3866] :
      ( ( X3865 != c_Groups_Ouminus__class_Ouminus(X3866,X3864)
        | c_Groups_Oplus__class_Oplus(X3866,X3865,X3864) = c_Groups_Ozero__class_Ozero(X3866)
        | ~ class_Groups_Ogroup__add(X3866) )
      & ( c_Groups_Oplus__class_Oplus(X3866,X3865,X3864) != c_Groups_Ozero__class_Ozero(X3866)
        | X3865 = c_Groups_Ouminus__class_Ouminus(X3866,X3864)
        | ~ class_Groups_Ogroup__add(X3866) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__neg__iff__add__eq__0])])]) ).

fof(i_0_2400,plain,
    ! [X3874,X3875,X3876] :
      ( ( c_Groups_Oplus__class_Oplus(X3876,X3875,X3874) != c_Groups_Ozero__class_Ozero(X3876)
        | X3874 = c_Groups_Ouminus__class_Ouminus(X3876,X3875)
        | ~ class_Groups_Ogroup__add(X3876) )
      & ( X3874 != c_Groups_Ouminus__class_Ouminus(X3876,X3875)
        | c_Groups_Oplus__class_Oplus(X3876,X3875,X3874) = c_Groups_Ozero__class_Ozero(X3876)
        | ~ class_Groups_Ogroup__add(X3876) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__0__iff])])]) ).

fof(i_0_2401,plain,
    ! [X5036,X5037] :
      ( ~ class_Rings_Ocomm__ring__1(X5037)
      | c_Groups_Ouminus__class_Ouminus(X5037,X5036) = c_Groups_Otimes__class_Otimes(X5037,c_Groups_Ouminus__class_Ouminus(X5037,c_Groups_Oone__class_Oone(X5037)),X5036) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J])]) ).

fof(i_0_2402,plain,
    ! [X3020,X3021] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3021)
      | c_Orderings_Oord__class_Oless__eq(X3021,c_Groups_Ouminus__class_Ouminus(X3021,X3020),c_Groups_Oabs__class_Oabs(X3021,X3020)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__ge__minus__self])]) ).

fof(i_0_2403,plain,
    ! [X2744] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2744,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
        | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2744) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2744) )
      & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X2744,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
        | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2744) = X2744 ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1519])]) ).

fof(i_0_2404,plain,
    ! [X2588] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2588,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2588) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2588) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2588,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2588) = X2588 ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1520])]) ).

fof(i_0_2405,plain,
    ! [X2587] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2587,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2587) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2587) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2587,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2587) = X2587 ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1521])]) ).

fof(i_0_2406,plain,
    ! [X3446] :
      ( ~ class_Rings_Olinordered__semidom(X3446)
      | ~ c_Orderings_Oord__class_Oless__eq(X3446,c_Groups_Oone__class_Oone(X3446),c_Groups_Ozero__class_Ozero(X3446)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1522])]) ).

fof(i_0_2407,plain,
    ! [X3449] :
      ( ~ class_Rings_Olinordered__semidom(X3449)
      | ~ c_Orderings_Oord__class_Oless(X3449,c_Groups_Oone__class_Oone(X3449),c_Groups_Ozero__class_Ozero(X3449)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1523])]) ).

cnf(i_0_2408,plain,
    c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),
    inference(split_conjunct,[status(thm)],[i_0_1524]) ).

fof(i_0_2409,plain,
    ! [X4824,X4825,X4826] :
      ( ( c_Groups_Otimes__class_Otimes(X4826,X4825,X4824) != c_Groups_Ozero__class_Ozero(X4826)
        | X4825 = c_Groups_Ozero__class_Ozero(X4826)
        | X4824 = c_Groups_Ozero__class_Ozero(X4826)
        | ~ class_Rings_Oring__no__zero__divisors(X4826) )
      & ( X4825 != c_Groups_Ozero__class_Ozero(X4826)
        | c_Groups_Otimes__class_Otimes(X4826,X4825,X4824) = c_Groups_Ozero__class_Ozero(X4826)
        | ~ class_Rings_Oring__no__zero__divisors(X4826) )
      & ( X4824 != c_Groups_Ozero__class_Ozero(X4826)
        | c_Groups_Otimes__class_Otimes(X4826,X4825,X4824) = c_Groups_Ozero__class_Ozero(X4826)
        | ~ class_Rings_Oring__no__zero__divisors(X4826) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__0__iff])])]) ).

fof(i_0_2410,plain,
    ! [X4830,X4831,X4832] :
      ( ~ class_Rings_Ono__zero__divisors(X4832)
      | c_Groups_Otimes__class_Otimes(X4832,X4831,X4830) != c_Groups_Ozero__class_Ozero(X4832)
      | X4831 = c_Groups_Ozero__class_Ozero(X4832)
      | X4830 = c_Groups_Ozero__class_Ozero(X4832) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divisors__zero])]) ).

fof(i_0_2411,plain,
    ! [X4827,X4828,X4829] :
      ( ~ class_Rings_Ono__zero__divisors(X4829)
      | X4828 = c_Groups_Ozero__class_Ozero(X4829)
      | X4827 = c_Groups_Ozero__class_Ozero(X4829)
      | c_Groups_Otimes__class_Otimes(X4829,X4828,X4827) != c_Groups_Ozero__class_Ozero(X4829) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_no__zero__divisors])]) ).

fof(i_0_2412,plain,
    ! [X3074,X3075] :
      ( ( X3075 = X3074
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3075,X3074)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3074,X3075) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3075,X3074)
        | X3075 != X3074 )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3074,X3075)
        | X3075 != X3074 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__neq__iff])])]) ).

fof(i_0_2413,plain,
    ! [X3072,X3073] :
      ( X3073 = X3072
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3073,X3072)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3072,X3073) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1525])]) ).

fof(i_0_2414,plain,
    ! [X2749,X2750] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X2750,X2749)
      | X2750 = X2749
      | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2749,X2750) ),
    inference(variable_rename,[status(thm)],[fact_zless__linear]) ).

fof(i_0_2415,plain,
    ! [X3450,X3451,X3452] :
      ( ( c_Rings_Oinverse__class_Odivide(X3452,X3450,X3451) != c_Groups_Oone__class_Oone(X3452)
        | X3450 = X3451
        | X3451 = c_Groups_Ozero__class_Ozero(X3452)
        | ~ class_Rings_Odivision__ring(X3452) )
      & ( X3450 != X3451
        | c_Rings_Oinverse__class_Odivide(X3452,X3450,X3451) = c_Groups_Oone__class_Oone(X3452)
        | X3451 = c_Groups_Ozero__class_Ozero(X3452)
        | ~ class_Rings_Odivision__ring(X3452) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__inverse__eq])])]) ).

fof(i_0_2416,plain,
    ! [X2909,X2910] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2910,X2909)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2909,X2910) ),
    inference(variable_rename,[status(thm)],[fact_nat__le__linear]) ).

fof(i_0_2417,plain,
    ! [X3119,X3120] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3120,X3119)
      | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3119,X3120) ),
    inference(variable_rename,[status(thm)],[fact_zle__linear]) ).

fof(i_0_2418,plain,
    ! [X3405,X3406] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3406,X3405)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3405,X3406) ),
    inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).

fof(i_0_2419,plain,
    ! [X2879,X2880] :
      ( ~ class_Groups_Oab__group__add(X2880)
      | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X2880),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2880)),X2879) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X2880),X2879) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__poly__code_I1_J])]) ).

fof(i_0_2420,plain,
    ! [X4811,X4812] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4812,X4811) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4811,X4812),
    inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).

fof(i_0_2421,plain,
    ! [X4364,X4365] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4365,X4364) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4364,X4365),
    inference(variable_rename,[status(thm)],[fact_nat__add__commute]) ).

fof(i_0_2422,plain,
    ! [X4105,X4106] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4106,X4105) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4105,X4106),
    inference(variable_rename,[status(thm)],[fact_zadd__commute]) ).

fof(i_0_2423,plain,
    ! [X3629,X3630] :
      ( ( c_Groups_Oplus__class_Oplus(X3630,X3629,X3629) != c_Groups_Ozero__class_Ozero(X3630)
        | X3629 = c_Groups_Ozero__class_Ozero(X3630)
        | ~ class_Groups_Olinordered__ab__group__add(X3630) )
      & ( X3629 != c_Groups_Ozero__class_Ozero(X3630)
        | c_Groups_Oplus__class_Oplus(X3630,X3629,X3629) = c_Groups_Ozero__class_Ozero(X3630)
        | ~ class_Groups_Olinordered__ab__group__add(X3630) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__eq__0__iff])])]) ).

fof(i_0_2424,plain,
    ! [X4378,X4379,X4380] :
      ( ~ class_Rings_Oring__1__no__zero__divisors(X4380)
      | X4379 = c_Groups_Ozero__class_Ozero(X4380)
      | c_Power_Opower__class_Opower(X4380,X4379,X4378) != c_Groups_Ozero__class_Ozero(X4380) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_field__power__not__zero])]) ).

fof(i_0_2425,plain,
    ! [X3635,X3636] :
      ( ( c_Groups_Ozero__class_Ozero(X3636) != c_Groups_Oplus__class_Oplus(X3636,X3635,X3635)
        | X3635 = c_Groups_Ozero__class_Ozero(X3636)
        | ~ class_Groups_Olinordered__ab__group__add(X3636) )
      & ( X3635 != c_Groups_Ozero__class_Ozero(X3636)
        | c_Groups_Ozero__class_Ozero(X3636) = c_Groups_Oplus__class_Oplus(X3636,X3635,X3635)
        | ~ class_Groups_Olinordered__ab__group__add(X3636) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__zero__sym])])]) ).

fof(i_0_2426,plain,
    ! [X3796] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3796)
      | c_NthRoot_Osqrt(X3796) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X3796 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__eq__zero__cancel])]) ).

fof(i_0_2427,plain,
    ! [X2791,X2792,X2793] :
      ( ( X2792 != X2791
        | c_Groups_Ominus__class_Ominus(X2793,X2792,X2791) = c_Groups_Ozero__class_Ozero(X2793)
        | ~ class_Groups_Oab__group__add(X2793) )
      & ( c_Groups_Ominus__class_Ominus(X2793,X2792,X2791) != c_Groups_Ozero__class_Ozero(X2793)
        | X2792 = X2791
        | ~ class_Groups_Oab__group__add(X2793) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__iff__diff__eq__0])])]) ).

fof(i_0_2428,plain,
    ! [X2794,X2795,X2796] :
      ( ( c_Groups_Ominus__class_Ominus(X2796,X2795,X2794) != c_Groups_Ozero__class_Ozero(X2796)
        | X2795 = X2794
        | ~ class_Groups_Ogroup__add(X2796) )
      & ( X2795 != X2794
        | c_Groups_Ominus__class_Ominus(X2796,X2795,X2794) = c_Groups_Ozero__class_Ozero(X2796)
        | ~ class_Groups_Ogroup__add(X2796) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__minus__eq])])]) ).

fof(i_0_2429,plain,
    ! [X3924,X3925] :
      ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3925,X3924) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X3924 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3925) )
      & ( X3924 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3925)
        | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3925,X3924) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__eq__0__iff])]) ).

fof(i_0_2430,plain,
    ! [X4543,X4544,X4545] :
      ( ( X4544 != c_Groups_Oplus__class_Oplus(X4545,X4544,X4543)
        | X4543 = c_Groups_Ozero__class_Ozero(X4545)
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4545) )
      & ( X4543 != c_Groups_Ozero__class_Ozero(X4545)
        | X4544 = c_Groups_Oplus__class_Oplus(X4545,X4544,X4543)
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4545) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])]) ).

fof(i_0_2431,plain,
    ! [X3799] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3799)
      | c_NthRoot_Osqrt(X3799) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__not__eq__zero])]) ).

fof(i_0_2432,plain,
    ! [X3077,X3078] :
      ( ( c_Polynomial_Opoly(X3078,X3077) != c_Polynomial_Opoly(X3078,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3078)))
        | X3077 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3078))
        | ~ class_Int_Oring__char__0(X3078)
        | ~ class_Rings_Oidom(X3078) )
      & ( X3077 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3078))
        | c_Polynomial_Opoly(X3078,X3077) = c_Polynomial_Opoly(X3078,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3078)))
        | ~ class_Int_Oring__char__0(X3078)
        | ~ class_Rings_Oidom(X3078) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__zero])])]) ).

fof(i_0_2433,plain,
    ! [X3259,X3260,X3261] :
      ( ~ class_Orderings_Oorder(X3261)
      | ~ c_Orderings_Oord__class_Oless(X3261,X3260,X3259)
      | X3259 != X3260 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__not__eq2])]) ).

fof(i_0_2434,plain,
    ! [X3256,X3257,X3258] :
      ( ~ class_Orderings_Oorder(X3258)
      | ~ c_Orderings_Oord__class_Oless(X3258,X3257,X3256)
      | X3257 != X3256 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__not__eq])]) ).

fof(i_0_2435,plain,
    ! [X3247,X3248,X3249] :
      ( ~ class_Orderings_Oorder(X3249)
      | ~ c_Orderings_Oord__class_Oless(X3249,X3248,X3247)
      | X3248 != X3247 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__neq])]) ).

fof(i_0_2436,plain,
    ! [X3155] :
      ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3155) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3155,c_Int_OPls) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3155,c_Int_OPls)
        | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3155) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__number__of__0])]) ).

fof(i_0_2437,plain,
    ! [X3156] :
      ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3156)
        | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3156,c_Int_OPls) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3156,c_Int_OPls)
        | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3156) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__0__number__of])]) ).

fof(i_0_2438,plain,
    ! [X2603,X2604] :
      ( ~ class_Fields_Ofield__inverse__zero(X2604)
      | ~ class_Int_Onumber__ring(X2604)
      | c_Rings_Oinverse__class_Odivide(X2604,X2603,c_Int_Onumber__class_Onumber__of(X2604,c_Int_OPls)) = c_Groups_Ozero__class_Ozero(X2604) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__Numeral0])]) ).

fof(i_0_2439,plain,
    ! [X2871] :
      ( ( X2871 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2871) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2871)
        | X2871 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neq0__conv])]) ).

fof(i_0_2440,plain,
    ! [X3000,X3001] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3001)
      | c_Orderings_Oord__class_Oless__eq(X3001,c_Groups_Ozero__class_Ozero(X3001),c_Groups_Oabs__class_Oabs(X3001,X3000)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__ge__zero])]) ).

fof(i_0_2441,plain,
    ! [X3230,X3231] :
      ( ~ class_Orderings_Opreorder(X3231)
      | ~ c_Orderings_Oord__class_Oless(X3231,X3230,X3230) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1526])]) ).

fof(i_0_2442,plain,
    ! [X2922] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2922,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X2922 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X2922 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2922,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__0__eq])]) ).

cnf(i_0_2443,plain,
    c_Nat_OSuc(X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_1527]) ).

cnf(i_0_2444,plain,
    c_Nat_OSuc(X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_1528]) ).

cnf(i_0_2445,plain,
    c_Nat_OSuc(X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_1529]) ).

cnf(i_0_2446,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X1),
    inference(split_conjunct,[status(thm)],[i_0_1530]) ).

cnf(i_0_2447,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X1),
    inference(split_conjunct,[status(thm)],[i_0_1531]) ).

cnf(i_0_2448,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X1),
    inference(split_conjunct,[status(thm)],[i_0_1532]) ).

fof(i_0_2449,plain,
    ! [X3869,X3870] :
      ( ~ class_Groups_Oab__group__add(X3870)
      | c_Groups_Oplus__class_Oplus(X3870,c_Groups_Ouminus__class_Ouminus(X3870,X3869),X3869) = c_Groups_Ozero__class_Ozero(X3870) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__left__minus])]) ).

fof(i_0_2450,plain,
    ! [X3867,X3868] :
      ( ~ class_Groups_Ogroup__add(X3868)
      | c_Groups_Oplus__class_Oplus(X3868,c_Groups_Ouminus__class_Ouminus(X3868,X3867),X3867) = c_Groups_Ozero__class_Ozero(X3868) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_left__minus])]) ).

fof(i_0_2451,plain,
    ! [X3862,X3863] :
      ( ~ class_Groups_Ogroup__add(X3863)
      | c_Groups_Oplus__class_Oplus(X3863,X3862,c_Groups_Ouminus__class_Ouminus(X3863,X3862)) = c_Groups_Ozero__class_Ozero(X3863) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__minus])]) ).

fof(i_0_2452,plain,
    ! [X4115,X4116] :
      ( ( X4116 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4116,X4115) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X4115 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4116,X4115) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X4116 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4115 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4116,X4115) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__is__0])])]) ).

fof(i_0_2453,plain,
    ! [X3083,X3084] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3084,X3083)
      | X3083 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr__implies__not0])]) ).

cnf(i_0_2454,plain,
    c_Nat_OSuc(X1) != X1,
    inference(split_conjunct,[status(thm)],[i_0_1533]) ).

cnf(i_0_2455,plain,
    X1 != c_Nat_OSuc(X1),
    inference(split_conjunct,[status(thm)],[i_0_1534]) ).

fof(i_0_2456,plain,
    ! [X2589,X2590] :
      ( ~ class_Int_Onumber__ring(X2590)
      | ~ class_RealVector_Oreal__normed__algebra__1(X2590)
      | c_RealVector_Onorm__class_Onorm(X2590,c_Int_Onumber__class_Onumber__of(X2590,X2589)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X2589)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__number__of])]) ).

fof(i_0_2457,plain,
    ! [X3145,X3146] :
      ( ~ class_RealVector_Oreal__normed__vector(X3146)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3146,X3145)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__ge__zero])]) ).

fof(i_0_2458,plain,
    ! [X4117,X4118] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4118,X4117) != X4118
      | X4117 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])]) ).

fof(i_0_2459,plain,
    ! [X2874] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2874,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[i_0_1535]) ).

fof(i_0_2460,plain,
    ! [X2870] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2870,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[i_0_1536]) ).

fof(i_0_2461,plain,
    ! [X2851] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2851,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[i_0_1537]) ).

fof(i_0_2462,plain,
    ! [X3439,X3440] :
      ( ~ class_Rings_Ocomm__semiring__1(X3440)
      | hAPP(c_Polynomial_Opoly(X3440,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X3440))),X3439) = c_Groups_Oone__class_Oone(X3440) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__1])]) ).

fof(i_0_2463,plain,
    ! [X2868,X2869] :
      ( ~ class_Rings_Ocomm__semiring__0(X2869)
      | hAPP(c_Polynomial_Opoly(X2869,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2869))),X2868) = c_Groups_Ozero__class_Ozero(X2869) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__0])]) ).

fof(i_0_2464,plain,
    ! [X2962,X2963] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2963)
      | c_Orderings_Oord__class_Oless__eq(X2963,X2962,c_Groups_Oabs__class_Oabs(X2963,X2962)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__ge__self])]) ).

fof(i_0_2465,plain,
    ! [X3069,X3070] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3070,X3069)
      | X3069 != X3070 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__not__refl2])]) ).

fof(i_0_2466,plain,
    ! [X3067,X3068] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3068,X3067)
      | X3068 != X3067 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__not__refl3])]) ).

fof(i_0_2467,plain,
    ! [X4221,X4222] :
      ( ~ class_Groups_Ocomm__monoid__add(X4222)
      | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4222),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4222)),X4221) = X4221 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__poly__code_I1_J])]) ).

fof(i_0_2468,plain,
    ! [X4223,X4224] :
      ( ~ class_Groups_Ocomm__monoid__add(X4224)
      | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4224),X4223,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4224))) = X4223 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__poly__code_I2_J])]) ).

fof(i_0_2469,plain,
    ! [X2881,X2882] :
      ( ~ class_Groups_Oab__group__add(X2882)
      | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X2882),X2881,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2882))) = X2881 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__poly__code_I2_J])]) ).

fof(i_0_2470,plain,
    ! [X3113] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_g____(X3113)),v_r),
    inference(variable_rename,[status(thm)],[fact_g_I1_J]) ).

fof(i_0_2471,plain,
    ! [X2940,X2941] :
      ( ~ c_SEQ_Osubseq(X2941)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2940,hAPP(X2941,X2940)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_seq__suble])]) ).

fof(i_0_2472,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(fof_simplification,[status(thm)],[fact_bin__less__0__simps_I1_J]) ).

fof(i_0_2473,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk21_0),v_r)
    & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk21_0)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk20_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_mth1])]) ).

fof(i_0_2474,plain,
    ! [X3888,X3889] :
      ( ~ class_Int_Onumber__ring(X3889)
      | c_Groups_Oplus__class_Oplus(X3889,c_Int_Onumber__class_Onumber__of(X3889,c_Int_OPls),X3888) = X3888 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__numeral__0])]) ).

fof(i_0_2475,plain,
    ! [X3886,X3887] :
      ( ~ class_Int_Onumber__ring(X3887)
      | c_Groups_Oplus__class_Oplus(X3887,X3886,c_Int_Onumber__class_Onumber__of(X3887,c_Int_OPls)) = X3886 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__numeral__0__right])]) ).

cnf(i_0_2476,plain,
    ( c_Int_OPls = X1
    | c_Int_OPls != c_Int_OBit0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1538]) ).

cnf(i_0_2477,plain,
    ( X1 = c_Int_OPls
    | c_Int_OBit0(X1) != c_Int_OPls ),
    inference(split_conjunct,[status(thm)],[i_0_1539]) ).

fof(i_0_2478,plain,
    ! [X4449,X4450] :
      ( ( X4449 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Power_Opower__class_Opower(X4450,c_Groups_Ozero__class_Ozero(X4450),X4449) = c_Groups_Oone__class_Oone(X4450)
        | ~ class_Power_Opower(X4450)
        | ~ class_Rings_Osemiring__0(X4450) )
      & ( X4449 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Power_Opower__class_Opower(X4450,c_Groups_Ozero__class_Ozero(X4450),X4449) = c_Groups_Ozero__class_Ozero(X4450)
        | ~ class_Power_Opower(X4450)
        | ~ class_Rings_Osemiring__0(X4450) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0__left])])]) ).

fof(i_0_2479,plain,
    ! [X2642,X2643] :
      ( ~ class_Int_Onumber__ring(X2643)
      | c_Int_Onumber__class_Onumber__of(X2643,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2642)) = c_Groups_Ouminus__class_Ouminus(X2643,c_Int_Onumber__class_Onumber__of(X2643,X2642)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_number__of__minus])]) ).

fof(i_0_2480,plain,
    ! [X2644,X2645] :
      ( ~ class_Int_Onumber__ring(X2645)
      | c_Groups_Ouminus__class_Ouminus(X2645,c_Int_Onumber__class_Onumber__of(X2645,X2644)) = c_Int_Onumber__class_Onumber__of(X2645,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2644)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_arith__simps_I30_J])]) ).

fof(i_0_2481,plain,
    ! [X3076] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3076,X3076),
    inference(variable_rename,[status(thm)],[i_0_1540]) ).

fof(i_0_2482,plain,
    ! [X3071] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3071,X3071),
    inference(variable_rename,[status(thm)],[i_0_1541]) ).

fof(i_0_2483,plain,
    ! [X2739,X2740] :
      ( ~ class_Groups_Ogroup__add(X2740)
      | c_Groups_Ominus__class_Ominus(X2740,c_Groups_Ozero__class_Ozero(X2740),X2739) = c_Groups_Ouminus__class_Ouminus(X2740,X2739) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__0])]) ).

fof(i_0_2484,plain,
    ! [X3485] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X3485)),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__ge__zero]) ).

fof(i_0_2485,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OPls),
    inference(fof_simplification,[status(thm)],[fact_rel__simps_I2_J]) ).

fof(i_0_2486,plain,
    ! [X4302] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4302),X4302) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(variable_rename,[status(thm)],[fact_zadd__zminus__inverse2]) ).

fof(i_0_2487,plain,
    ! [X3455,X3456] :
      ( ( X3455 != c_Groups_Ozero__class_Ozero(X3456)
        | c_Rings_Oinverse__class_Odivide(X3456,X3455,X3455) = c_Groups_Ozero__class_Ozero(X3456)
        | ~ class_Rings_Odivision__ring__inverse__zero(X3456) )
      & ( X3455 = c_Groups_Ozero__class_Ozero(X3456)
        | c_Rings_Oinverse__class_Odivide(X3456,X3455,X3455) = c_Groups_Oone__class_Oone(X3456)
        | ~ class_Rings_Odivision__ring__inverse__zero(X3456) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__self__if])])]) ).

fof(i_0_2488,plain,
    ! [X3447] :
      ( ~ class_Rings_Olinordered__semidom(X3447)
      | c_Orderings_Oord__class_Oless__eq(X3447,c_Groups_Ozero__class_Ozero(X3447),c_Groups_Oone__class_Oone(X3447)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__one])]) ).

fof(i_0_2489,plain,
    ! [X3448] :
      ( ~ class_Rings_Olinordered__semidom(X3448)
      | c_Orderings_Oord__class_Oless(X3448,c_Groups_Ozero__class_Ozero(X3448),c_Groups_Oone__class_Oone(X3448)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__one])]) ).

fof(i_0_2490,plain,
    ! [X4835,X4836] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4836)
      | c_Groups_Otimes__class_Otimes(X4836,c_Groups_Ozero__class_Ozero(X4836),X4835) = c_Groups_Ozero__class_Ozero(X4836) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Ozero])]) ).

fof(i_0_2491,plain,
    ! [X4833,X4834] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4834)
      | c_Groups_Otimes__class_Otimes(X4834,c_Groups_Ozero__class_Ozero(X4834),X4833) = c_Groups_Ozero__class_Ozero(X4834) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ozero__left])]) ).

fof(i_0_2492,plain,
    ! [X4820,X4821] :
      ( ~ class_Rings_Omult__zero(X4821)
      | c_Groups_Otimes__class_Otimes(X4821,c_Groups_Ozero__class_Ozero(X4821),X4820) = c_Groups_Ozero__class_Ozero(X4821) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__left])]) ).

fof(i_0_2493,plain,
    ! [X4992,X4993] :
      ( ~ class_Rings_Ocomm__semiring__1(X4993)
      | c_Groups_Otimes__class_Otimes(X4993,c_Groups_Ozero__class_Ozero(X4993),X4992) = c_Groups_Ozero__class_Ozero(X4993) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J])]) ).

fof(i_0_2494,plain,
    ! [X4381,X4382] :
      ( ~ class_Groups_Omonoid__mult(X4382)
      | c_Power_Opower__class_Opower(X4382,c_Groups_Oone__class_Oone(X4382),X4381) = c_Groups_Oone__class_Oone(X4382) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one])]) ).

fof(i_0_2495,plain,
    ! [X2820,X2821] :
      ( ~ class_Rings_Odivision__ring(X2821)
      | c_Rings_Oinverse__class_Odivide(X2821,c_Groups_Ozero__class_Ozero(X2821),X2820) = c_Groups_Ozero__class_Ozero(X2821) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero__left])]) ).

fof(i_0_2496,plain,
    ! [X2640,X2641] :
      ( ~ class_RealVector_Oreal__normed__field(X2641)
      | c_Rings_Oinverse__class_Odivide(X2641,c_Groups_Ozero__class_Ozero(X2641),X2640) = c_Groups_Ozero__class_Ozero(X2641) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Ozero])]) ).

fof(i_0_2497,plain,
    ! [X4839,X4840] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4840)
      | c_Groups_Otimes__class_Otimes(X4840,X4839,c_Groups_Ozero__class_Ozero(X4840)) = c_Groups_Ozero__class_Ozero(X4840) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Ozero])]) ).

fof(i_0_2498,plain,
    ! [X4837,X4838] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4838)
      | c_Groups_Otimes__class_Otimes(X4838,X4837,c_Groups_Ozero__class_Ozero(X4838)) = c_Groups_Ozero__class_Ozero(X4838) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ozero__right])]) ).

fof(i_0_2499,plain,
    ! [X4822,X4823] :
      ( ~ class_Rings_Omult__zero(X4823)
      | c_Groups_Otimes__class_Otimes(X4823,X4822,c_Groups_Ozero__class_Ozero(X4823)) = c_Groups_Ozero__class_Ozero(X4823) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__right])]) ).

fof(i_0_2500,plain,
    ! [X4994,X4995] :
      ( ~ class_Rings_Ocomm__semiring__1(X4995)
      | c_Groups_Otimes__class_Otimes(X4995,X4994,c_Groups_Ozero__class_Ozero(X4995)) = c_Groups_Ozero__class_Ozero(X4995) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J])]) ).

fof(i_0_2501,plain,
    ! [X2822,X2823] :
      ( ~ class_Rings_Odivision__ring__inverse__zero(X2823)
      | c_Rings_Oinverse__class_Odivide(X2823,X2822,c_Groups_Ozero__class_Ozero(X2823)) = c_Groups_Ozero__class_Ozero(X2823) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero])]) ).

fof(i_0_2502,plain,
    ! [X3453,X3454] :
      ( ~ class_Rings_Odivision__ring(X3454)
      | X3453 = c_Groups_Ozero__class_Ozero(X3454)
      | c_Rings_Oinverse__class_Odivide(X3454,X3453,X3453) = c_Groups_Oone__class_Oone(X3454) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__self])]) ).

fof(i_0_2503,plain,
    ! [X2746] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2746)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2746)),
    inference(variable_rename,[status(thm)],[fact_minus__numeral__code_I5_J]) ).

fof(i_0_2504,plain,
    ! [X4418,X4419] :
      ( ~ class_Power_Opower(X4419)
      | c_Power_Opower__class_Opower(X4419,X4418,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X4419) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0])]) ).

fof(i_0_2505,plain,
    ! [X4517,X4518] :
      ( ~ class_Rings_Ocomm__semiring__1(X4518)
      | c_Power_Opower__class_Opower(X4518,X4517,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X4518) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J])]) ).

fof(i_0_2506,plain,
    ! [X4968,X4969] :
      ( ~ class_Groups_Ocomm__monoid__mult(X4969)
      | c_Groups_Otimes__class_Otimes(X4969,c_Groups_Oone__class_Oone(X4969),X4968) = X4968 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1])]) ).

fof(i_0_2507,plain,
    ! [X4970,X4971] :
      ( ~ class_Groups_Omonoid__mult(X4971)
      | c_Groups_Otimes__class_Otimes(X4971,c_Groups_Oone__class_Oone(X4971),X4970) = X4970 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1__left])]) ).

fof(i_0_2508,plain,
    ! [X4972,X4973] :
      ( ~ class_Rings_Ocomm__semiring__1(X4973)
      | c_Groups_Otimes__class_Otimes(X4973,c_Groups_Oone__class_Oone(X4973),X4972) = X4972 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])]) ).

fof(i_0_2509,plain,
    ! [X3639,X3640] :
      ( ~ class_Groups_Omonoid__add(X3640)
      | c_Groups_Oplus__class_Oplus(X3640,c_Groups_Ozero__class_Ozero(X3640),X3639) = X3639 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__left])]) ).

fof(i_0_2510,plain,
    ! [X3637,X3638] :
      ( ~ class_Groups_Ocomm__monoid__add(X3638)
      | c_Groups_Oplus__class_Oplus(X3638,c_Groups_Ozero__class_Ozero(X3638),X3637) = X3637 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0])]) ).

fof(i_0_2511,plain,
    ! [X4548,X4549] :
      ( ~ class_Rings_Ocomm__semiring__1(X4549)
      | c_Groups_Oplus__class_Oplus(X4549,c_Groups_Ozero__class_Ozero(X4549),X4548) = X4548 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J])]) ).

fof(i_0_2512,plain,
    ! [X4964,X4965] :
      ( ~ class_Groups_Ocomm__monoid__mult(X4965)
      | c_Groups_Otimes__class_Otimes(X4965,X4964,c_Groups_Oone__class_Oone(X4965)) = X4964 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ocomm__neutral])]) ).

fof(i_0_2513,plain,
    ! [X4966,X4967] :
      ( ~ class_Groups_Omonoid__mult(X4967)
      | c_Groups_Otimes__class_Otimes(X4967,X4966,c_Groups_Oone__class_Oone(X4967)) = X4966 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1__right])]) ).

fof(i_0_2514,plain,
    ! [X4974,X4975] :
      ( ~ class_Rings_Ocomm__semiring__1(X4975)
      | c_Groups_Otimes__class_Otimes(X4975,X4974,c_Groups_Oone__class_Oone(X4975)) = X4974 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J])]) ).

fof(i_0_2515,plain,
    ! [X3633,X3634] :
      ( ~ class_Groups_Omonoid__add(X3634)
      | c_Groups_Oplus__class_Oplus(X3634,X3633,c_Groups_Ozero__class_Ozero(X3634)) = X3633 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__right])]) ).

fof(i_0_2516,plain,
    ! [X3631,X3632] :
      ( ~ class_Groups_Ocomm__monoid__add(X3632)
      | c_Groups_Oplus__class_Oplus(X3632,X3631,c_Groups_Ozero__class_Ozero(X3632)) = X3631 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add_Ocomm__neutral])]) ).

fof(i_0_2517,plain,
    ! [X4546,X4547] :
      ( ~ class_Rings_Ocomm__semiring__1(X4547)
      | c_Groups_Oplus__class_Oplus(X4547,X4546,c_Groups_Ozero__class_Ozero(X4547)) = X4546 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J])]) ).

fof(i_0_2518,plain,
    ! [X3443,X3444] :
      ( ~ class_Rings_Odivision__ring(X3444)
      | c_Rings_Oinverse__class_Odivide(X3444,X3443,c_Groups_Oone__class_Oone(X3444)) = X3443 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__1])]) ).

fof(i_0_2519,plain,
    ! [X2787,X2788] :
      ( ~ class_Groups_Ogroup__add(X2788)
      | c_Groups_Ominus__class_Ominus(X2788,X2787,c_Groups_Ozero__class_Ozero(X2788)) = X2787 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__0__right])]) ).

fof(i_0_2520,plain,
    ! [X4390,X4391] :
      ( ~ class_Groups_Omonoid__mult(X4391)
      | c_Power_Opower__class_Opower(X4391,X4390,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X4390 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one__right])]) ).

fof(i_0_2521,plain,
    ! [X4550,X4551] :
      ( ~ class_Rings_Ocomm__semiring__1(X4551)
      | c_Power_Opower__class_Opower(X4551,X4550,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X4550 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])]) ).

fof(i_0_2522,plain,
    ! [X2789,X2790] :
      ( ~ class_Groups_Ogroup__add(X2790)
      | c_Groups_Ominus__class_Ominus(X2790,X2789,X2789) = c_Groups_Ozero__class_Ozero(X2790) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__self])]) ).

fof(i_0_2523,plain,
    ! [X3213,X3214,X3215] :
      ( ~ class_Orderings_Opreorder(X3215)
      | X3214 != X3213
      | c_Orderings_Oord__class_Oless__eq(X3215,X3214,X3213) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__eq__refl])]) ).

fof(i_0_2524,plain,
    ! [X4789,X4790] :
      ( ~ class_Lattices_Oab__semigroup__idem__mult(X4790)
      | c_Groups_Otimes__class_Otimes(X4790,X4789,X4789) = X4789 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_times_Oidem])]) ).

fof(i_0_2525,plain,
    ! [X4787,X4788] :
      ( ~ class_Lattices_Oab__semigroup__idem__mult(X4788)
      | c_Groups_Otimes__class_Otimes(X4788,X4787,X4787) = X4787 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__idem])]) ).

fof(i_0_2526,plain,
    ! [X3092,X3093] :
      ( ~ class_Orderings_Opreorder(X3093)
      | c_Orderings_Oord__class_Oless__eq(X3093,X3092,X3092) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__refl])]) ).

cnf(i_0_2527,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[fact_One__nat__def]) ).

fof(i_0_2528,plain,
    ! [X2785,X2786] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2786)
      | c_Groups_Oabs__class_Oabs(X2786,c_Groups_Oabs__class_Oabs(X2786,X2785)) = c_Groups_Oabs__class_Oabs(X2786,X2785) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__idempotent])]) ).

fof(i_0_2529,plain,
    ! [X2840,X2841] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2841)
      | c_Groups_Oabs__class_Oabs(X2841,c_Groups_Ouminus__class_Ouminus(X2841,X2840)) = c_Groups_Oabs__class_Oabs(X2841,X2840) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__minus__cancel])]) ).

fof(i_0_2530,plain,
    ! [X2670,X2671] :
      ( ~ class_RealVector_Oreal__normed__vector(X2671)
      | c_RealVector_Onorm__class_Onorm(X2671,c_Groups_Ouminus__class_Ouminus(X2671,X2670)) = c_RealVector_Onorm__class_Onorm(X2671,X2670) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__minus__cancel])]) ).

fof(i_0_2531,plain,
    ! [X2624,X2625,X2626] :
      ( ( c_Int_Onumber__class_Onumber__of(X2626,X2625) != c_Int_Onumber__class_Onumber__of(X2626,X2624)
        | X2625 = X2624
        | ~ class_Int_Onumber__ring(X2626)
        | ~ class_Int_Oring__char__0(X2626) )
      & ( X2625 != X2624
        | c_Int_Onumber__class_Onumber__of(X2626,X2625) = c_Int_Onumber__class_Onumber__of(X2626,X2624)
        | ~ class_Int_Onumber__ring(X2626)
        | ~ class_Int_Oring__char__0(X2626) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__number__of])])]) ).

fof(i_0_2532,plain,
    ! [X3079,X3080,X3081] :
      ( ( c_Polynomial_Opoly(X3081,X3080) != c_Polynomial_Opoly(X3081,X3079)
        | X3080 = X3079
        | ~ class_Int_Oring__char__0(X3081)
        | ~ class_Rings_Oidom(X3081) )
      & ( X3080 != X3079
        | c_Polynomial_Opoly(X3081,X3080) = c_Polynomial_Opoly(X3081,X3079)
        | ~ class_Int_Oring__char__0(X3081)
        | ~ class_Rings_Oidom(X3081) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__eq__iff])])]) ).

fof(i_0_2533,plain,
    ! [X3082] :
      ( X3082 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3082) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr0I])]) ).

fof(i_0_2534,plain,
    ! [X2675,X2676] :
      ( ~ class_RealVector_Oreal__normed__vector(X2676)
      | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2676,X2675)) = c_RealVector_Onorm__class_Onorm(X2676,X2675) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__norm__cancel])]) ).

fof(i_0_2535,plain,
    ! [X3057] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3057) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_diff__0__eq__0]) ).

fof(i_0_2536,plain,
    ! [X4963] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X4963) = X4963,
    inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).

fof(i_0_2537,plain,
    ! [X4113] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4113) = X4113,
    inference(variable_rename,[status(thm)],[fact_plus__nat_Oadd__0]) ).

fof(i_0_2538,plain,
    ! [X4119] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4119) = X4119,
    inference(variable_rename,[status(thm)],[fact_zadd__0]) ).

fof(i_0_2539,plain,
    ! [X4114] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4114,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4114,
    inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).

fof(i_0_2540,plain,
    ! [X4120] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4120,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X4120,
    inference(variable_rename,[status(thm)],[fact_zadd__0__right]) ).

fof(i_0_2541,plain,
    ! [X3056] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3056,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X3056,
    inference(variable_rename,[status(thm)],[fact_minus__nat_Odiff__0]) ).

fof(i_0_2542,plain,
    ! [X2911,X2912] :
      ( X2912 != X2911
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2912,X2911) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__imp__le])]) ).

fof(i_0_2543,plain,
    ! [X2923] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2923),
    inference(variable_rename,[status(thm)],[fact_less__eq__nat_Osimps_I1_J]) ).

fof(i_0_2544,plain,
    ! [X2875] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2875),
    inference(variable_rename,[status(thm)],[fact_le0]) ).

fof(i_0_2545,plain,
    ! [X2876] :
      ( ~ class_Groups_Oab__group__add(X2876)
      | c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X2876),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2876))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2876)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__poly__code_I1_J])]) ).

cnf(i_0_2546,plain,
    ( c_Int_OBit0(X1) = c_Int_OPls
    | X1 != c_Int_OPls ),
    inference(split_conjunct,[status(thm)],[i_0_1539]) ).

cnf(i_0_2547,plain,
    ( c_Int_OPls = c_Int_OBit0(X1)
    | c_Int_OPls != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_1538]) ).

fof(i_0_2548,plain,
    ! [X3055] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3055,X3055) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_diff__self__eq__0]) ).

fof(i_0_2549,plain,
    ! [X3312,X3313,X3314] :
      ( ( c_Groups_Ouminus__class_Ouminus(X3314,X3313) != c_Groups_Ouminus__class_Ouminus(X3314,X3312)
        | X3313 = X3312
        | ~ class_Lattices_Oboolean__algebra(X3314) )
      & ( X3313 != X3312
        | c_Groups_Ouminus__class_Ouminus(X3314,X3313) = c_Groups_Ouminus__class_Ouminus(X3314,X3312)
        | ~ class_Lattices_Oboolean__algebra(X3314) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_compl__eq__compl__iff])])]) ).

fof(i_0_2550,plain,
    ! [X2779,X2780,X2781] :
      ( ( c_Groups_Ouminus__class_Ouminus(X2781,X2780) != c_Groups_Ouminus__class_Ouminus(X2781,X2779)
        | X2780 = X2779
        | ~ class_Groups_Ogroup__add(X2781) )
      & ( X2780 != X2779
        | c_Groups_Ouminus__class_Ouminus(X2781,X2780) = c_Groups_Ouminus__class_Ouminus(X2781,X2779)
        | ~ class_Groups_Ogroup__add(X2781) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__equal__iff__equal])])]) ).

fof(i_0_2551,plain,
    ! [X2908] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2908,X2908),
    inference(variable_rename,[status(thm)],[fact_le__refl]) ).

fof(i_0_2552,plain,
    ! [X3121] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3121,X3121),
    inference(variable_rename,[status(thm)],[fact_zle__refl]) ).

fof(i_0_2553,plain,
    ! [X3407] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3407,X3407),
    inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).

fof(i_0_2554,plain,
    ! [X4121] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X4121) = X4121,
    inference(variable_rename,[status(thm)],[fact_add__Pls]) ).

fof(i_0_2555,plain,
    ! [X4122] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4122,c_Int_OPls) = X4122,
    inference(variable_rename,[status(thm)],[fact_add__Pls__right]) ).

fof(i_0_2556,plain,
    ! [X2753] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2753,c_Int_OPls) = X2753,
    inference(variable_rename,[status(thm)],[fact_diff__bin__simps_I1_J]) ).

cnf(i_0_2557,plain,
    c_Int_OBit0(c_Int_OPls) = c_Int_OPls,
    inference(split_conjunct,[status(thm)],[fact_Bit0__Pls]) ).

fof(i_0_2558,plain,
    ! [X3306,X3307] :
      ( ~ class_Lattices_Oboolean__algebra(X3307)
      | c_Groups_Ouminus__class_Ouminus(X3307,c_Groups_Ouminus__class_Ouminus(X3307,X3306)) = X3306 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__compl])]) ).

fof(i_0_2559,plain,
    ! [X2771,X2772] :
      ( ~ class_Groups_Ogroup__add(X2772)
      | c_Groups_Ouminus__class_Ouminus(X2772,c_Groups_Ouminus__class_Ouminus(X2772,X2771)) = X2771 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__minus])]) ).

fof(i_0_2560,plain,
    ! [X3714] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X3714)) = c_RealDef_Oreal(tc_Nat_Onat,X3714),
    inference(variable_rename,[status(thm)],[fact_abs__real__of__nat__cancel]) ).

fof(i_0_2561,plain,
    ! [X2776,X2777,X2778] :
      ( ( c_Groups_Ouminus__class_Ouminus(X2778,X2777) != X2776
        | c_Groups_Ouminus__class_Ouminus(X2778,X2776) = X2777
        | ~ class_Groups_Ogroup__add(X2778) )
      & ( c_Groups_Ouminus__class_Ouminus(X2778,X2776) != X2777
        | c_Groups_Ouminus__class_Ouminus(X2778,X2777) = X2776
        | ~ class_Groups_Ogroup__add(X2778) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__equation__iff])])]) ).

fof(i_0_2562,plain,
    ! [X2773,X2774,X2775] :
      ( ( X2774 != c_Groups_Ouminus__class_Ouminus(X2775,X2773)
        | X2773 = c_Groups_Ouminus__class_Ouminus(X2775,X2774)
        | ~ class_Groups_Ogroup__add(X2775) )
      & ( X2773 != c_Groups_Ouminus__class_Ouminus(X2775,X2774)
        | X2774 = c_Groups_Ouminus__class_Ouminus(X2775,X2773)
        | ~ class_Groups_Ogroup__add(X2775) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equation__minus__iff])])]) ).

fof(i_0_2563,plain,
    ! [X3599] : c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3599)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(X3599)),
    inference(variable_rename,[status(thm)],[fact_real__sqrt__minus]) ).

fof(i_0_2564,plain,
    ! [X3087,X3088] :
      ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3088,X3087) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X3087 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3088))
        | ~ class_Groups_Ozero(X3088) )
      & ( X3087 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3088))
        | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3088,X3087) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ class_Groups_Ozero(X3088) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_psize__eq__0__iff])])]) ).

fof(i_0_2565,plain,
    ! [X4565] :
      ( ~ class_Int_Onumber__ring(X4565)
      | c_Int_Oiszero(X4565,c_Int_Onumber__class_Onumber__of(X4565,c_Int_OPls)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_iszero__Numeral0])]) ).

fof(i_0_2566,plain,
    ! [X3527,X3528] :
      ( ( c_RealDef_Oreal(tc_Nat_Onat,X3528) != c_RealDef_Oreal(tc_Nat_Onat,X3527)
        | X3528 = X3527 )
      & ( X3528 != X3527
        | c_RealDef_Oreal(tc_Nat_Onat,X3528) = c_RealDef_Oreal(tc_Nat_Onat,X3527) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__inject])]) ).

fof(i_0_2567,plain,
    ! [X2803,X2804] :
      ( ( c_Groups_Ozero__class_Ozero(X2804) != c_Groups_Ouminus__class_Ouminus(X2804,X2803)
        | c_Groups_Ozero__class_Ozero(X2804) = X2803
        | ~ class_Groups_Ogroup__add(X2804) )
      & ( c_Groups_Ozero__class_Ozero(X2804) != X2803
        | c_Groups_Ozero__class_Ozero(X2804) = c_Groups_Ouminus__class_Ouminus(X2804,X2803)
        | ~ class_Groups_Ogroup__add(X2804) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__0__equal__iff__equal])])]) ).

fof(i_0_2568,plain,
    ! [X2828,X2829] :
      ( ( c_Groups_Oabs__class_Oabs(X2829,X2828) != c_Groups_Ozero__class_Ozero(X2829)
        | X2828 = c_Groups_Ozero__class_Ozero(X2829)
        | ~ class_Groups_Oordered__ab__group__add__abs(X2829) )
      & ( X2828 != c_Groups_Ozero__class_Ozero(X2829)
        | c_Groups_Oabs__class_Oabs(X2829,X2828) = c_Groups_Ozero__class_Ozero(X2829)
        | ~ class_Groups_Oordered__ab__group__add__abs(X2829) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__eq__0])])]) ).

fof(i_0_2569,plain,
    ! [X2807,X2808] :
      ( ( c_Groups_Ouminus__class_Ouminus(X2808,X2807) != c_Groups_Ozero__class_Ozero(X2808)
        | X2807 = c_Groups_Ozero__class_Ozero(X2808)
        | ~ class_Groups_Ogroup__add(X2808) )
      & ( X2807 != c_Groups_Ozero__class_Ozero(X2808)
        | c_Groups_Ouminus__class_Ouminus(X2808,X2807) = c_Groups_Ozero__class_Ozero(X2808)
        | ~ class_Groups_Ogroup__add(X2808) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__equal__0__iff__equal])])]) ).

fof(i_0_2570,plain,
    ! [X4562] :
      ( ~ class_Rings_Osemiring__1(X4562)
      | ~ c_Int_Oiszero(X4562,c_Groups_Oone__class_Oone(X4562)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1542])]) ).

fof(i_0_2571,plain,
    ! [X2705,X2706] :
      ( ( c_RealVector_Onorm__class_Onorm(X2706,X2705) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X2705 = c_Groups_Ozero__class_Ozero(X2706)
        | ~ class_RealVector_Oreal__normed__vector(X2706) )
      & ( X2705 != c_Groups_Ozero__class_Ozero(X2706)
        | c_RealVector_Onorm__class_Onorm(X2706,X2705) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | ~ class_RealVector_Oreal__normed__vector(X2706) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__eq__zero])])]) ).

fof(i_0_2572,plain,
    ! [X5047,X5048] :
      ( ~ class_Groups_Ouminus(X5048)
      | class_Groups_Ouminus(tc_fun(X5047,X5048)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Groups_Ouminus])]) ).

fof(i_0_2573,plain,
    ! [X5049,X5050] :
      ( ~ class_Groups_Ominus(X5050)
      | class_Groups_Ominus(tc_fun(X5049,X5050)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Groups_Ominus])]) ).

fof(i_0_2574,plain,
    ! [X5045,X5046] :
      ( ~ class_Orderings_Oord(X5046)
      | class_Orderings_Oord(tc_fun(X5045,X5046)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Oord])]) ).

fof(i_0_2575,plain,
    ! [X5039,X5040] :
      ( ~ class_Lattices_Oboolean__algebra(X5040)
      | class_Lattices_Oboolean__algebra(tc_fun(X5039,X5040)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Lattices_Oboolean__algebra])]) ).

fof(i_0_2576,plain,
    ! [X5043,X5044] :
      ( ~ class_Orderings_Oorder(X5044)
      | class_Orderings_Oorder(tc_fun(X5043,X5044)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Oorder])]) ).

fof(i_0_2577,plain,
    ! [X5041,X5042] :
      ( ~ class_Orderings_Opreorder(X5042)
      | class_Orderings_Opreorder(tc_fun(X5041,X5042)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Opreorder])]) ).

fof(i_0_2578,plain,
    ! [X2745] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2745)) = X2745,
    inference(variable_rename,[status(thm)],[fact_zminus__zminus]) ).

fof(i_0_2579,plain,
    ! [X2809,X2810] :
      ( ( c_Groups_Ouminus__class_Ouminus(X2810,X2809) != X2809
        | X2809 = c_Groups_Ozero__class_Ozero(X2810)
        | ~ class_Groups_Olinordered__ab__group__add(X2810) )
      & ( X2809 != c_Groups_Ozero__class_Ozero(X2810)
        | c_Groups_Ouminus__class_Ouminus(X2810,X2809) = X2809
        | ~ class_Groups_Olinordered__ab__group__add(X2810) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__equal__zero])])]) ).

fof(i_0_2580,plain,
    ! [X2805,X2806] :
      ( ( X2805 != c_Groups_Ouminus__class_Ouminus(X2806,X2805)
        | X2805 = c_Groups_Ozero__class_Ozero(X2806)
        | ~ class_Groups_Olinordered__ab__group__add(X2806) )
      & ( X2805 != c_Groups_Ozero__class_Ozero(X2806)
        | X2805 = c_Groups_Ouminus__class_Ouminus(X2806,X2805)
        | ~ class_Groups_Olinordered__ab__group__add(X2806) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equal__neg__zero])])]) ).

fof(i_0_2581,plain,
    ! [X4559,X4560] :
      ( ( ~ c_Int_Oiszero(X4560,X4559)
        | X4559 = c_Groups_Ozero__class_Ozero(X4560)
        | ~ class_Rings_Osemiring__1(X4560) )
      & ( X4559 != c_Groups_Ozero__class_Ozero(X4560)
        | c_Int_Oiszero(X4560,X4559)
        | ~ class_Rings_Osemiring__1(X4560) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_iszero__def])])]) ).

fof(i_0_2582,plain,
    ! [X3445] :
      ( ~ class_Rings_Olinordered__idom(X3445)
      | c_Groups_Oabs__class_Oabs(X3445,c_Groups_Oone__class_Oone(X3445)) = c_Groups_Oone__class_Oone(X3445) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__one])]) ).

fof(i_0_2583,plain,
    ! [X2827] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2827)
      | c_Groups_Oabs__class_Oabs(X2827,c_Groups_Ozero__class_Ozero(X2827)) = c_Groups_Ozero__class_Ozero(X2827) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__zero])]) ).

fof(i_0_2584,plain,
    ! [X2802] :
      ( ~ class_Groups_Ogroup__add(X2802)
      | c_Groups_Ouminus__class_Ouminus(X2802,c_Groups_Ozero__class_Ozero(X2802)) = c_Groups_Ozero__class_Ozero(X2802) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__zero])]) ).

fof(i_0_2585,plain,
    ! [X3438] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3438)
      | c_RealVector_Onorm__class_Onorm(X3438,c_Groups_Oone__class_Oone(X3438)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__one])]) ).

fof(i_0_2586,plain,
    ! [X2704] :
      ( ~ class_RealVector_Oreal__normed__vector(X2704)
      | c_RealVector_Onorm__class_Onorm(X2704,c_Groups_Ozero__class_Ozero(X2704)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__zero])]) ).

fof(i_0_2587,plain,
    ! [X4640] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X4640)) = X4640,
    inference(variable_rename,[status(thm)],[fact_natceiling__real__of__nat]) ).

fof(i_0_2588,plain,
    ! [X3806] :
      ( ( c_RealDef_Oreal(tc_Nat_Onat,X3806) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X3806 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3806 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_RealDef_Oreal(tc_Nat_Onat,X3806) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__zero__iff])]) ).

fof(i_0_2589,plain,
    ! [X4561] :
      ( ~ class_Rings_Osemiring__1(X4561)
      | c_Int_Oiszero(X4561,c_Groups_Ozero__class_Ozero(X4561)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_iszero__0])]) ).

fof(i_0_2590,plain,
    ! [X2616] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2616) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2616),
    inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).

fof(i_0_2591,plain,
    ! [X2703] :
      ( ~ class_Int_Onumber__ring(X2703)
      | c_Int_Onumber__class_Onumber__of(X2703,c_Int_OPls) = c_Groups_Ozero__class_Ozero(X2703) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_number__of__Pls])]) ).

fof(i_0_2592,plain,
    ! [X2738] :
      ( ~ class_Int_Onumber__ring(X2738)
      | c_Groups_Ozero__class_Ozero(X2738) = c_Int_Onumber__class_Onumber__of(X2738,c_Int_OPls) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_semiring__norm_I112_J])]) ).

fof(i_0_2593,plain,
    ! [X3442] :
      ( ~ class_Rings_Ozero__neq__one(X3442)
      | c_Groups_Oone__class_Oone(X3442) != c_Groups_Ozero__class_Ozero(X3442) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__neq__zero])]) ).

fof(i_0_2594,plain,
    ! [X3441] :
      ( ~ class_Rings_Ozero__neq__one(X3441)
      | c_Groups_Ozero__class_Ozero(X3441) != c_Groups_Oone__class_Oone(X3441) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__neq__one])]) ).

fof(i_0_2595,plain,
    ! [X5038] :
      ( ~ class_Groups_Ocancel__comm__monoid__add(X5038)
      | class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X5038)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add])]) ).

fof(i_0_2596,plain,
    ! [X5070] :
      ( ~ class_Rings_Ocomm__semiring__1(X5070)
      | class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X5070)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult])]) ).

fof(i_0_2597,plain,
    ! [X5065] :
      ( ~ class_Rings_Olinordered__idom(X5065)
      | class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X5065)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__comm__semiring])]) ).

fof(i_0_2598,plain,
    ! [X5072] :
      ( ~ class_Rings_Olinordered__idom(X5072)
      | class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X5072)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__semiring])]) ).

fof(i_0_2599,plain,
    ! [X5082] :
      ( ~ class_Rings_Olinordered__idom(X5082)
      | class_Rings_Oordered__ring(tc_Polynomial_Opoly(X5082)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__ring])]) ).

fof(i_0_2600,plain,
    ! [X5062] :
      ( ~ class_Rings_Olinordered__idom(X5062)
      | class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X5062)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring])]) ).

fof(i_0_2601,plain,
    ! [X5054] :
      ( ~ class_Rings_Olinordered__idom(X5054)
      | class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X5054)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict])]) ).

fof(i_0_2602,plain,
    ! [X5055] :
      ( ~ class_Rings_Olinordered__idom(X5055)
      | class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X5055)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict])]) ).

fof(i_0_2603,plain,
    ! [X5075] :
      ( ~ class_Rings_Olinordered__idom(X5075)
      | class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X5075)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__ring])]) ).

fof(i_0_2604,plain,
    ! [X5064] :
      ( ~ class_Rings_Oidom(X5064)
      | class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X5064)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors])]) ).

fof(i_0_2605,plain,
    ! [X5069] :
      ( ~ class_Rings_Ocomm__semiring__0(X5069)
      | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X5069)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__semigroup__mult])]) ).

fof(i_0_2606,plain,
    ! [X5104] :
      ( ~ class_Rings_Ocomm__ring(X5104)
      | class_Rings_Oring(tc_Polynomial_Opoly(X5104)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring])]) ).

fof(i_0_2607,plain,
    ! [X5063] :
      ( ~ class_Rings_Olinordered__idom(X5063)
      | class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X5063)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__ring__strict])]) ).

fof(i_0_2608,plain,
    ! [X5096] :
      ( ~ class_Rings_Ocomm__semiring__0(X5096)
      | class_Rings_Osemiring(tc_Polynomial_Opoly(X5096)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Osemiring])]) ).

fof(i_0_2609,plain,
    ! [X5079] :
      ( ~ class_Rings_Ocomm__semiring__0(X5079)
      | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X5079)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring])]) ).

fof(i_0_2610,plain,
    ! [X5086] :
      ( ~ class_Rings_Ocomm__ring__1(X5086)
      | class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X5086)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__ring__1])]) ).

fof(i_0_2611,plain,
    ! [X5051] :
      ( ~ class_Rings_Oidom(X5051)
      | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X5051)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct])]) ).

fof(i_0_2612,plain,
    ! [X5089] :
      ( ~ class_Rings_Ocomm__semiring__0(X5089)
      | class_Rings_Osemiring__0(tc_Polynomial_Opoly(X5089)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Osemiring__0])]) ).

fof(i_0_2613,plain,
    ! [X5073] :
      ( ~ class_Rings_Oidom(X5073)
      | class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X5073)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ono__zero__divisors])]) ).

fof(i_0_2614,plain,
    ! [X5091] :
      ( ~ class_Rings_Ocomm__semiring__0(X5091)
      | class_Rings_Omult__zero(tc_Polynomial_Opoly(X5091)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Omult__zero])]) ).

fof(i_0_2615,plain,
    ! [X5102] :
      ( ~ class_Rings_Ocomm__semiring__1(X5102)
      | class_Power_Opower(tc_Polynomial_Opoly(X5102)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Power_Opower])]) ).

fof(i_0_2616,plain,
    ! [X5085] :
      ( ~ class_Rings_Ocomm__semiring__1(X5085)
      | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X5085)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Omonoid__mult])]) ).

fof(i_0_2617,plain,
    ! [X5100] :
      ( ~ class_Rings_Ocomm__ring__1(X5100)
      | class_Rings_Oring__1(tc_Polynomial_Opoly(X5100)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__1])]) ).

fof(i_0_2618,plain,
    ! [X5061] :
      ( ~ class_Rings_Oidom(X5061)
      | class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X5061)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors])]) ).

fof(i_0_2619,plain,
    ! [X5088] :
      ( ~ class_Rings_Ocomm__semiring__1(X5088)
      | class_Rings_Osemiring__1(tc_Polynomial_Opoly(X5088)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Osemiring__1])]) ).

fof(i_0_2620,plain,
    ! [X5058] :
      ( ~ class_Rings_Olinordered__idom(X5058)
      | class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X5058)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add])]) ).

fof(i_0_2621,plain,
    ! [X5087] :
      ( ~ class_Groups_Ocomm__monoid__add(X5087)
      | class_Groups_Omonoid__add(tc_Polynomial_Opoly(X5087)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Omonoid__add])]) ).

fof(i_0_2622,plain,
    ! [X5074] :
      ( ~ class_Groups_Ocomm__monoid__add(X5074)
      | class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X5074)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocomm__monoid__add])]) ).

fof(i_0_2623,plain,
    ! [X5056] :
      ( ~ class_Rings_Olinordered__idom(X5056)
      | class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X5056)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add])]) ).

fof(i_0_2624,plain,
    ! [X5052] :
      ( ~ class_Rings_Olinordered__idom(X5052)
      | class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X5052)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add])]) ).

fof(i_0_2625,plain,
    ! [X5053] :
      ( ~ class_Rings_Olinordered__idom(X5053)
      | class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X5053)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le])]) ).

fof(i_0_2626,plain,
    ! [X5060] :
      ( ~ class_Groups_Ocancel__comm__monoid__add(X5060)
      | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X5060)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add])]) ).

fof(i_0_2627,plain,
    ! [X5067] :
      ( ~ class_Groups_Ocancel__comm__monoid__add(X5067)
      | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X5067)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add])]) ).

fof(i_0_2628,plain,
    ! [X5071] :
      ( ~ class_Groups_Ocomm__monoid__add(X5071)
      | class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X5071)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__semigroup__add])]) ).

fof(i_0_2629,plain,
    ! [X5068] :
      ( ~ class_Rings_Olinordered__idom(X5068)
      | class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X5068)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semidom])]) ).

fof(i_0_2630,plain,
    ! [X5081] :
      ( ~ class_Rings_Ocomm__semiring__1(X5081)
      | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X5081)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ozero__neq__one])]) ).

fof(i_0_2631,plain,
    ! [X5077] :
      ( ~ class_Rings_Ocomm__semiring__1(X5077)
      | class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X5077)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])]) ).

fof(i_0_2632,plain,
    ! [X5107] :
      ( ~ class_Rings_Ocomm__semiring__1(X5107)
      | class_Groups_Oone(tc_Polynomial_Opoly(X5107)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oone])]) ).

fof(i_0_2633,plain,
    ! [X5098] :
      ( ~ class_Groups_Oab__group__add(X5098)
      | class_Groups_Ouminus(tc_Polynomial_Opoly(X5098)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ouminus])]) ).

fof(i_0_2634,plain,
    ! [X5101] :
      ( ~ class_Groups_Oab__group__add(X5101)
      | class_Groups_Ominus(tc_Polynomial_Opoly(X5101)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ominus])]) ).

fof(i_0_2635,plain,
    ! [X5097] :
      ( ~ class_Rings_Olinordered__idom(X5097)
      | class_Orderings_Oord(tc_Polynomial_Opoly(X5097)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Oord])]) ).

fof(i_0_2636,plain,
    ! [X5093] :
      ( ~ class_Rings_Olinordered__idom(X5093)
      | class_Orderings_Oorder(tc_Polynomial_Opoly(X5093)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Oorder])]) ).

fof(i_0_2637,plain,
    ! [X5083] :
      ( ~ class_Rings_Olinordered__idom(X5083)
      | class_Orderings_Opreorder(tc_Polynomial_Opoly(X5083)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Opreorder])]) ).

fof(i_0_2638,plain,
    ! [X5105] :
      ( ~ class_Rings_Oidom(X5105)
      | class_Rings_Oidom(tc_Polynomial_Opoly(X5105)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oidom])]) ).

fof(i_0_2639,plain,
    ! [X5084] :
      ( ~ class_Rings_Olinordered__idom(X5084)
      | class_Orderings_Olinorder(tc_Polynomial_Opoly(X5084)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Olinorder])]) ).

fof(i_0_2640,plain,
    ! [X5078] :
      ( ~ class_Rings_Ocomm__semiring__0(X5078)
      | class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X5078)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__0])]) ).

fof(i_0_2641,plain,
    ! [X5092] :
      ( ~ class_Rings_Ocomm__ring(X5092)
      | class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X5092)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__ring])]) ).

fof(i_0_2642,plain,
    ! [X5066] :
      ( ~ class_Rings_Olinordered__idom(X5066)
      | class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X5066)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__group__add])]) ).

fof(i_0_2643,plain,
    ! [X5080] :
      ( ~ class_Groups_Oab__group__add(X5080)
      | class_Groups_Oab__group__add(tc_Polynomial_Opoly(X5080)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__group__add])]) ).

fof(i_0_2644,plain,
    ! [X5103] :
      ( ~ class_Groups_Ozero(X5103)
      | class_Groups_Ozero(tc_Polynomial_Opoly(X5103)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ozero])]) ).

fof(i_0_2645,plain,
    ! [X5059] :
      ( ~ class_Rings_Olinordered__idom(X5059)
      | class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X5059)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add])]) ).

fof(i_0_2646,plain,
    ! [X5090] :
      ( ~ class_Groups_Oab__group__add(X5090)
      | class_Groups_Ogroup__add(tc_Polynomial_Opoly(X5090)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ogroup__add])]) ).

fof(i_0_2647,plain,
    ! [X5099] :
      ( ~ class_Rings_Olinordered__idom(X5099)
      | class_Groups_Oabs__if(tc_Polynomial_Opoly(X5099)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oabs__if])]) ).

fof(i_0_2648,plain,
    ! [X5057] :
      ( ~ class_Rings_Olinordered__idom(X5057)
      | class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X5057)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs])]) ).

fof(i_0_2649,plain,
    ! [X5106] :
      ( ~ class_Rings_Ocomm__ring__1(X5106)
      | class_Int_Onumber(tc_Polynomial_Opoly(X5106)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Int_Onumber])]) ).

fof(i_0_2650,plain,
    ! [X5094] :
      ( ~ class_Rings_Olinordered__idom(X5094)
      | class_Int_Oring__char__0(tc_Polynomial_Opoly(X5094)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Int_Oring__char__0])]) ).

fof(i_0_2651,plain,
    ! [X5076] :
      ( ~ class_Rings_Olinordered__idom(X5076)
      | class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X5076)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__idom])]) ).

fof(i_0_2652,plain,
    ! [X5095] :
      ( ~ class_Rings_Ocomm__ring__1(X5095)
      | class_Int_Onumber__ring(tc_Polynomial_Opoly(X5095)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Int_Onumber__ring])]) ).

fof(i_0_2653,plain,
    ! [X3544,X3545] :
      ( ( c_NthRoot_Osqrt(X3545) != c_NthRoot_Osqrt(X3544)
        | X3545 = X3544 )
      & ( X3545 != X3544
        | c_NthRoot_Osqrt(X3545) = c_NthRoot_Osqrt(X3544) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__eq__iff])]) ).

fof(i_0_2654,plain,
    ! [X3486] :
      ( ( c_NthRoot_Osqrt(X3486) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        | X3486 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) )
      & ( X3486 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        | c_NthRoot_Osqrt(X3486) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__eq__1__iff])]) ).

fof(i_0_2655,plain,
    ! [X3508] :
      ( ( c_NthRoot_Osqrt(X3508) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X3508 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X3508 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_NthRoot_Osqrt(X3508) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sqrt__eq__0__iff])]) ).

fof(i_0_2656,plain,
    ! [X2743] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2743) = X2743,
    inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).

fof(i_0_2657,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).

cnf(i_0_2658,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1543,c_0_1544]),c_0_1544]),c_0_1544]),c_0_1544]),c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2659,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1546,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2660,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1547,c_0_1544]),c_0_1544]),c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2661,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1548,c_0_1544]),c_0_1544]),c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2662,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1549,c_0_1544]),c_0_1544]),c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2663,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1550,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2664,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1551,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2665,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1552,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2666,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1553,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2667,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1554,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2668,plain,
    ( X3 != c_Groups_Ozero__class_Ozero(X1)
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1555,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2669,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1556,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2670,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1557,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2671,plain,
    ( ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1558,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2672,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))) != X2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1559,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2673,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))) != X1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1560,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2674,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(X2))
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1561,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2675,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1562,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2676,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1563,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2677,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1564,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2678,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1565,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2679,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1566,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2680,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1567,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2681,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1568,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2682,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1569,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2683,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1570,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2684,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1571,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2685,hypothesis,
    ( v_thesis____
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(X1)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1572,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2686,plain,
    ( c_Groups_Oplus__class_Oplus(X2,c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1573,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2687,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1574,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2688,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1575,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2689,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1576,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2690,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,v_z____)),esk2_0)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,v_z____))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1577,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2691,plain,
    ( X2 = X3
    | c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) != c_Power_Opower__class_Opower(X1,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1578,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2692,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ class_Int_Onumber__ring(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1579,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2693,plain,
    ( X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1580,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2694,plain,
    ( ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1581,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2695,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1582,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2696,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X2) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1583,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2697,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1584,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2698,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1585,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2699,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1586,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2700,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1587,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2701,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X3)) = c_Groups_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1588,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2702,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1589,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2703,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ class_Int_Onumber__ring(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1590,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2704,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ class_Int_Onumber__ring(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1591,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2705,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1592,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2706,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1593,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2707,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1594,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2708,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1595,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2709,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1596,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2710,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1597,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2711,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1598,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2712,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))
    | ~ class_Rings_Oring__1(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1599,c_0_1544]),c_0_1544]),c_0_1545]),c_0_1545]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2713,plain,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1600,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2714,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1601,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2715,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1602,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2716,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1603,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2717,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1604,c_0_1605]),c_0_1605]),c_0_1605]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2718,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Int_Onumber__ring(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rw,[status(thm)],[i_0_1606,c_0_1545]),
    [final] ).

cnf(i_0_2719,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1607,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2720,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | X1 = c_Groups_Oone__class_Oone(tc_Int_Oint)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1608,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2721,plain,
    ( c_NthRoot_Osqrt(X2) = X1
    | c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) != X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1609,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2722,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) != X1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1610,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2723,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1611,c_0_1544]),c_0_1605]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2724,plain,
    ( X2 = c_Groups_Oone__class_Oone(X1)
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))
    | c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1612,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2725,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1613,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2726,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X1),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk9_4(X3,X2,X4,X1)),hAPP(X3,esk9_4(X3,X2,X4,X1)))
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1614]),
    [final] ).

cnf(i_0_2727,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X1,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X1,X3),hAPP(X1,X2)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X2)),X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X1,X3),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X1,X3),hAPP(X1,X2)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X2)),X3)),
    inference(split_conjunct,[status(thm)],[i_0_1615]),
    [final] ).

cnf(i_0_2728,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1616,c_0_1544]),c_0_1605]),c_0_1605]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2729,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1617,c_0_1544]),c_0_1605]),c_0_1605]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2730,plain,
    ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1618,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2731,plain,
    ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1619,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2732,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | c_Int_Onumber__class_Onumber__of(X1,X2) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1620,c_0_1545]),
    [final] ).

cnf(i_0_2733,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4))))),
    inference(split_conjunct,[status(thm)],[i_0_1621]),
    [final] ).

cnf(i_0_2734,plain,
    ( c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Oone__class_Oone(X2)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1622,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2735,plain,
    ( c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Oone__class_Oone(X2)
    | X1 != c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1623,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2736,plain,
    ( c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1624,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2737,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Osemiring__1(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1625,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2738,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Osemiring__1(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1626,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2739,plain,
    c_Power_Opower__class_Opower(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1627,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2740,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1628,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2741,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1629,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2742,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1630,c_0_1605]),c_0_1605]),c_0_1605]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2743,plain,
    ( c_Groups_Oone__class_Oone(X1) = c_Int_Onumber__class_Onumber__of(X1,X2)
    | ~ class_Int_Onumber__ring(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)))) ),
    inference(rw,[status(thm)],[i_0_1631,c_0_1545]),
    [final] ).

cnf(i_0_2744,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X4,X5)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4),c_Groups_Ominus__class_Ominus(X1,X3,X5)),c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4),X5)),c_Groups_Otimes__class_Otimes(X1,X4,c_Groups_Ominus__class_Ominus(X1,X3,X5)))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1632]),
    [final] ).

cnf(i_0_2745,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4)),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X3,X5))))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1633]),
    [final] ).

cnf(i_0_2746,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4)),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X3,X5))))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1634]),
    [final] ).

cnf(i_0_2747,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3),X1),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3),X2))),X4)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2)))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2)),esk6_3(X3,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1635]),
    [final] ).

cnf(i_0_2748,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1636,c_0_1605]),c_0_1545]),
    [final] ).

cnf(i_0_2749,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))))
    | c_Groups_Oone__class_Oone(X1) != c_Int_Onumber__class_Onumber__of(X1,X2)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1637,c_0_1545]),
    [final] ).

cnf(i_0_2750,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(esk35_0,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(rw,[status(thm)],[i_0_1638,c_0_1605]),
    [final] ).

cnf(i_0_2751,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk36_1(X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(rw,[status(thm)],[i_0_1639,c_0_1605]),
    [final] ).

cnf(i_0_2752,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk34_1(X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(rw,[status(thm)],[i_0_1640,c_0_1605]),
    [final] ).

cnf(i_0_2753,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(rw,[status(thm)],[i_0_1641,c_0_1605]),
    [final] ).

cnf(i_0_2754,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1642,c_0_1544]),c_0_1605]),c_0_1605]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2755,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1643,c_0_1544]),c_0_1605]),c_0_1605]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2756,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1644,c_0_1545]),
    [final] ).

cnf(i_0_2757,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,X4)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk28_2(X3,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,esk27_3(X3,X2,X1))),X1) ),
    inference(rw,[status(thm)],[i_0_1645,c_0_1605]),
    [final] ).

cnf(i_0_2758,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,X4)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk24_2(X3,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,esk23_3(X3,X2,X1))),X1) ),
    inference(rw,[status(thm)],[i_0_1646,c_0_1605]),
    [final] ).

cnf(i_0_2759,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1647,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2760,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1648,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2761,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),esk30_2(X2,X1))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk29_3(X2,X1,X4))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1649,c_0_1605]),
    [final] ).

cnf(i_0_2762,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),esk26_2(X2,X1))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk25_3(X2,X1,X4))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1650,c_0_1605]),
    [final] ).

cnf(i_0_2763,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)))),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1651]),
    [final] ).

cnf(i_0_2764,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk30_2(X1,X2))
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk29_3(X1,X2,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1652,c_0_1605]),
    [final] ).

cnf(i_0_2765,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk26_2(X1,X2))
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk25_3(X1,X2,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1653,c_0_1605]),
    [final] ).

cnf(i_0_2766,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Power_Opower__class_Opower(X1,X4,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1654,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2767,plain,
    ( X2 = X3
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,X3)
    | c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Power_Opower__class_Opower(X1,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ class_Rings_Oidom(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1655,c_0_1605]),c_0_1605]),c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2768,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1656,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2769,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1657,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2770,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1658,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2771,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1659,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2772,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))) ),
    inference(rw,[status(thm)],[i_0_1660,c_0_1545]),
    [final] ).

cnf(i_0_2773,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) ),
    inference(rw,[status(thm)],[i_0_1661,c_0_1545]),
    [final] ).

cnf(i_0_2774,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X4,X5)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ominus__class_Ominus(X1,X3,X5)),c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4),X5))
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1662]),
    [final] ).

cnf(i_0_2775,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1663,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2776,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),
    inference(split_conjunct,[status(thm)],[fact_e]),
    [final] ).

cnf(i_0_2777,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1664,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2778,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1665,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2779,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1666,c_0_1544]),c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2780,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk14_1(X1))))),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1651]),
    [final] ).

cnf(i_0_2781,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X6)
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5) != X6
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1667]),
    [final] ).

cnf(i_0_2782,plain,
    ( c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X4,X5),X1) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X5),X6)
    | X1 != c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,c_Groups_Ominus__class_Ominus(X2,X3,X4),X5),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1668]),
    [final] ).

cnf(i_0_2783,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X5),X3),X4) = X6
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X4) != c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X5,X3),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1667]),
    [final] ).

cnf(i_0_2784,plain,
    ( X4 = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X5,X2),X3),X6)
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X4) != c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X5,X3),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1668]),
    [final] ).

cnf(i_0_2785,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1669,c_0_1545]),
    [final] ).

cnf(i_0_2786,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),X5)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),X3),X5)
    | ~ class_Rings_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1670]),
    [final] ).

cnf(i_0_2787,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1)) ),
    inference(rw,[status(thm)],[i_0_1671,c_0_1545]),
    [final] ).

cnf(i_0_2788,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1672,c_0_1545]),
    [final] ).

cnf(i_0_2789,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X2))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1673,c_0_1545]),
    [final] ).

cnf(i_0_2790,plain,
    ( c_Power_Opower__class_Opower(X2,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Power_Opower__class_Opower(X2,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Rings_Oidom(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1674,c_0_1605]),c_0_1605]),c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2791,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X4,X2)),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Oplus__class_Oplus(X1,X2,X3))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1675]),
    [final] ).

cnf(i_0_2792,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1676,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2793,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1677,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2794,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1678,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2795,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1679,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2796,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1680,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2797,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1681,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2798,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1682,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2799,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1683,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2800,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1684,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2801,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1685,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2802,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1686,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2803,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1687,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2804,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3))),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1688]),
    [final] ).

cnf(i_0_2805,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3))),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1689]),
    [final] ).

cnf(i_0_2806,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1))),X3)
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1690]),
    [final] ).

cnf(i_0_2807,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1))))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1691]),
    [final] ).

cnf(i_0_2808,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = X2
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Fields_Ofield(X1) ),
    inference(rw,[status(thm)],[i_0_1692,c_0_1545]),
    [final] ).

cnf(i_0_2809,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = X2
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Fields_Ofield(X1) ),
    inference(rw,[status(thm)],[i_0_1693,c_0_1545]),
    [final] ).

cnf(i_0_2810,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1694,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2811,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1695,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2812,plain,
    ( X2 = X4
    | c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Power_Opower__class_Opower(X1,X4,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1696,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2813,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1697]),
    [final] ).

cnf(i_0_2814,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))),
    inference(split_conjunct,[status(thm)],[i_0_1698]),
    [final] ).

cnf(i_0_2815,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1699,c_0_1605]),c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2816,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ),
    inference(rw,[status(thm)],[i_0_1700,c_0_1545]),
    [final] ).

cnf(i_0_2817,plain,
    ( c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ),
    inference(rw,[status(thm)],[i_0_1701,c_0_1545]),
    [final] ).

cnf(i_0_2818,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1) ),
    inference(rw,[status(thm)],[i_0_1702,c_0_1545]),
    [final] ).

cnf(i_0_2819,plain,
    ( c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1) ),
    inference(rw,[status(thm)],[i_0_1703,c_0_1545]),
    [final] ).

cnf(i_0_2820,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(X1,esk41_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1704]),
    [final] ).

cnf(i_0_2821,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(X1,esk40_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1705]),
    [final] ).

cnf(i_0_2822,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
    | hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(X1,esk41_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1704]),
    [final] ).

cnf(i_0_2823,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
    | hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(X1,esk40_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1705]),
    [final] ).

cnf(i_0_2824,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(v_f____,X2)),v_z____)),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk5_1(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1706]),
    [final] ).

cnf(i_0_2825,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(split_conjunct,[status(thm)],[i_0_1707]),
    [final] ).

cnf(i_0_2826,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(rw,[status(thm)],[i_0_1708,c_0_1545]),
    [final] ).

cnf(i_0_2827,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X5))
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X4),X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1709]),
    [final] ).

cnf(i_0_2828,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X5))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X4),X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1710]),
    [final] ).

cnf(i_0_2829,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X4,X5)) = c_Groups_Otimes__class_Otimes(X1,X4,c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X5))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1711]),
    [final] ).

cnf(i_0_2830,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X4,X5)) = c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Otimes__class_Otimes(X1,X3,c_Groups_Otimes__class_Otimes(X1,X4,X5)))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1712]),
    [final] ).

cnf(i_0_2831,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1713,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2832,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1)) ),
    inference(rw,[status(thm)],[i_0_1714,c_0_1545]),
    [final] ).

cnf(i_0_2833,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1)) ),
    inference(rw,[status(thm)],[i_0_1715,c_0_1545]),
    [final] ).

cnf(i_0_2834,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Int_OPls) ),
    inference(rw,[status(thm)],[i_0_1716,c_0_1545]),
    [final] ).

cnf(i_0_2835,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Int_OPls) ),
    inference(rw,[status(thm)],[i_0_1717,c_0_1545]),
    [final] ).

cnf(i_0_2836,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1718]),
    [final] ).

cnf(i_0_2837,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1719]),
    [final] ).

cnf(i_0_2838,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X5),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1720]),
    [final] ).

cnf(i_0_2839,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X5),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1721]),
    [final] ).

cnf(i_0_2840,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X5),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1722]),
    [final] ).

cnf(i_0_2841,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X4)),c_Groups_Otimes__class_Otimes(X1,X3,X5))
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X4),X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1723]),
    [final] ).

cnf(i_0_2842,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X4,X2)),X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1675]),
    [final] ).

cnf(i_0_2843,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1675]),
    [final] ).

cnf(i_0_2844,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1724]),
    [final] ).

cnf(i_0_2845,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1725]),
    [final] ).

cnf(i_0_2846,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Ominus__class_Ominus(X1,X3,c_Int_Onumber__class_Onumber__of(X1,X4))) = c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4))),X3)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1726]),
    [final] ).

cnf(i_0_2847,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1727,c_0_1545]),
    [final] ).

cnf(i_0_2848,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(X1))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(rw,[status(thm)],[i_0_1728,c_0_1605]),
    [final] ).

cnf(i_0_2849,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oone__class_Oone(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(rw,[status(thm)],[i_0_1729,c_0_1605]),
    [final] ).

cnf(i_0_2850,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1730]),
    [final] ).

cnf(i_0_2851,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1731]),
    [final] ).

cnf(i_0_2852,plain,
    ( c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1732]),
    [final] ).

cnf(i_0_2853,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1733]),
    [final] ).

cnf(i_0_2854,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X2,X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1734]),
    [final] ).

cnf(i_0_2855,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X2,X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1735]),
    [final] ).

cnf(i_0_2856,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1736]),
    [final] ).

cnf(i_0_2857,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X1,X4)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X4)),c_Groups_Otimes__class_Otimes(X1,X3,c_Int_Onumber__class_Onumber__of(X1,X4)))
    | ~ class_Int_Onumber(X1)
    | ~ class_Rings_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1737]),
    [final] ).

cnf(i_0_2858,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X1,X4)) = c_Groups_Ominus__class_Ominus(X1,c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,X4)),c_Groups_Otimes__class_Otimes(X1,X3,c_Int_Onumber__class_Onumber__of(X1,X4)))
    | ~ class_Int_Onumber(X1)
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1738]),
    [final] ).

cnf(i_0_2859,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oplus__class_Oplus(X1,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),X3),c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),X4))
    | ~ class_Int_Onumber(X1)
    | ~ class_Rings_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1739]),
    [final] ).

cnf(i_0_2860,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Ominus__class_Ominus(X1,X3,X4)) = c_Groups_Ominus__class_Ominus(X1,c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),X3),c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),X4))
    | ~ class_Int_Onumber(X1)
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1740]),
    [final] ).

cnf(i_0_2861,plain,
    ( c_SEQ_Osubseq(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,esk33_1(X1)),hAPP(X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk33_1(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1741,c_0_1605]),
    [final] ).

cnf(i_0_2862,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,X2) = c_Int_Onumber__class_Onumber__of(X1,X3)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X3))))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1742]),
    [final] ).

cnf(i_0_2863,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
    inference(split_conjunct,[status(thm)],[i_0_1743]),
    [final] ).

cnf(i_0_2864,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1744,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2865,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1745,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2866,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1746,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2867,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1747,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2868,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1748,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2869,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1749,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2870,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1750,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2871,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1751,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_2872,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1752]),
    [final] ).

cnf(i_0_2873,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1753]),
    [final] ).

cnf(i_0_2874,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X1,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Oone__class_Oone(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1754]),
    [final] ).

cnf(i_0_2875,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X1,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Oone__class_Oone(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1755]),
    [final] ).

cnf(i_0_2876,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1756]),
    [final] ).

cnf(i_0_2877,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1757]),
    [final] ).

cnf(i_0_2878,plain,
    ( c_Groups_Ozero__class_Ozero(X1) = c_Int_Onumber__class_Onumber__of(X1,X2)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1758]),
    [final] ).

cnf(i_0_2879,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,X4),c_Power_Opower__class_Opower(X1,X3,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1759]),
    [final] ).

cnf(i_0_2880,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1757]),
    [final] ).

cnf(i_0_2881,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1756]),
    [final] ).

cnf(i_0_2882,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1756]),
    [final] ).

cnf(i_0_2883,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1757]),
    [final] ).

cnf(i_0_2884,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X4,X5)) = c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X5))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1760]),
    [final] ).

cnf(i_0_2885,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Rings_Oinverse__class_Odivide(X1,X4,X5)) = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X5))
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1761]),
    [final] ).

cnf(i_0_2886,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1762]),
    [final] ).

cnf(i_0_2887,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4),c_Groups_Ominus__class_Ominus(X1,X3,X5))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1763]),
    [final] ).

cnf(i_0_2888,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls))))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1764]),
    [final] ).

cnf(i_0_2889,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1765,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2890,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1757]),
    [final] ).

cnf(i_0_2891,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1756]),
    [final] ).

cnf(i_0_2892,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X3),X4)) = c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X2,X3)),X4)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1766]),
    [final] ).

cnf(i_0_2893,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,X3),X4)) = c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3)),X4)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1767]),
    [final] ).

cnf(i_0_2894,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Ominus__class_Ominus(X1,c_Int_Onumber__class_Onumber__of(X1,X3),X4)) = c_Groups_Ominus__class_Ominus(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3)),X4)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1768]),
    [final] ).

cnf(i_0_2895,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk16_0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
    inference(split_conjunct,[status(thm)],[i_0_1769]),
    [final] ).

cnf(i_0_2896,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Power_Opower__class_Opower(X1,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X3)) = c_Rings_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X1,X2,X4),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Fields_Ofield(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1770]),
    [final] ).

cnf(i_0_2897,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1771,c_0_1544]),c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_2898,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1772,c_0_1544]),c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_2899,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X2)
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)) ),
    inference(rw,[status(thm)],[i_0_1773,c_0_1545]),
    [final] ).

cnf(i_0_2900,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X2)
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)) ),
    inference(rw,[status(thm)],[i_0_1774,c_0_1545]),
    [final] ).

cnf(i_0_2901,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oone__class_Oone(X1)) ),
    inference(rw,[status(thm)],[i_0_1775,c_0_1545]),
    [final] ).

cnf(i_0_2902,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Oone__class_Oone(X1)) ),
    inference(rw,[status(thm)],[i_0_1776,c_0_1545]),
    [final] ).

cnf(i_0_2903,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1777]),
    [final] ).

cnf(i_0_2904,plain,
    ( X1 = X2
    | c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1778,c_0_1545]),c_0_1545]),
    [final] ).

cnf(i_0_2905,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1724]),
    [final] ).

cnf(i_0_2906,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1725]),
    [final] ).

cnf(i_0_2907,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1779]),
    [final] ).

cnf(i_0_2908,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X3,X2)))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1780]),
    [final] ).

cnf(i_0_2909,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3)))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1781]),
    [final] ).

cnf(i_0_2910,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3)))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1782]),
    [final] ).

cnf(i_0_2911,plain,
    ( c_RComplete_Onatceiling(X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(split_conjunct,[status(thm)],[i_0_1783]),
    [final] ).

cnf(i_0_2912,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1784]),
    [final] ).

cnf(i_0_2913,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1785]),
    [final] ).

cnf(i_0_2914,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1786]),
    [final] ).

cnf(i_0_2915,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1787]),
    [final] ).

cnf(i_0_2916,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1788]),
    [final] ).

cnf(i_0_2917,plain,
    ( hAPP(c_Polynomial_Opoly(X1,c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1),X2,X3)),X4) = c_Groups_Otimes__class_Otimes(X1,hAPP(c_Polynomial_Opoly(X1,X2),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1789]),
    [final] ).

cnf(i_0_2918,plain,
    ( hAPP(c_Polynomial_Opoly(X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,X3)),X4) = c_Groups_Oplus__class_Oplus(X1,hAPP(c_Polynomial_Opoly(X1,X2),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1790]),
    [final] ).

cnf(i_0_2919,plain,
    ( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X2,X3)),X4) = c_Groups_Ominus__class_Ominus(X1,hAPP(c_Polynomial_Opoly(X1,X2),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4))
    | ~ class_Rings_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1791]),
    [final] ).

cnf(i_0_2920,plain,
    ( hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1704]),
    [final] ).

cnf(i_0_2921,plain,
    ( hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1705]),
    [final] ).

cnf(i_0_2922,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2) ),
    inference(rw,[status(thm)],[i_0_1792,c_0_1605]),
    [final] ).

cnf(i_0_2923,plain,
    ( hBOOL(hAPP(X4,X3))
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(X4,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1704]),
    [final] ).

cnf(i_0_2924,plain,
    ( hBOOL(hAPP(X4,X3))
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(X4,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1705]),
    [final] ).

cnf(i_0_2925,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1793]),
    [final] ).

cnf(i_0_2926,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1793]),
    [final] ).

cnf(i_0_2927,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1794]),
    [final] ).

cnf(i_0_2928,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1795]),
    [final] ).

cnf(i_0_2929,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1796]),
    [final] ).

cnf(i_0_2930,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1797]),
    [final] ).

cnf(i_0_2931,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1798]),
    [final] ).

cnf(i_0_2932,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1799]),
    [final] ).

cnf(i_0_2933,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1800]),
    [final] ).

cnf(i_0_2934,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1801]),
    [final] ).

cnf(i_0_2935,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1802,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2936,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1803,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2937,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1804,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2938,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1805,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_2939,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1806]),
    [final] ).

cnf(i_0_2940,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(split_conjunct,[status(thm)],[i_0_1707]),
    [final] ).

cnf(i_0_2941,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(rw,[status(thm)],[i_0_1807,c_0_1545]),
    [final] ).

cnf(i_0_2942,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(rw,[status(thm)],[i_0_1808,c_0_1605]),
    [final] ).

cnf(i_0_2943,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1809]),
    [final] ).

cnf(i_0_2944,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1810,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_2945,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1811,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_2946,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1812]),
    [final] ).

cnf(i_0_2947,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1813,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_2948,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1814,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_2949,plain,
    ( X2 = X4
    | ~ class_Rings_Olinordered__semidom(X1)
    | c_Power_Opower__class_Opower(X1,X2,X3) != c_Power_Opower__class_Opower(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1815]),
    [final] ).

cnf(i_0_2950,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X4))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1816]),
    [final] ).

cnf(i_0_2951,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X4,X2),c_Groups_Otimes__class_Otimes(X1,X4,X3))
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1817]),
    [final] ).

cnf(i_0_2952,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X4,X2),c_Groups_Otimes__class_Otimes(X1,X4,X3))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1818]),
    [final] ).

cnf(i_0_2953,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,X4),c_Power_Opower__class_Opower(X1,X3,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1819]),
    [final] ).

cnf(i_0_2954,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1820]),
    [final] ).

cnf(i_0_2955,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1756]),
    [final] ).

cnf(i_0_2956,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X4))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1821]),
    [final] ).

cnf(i_0_2957,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1757]),
    [final] ).

cnf(i_0_2958,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X4,X2),c_Groups_Otimes__class_Otimes(X1,X4,X3))
    | ~ class_Rings_Olinordered__comm__semiring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1822]),
    [final] ).

cnf(i_0_2959,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X4,X2),c_Groups_Otimes__class_Otimes(X1,X4,X3))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1823]),
    [final] ).

cnf(i_0_2960,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X4,X2),c_Groups_Otimes__class_Otimes(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1731]),
    [final] ).

cnf(i_0_2961,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1824]),
    [final] ).

cnf(i_0_2962,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1825]),
    [final] ).

cnf(i_0_2963,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1826]),
    [final] ).

cnf(i_0_2964,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X4),c_Rings_Oinverse__class_Odivide(X1,X2,X4))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1827]),
    [final] ).

cnf(i_0_2965,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1756]),
    [final] ).

cnf(i_0_2966,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1828]),
    [final] ).

cnf(i_0_2967,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X4,X2),c_Groups_Otimes__class_Otimes(X1,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1757]),
    [final] ).

cnf(i_0_2968,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1829]),
    [final] ).

cnf(i_0_2969,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1732]),
    [final] ).

cnf(i_0_2970,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X4),c_Rings_Oinverse__class_Odivide(X1,X2,X4))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1830]),
    [final] ).

cnf(i_0_2971,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(rw,[status(thm)],[i_0_1831,c_0_1545]),
    [final] ).

cnf(i_0_2972,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(rw,[status(thm)],[i_0_1832,c_0_1545]),
    [final] ).

cnf(i_0_2973,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(rw,[status(thm)],[i_0_1833,c_0_1545]),
    [final] ).

cnf(i_0_2974,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(rw,[status(thm)],[i_0_1834,c_0_1545]),
    [final] ).

cnf(i_0_2975,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,esk41_3(X2,X1,X3))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1704]),
    [final] ).

cnf(i_0_2976,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,esk40_3(X2,X1,X3))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1705]),
    [final] ).

cnf(i_0_2977,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Power_Opower__class_Opower(X1,X2,X3)),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1835]),
    [final] ).

cnf(i_0_2978,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X4,X2),c_Power_Opower__class_Opower(X1,X4,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1836]),
    [final] ).

cnf(i_0_2979,plain,
    ( c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1733]),
    [final] ).

cnf(i_0_2980,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X4,X2),c_Power_Opower__class_Opower(X1,X4,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1837]),
    [final] ).

cnf(i_0_2981,plain,
    ( c_Orderings_Oord__class_Oless(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1736]),
    [final] ).

cnf(i_0_2982,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,esk41_3(X2,X1,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1704]),
    [final] ).

cnf(i_0_2983,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,esk40_3(X2,X1,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1705]),
    [final] ).

cnf(i_0_2984,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))),
    inference(split_conjunct,[status(thm)],[fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096]),
    [final] ).

cnf(i_0_2985,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1838]),
    [final] ).

cnf(i_0_2986,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1839]),
    [final] ).

cnf(i_0_2987,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1840]),
    [final] ).

cnf(i_0_2988,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1841]),
    [final] ).

cnf(i_0_2989,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1842]),
    [final] ).

cnf(i_0_2990,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))) ),
    inference(rw,[status(thm)],[i_0_1843,c_0_1544]),
    [final] ).

cnf(i_0_2991,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Power_Opower__class_Opower(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4) = c_Rings_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X1,X3,X4),c_Power_Opower__class_Opower(X1,X2,X4))
    | ~ class_Fields_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1844]),
    [final] ).

cnf(i_0_2992,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X1,X1),c_Groups_Otimes__class_Otimes(X2,X3,X3)) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1845]),
    [final] ).

cnf(i_0_2993,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X3),c_Groups_Otimes__class_Otimes(X2,X1,X1)) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1845]),
    [final] ).

cnf(i_0_2994,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X4))
    | ~ class_Rings_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1846]),
    [final] ).

cnf(i_0_2995,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1847]),
    [final] ).

cnf(i_0_2996,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1848]),
    [final] ).

cnf(i_0_2997,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1849]),
    [final] ).

cnf(i_0_2998,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),c_Groups_Otimes__class_Otimes(X1,X3,X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1850]),
    [final] ).

cnf(i_0_2999,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X4) = c_Groups_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X4),c_Power_Opower__class_Opower(X1,X3,X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1851]),
    [final] ).

cnf(i_0_3000,plain,
    ( c_Power_Opower__class_Opower(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),X4) = c_Rings_Oinverse__class_Odivide(X1,c_Power_Opower__class_Opower(X1,X2,X4),c_Power_Opower__class_Opower(X1,X3,X4))
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1852]),
    [final] ).

cnf(i_0_3001,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1853]),
    [final] ).

cnf(i_0_3002,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1854]),
    [final] ).

cnf(i_0_3003,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1855]),
    [final] ).

cnf(i_0_3004,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1856]),
    [final] ).

cnf(i_0_3005,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1857]),
    [final] ).

cnf(i_0_3006,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1858]),
    [final] ).

cnf(i_0_3007,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ominus__class_Ominus(X1,X3,X4)) = c_Groups_Ominus__class_Ominus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1859]),
    [final] ).

cnf(i_0_3008,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ominus__class_Ominus(X1,X3,X4)) = c_Groups_Ominus__class_Ominus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1860]),
    [final] ).

cnf(i_0_3009,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[i_0_1861,c_0_1605]),
    [final] ).

cnf(i_0_3010,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1862]),
    [final] ).

cnf(i_0_3011,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X3),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1753]),
    [final] ).

cnf(i_0_3012,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1863]),
    [final] ).

cnf(i_0_3013,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1864]),
    [final] ).

cnf(i_0_3014,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1865]),
    [final] ).

cnf(i_0_3015,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1866]),
    [final] ).

cnf(i_0_3016,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1867]),
    [final] ).

cnf(i_0_3017,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1868]),
    [final] ).

cnf(i_0_3018,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1869]),
    [final] ).

cnf(i_0_3019,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1870]),
    [final] ).

cnf(i_0_3020,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(split_conjunct,[status(thm)],[i_0_1871]),
    [final] ).

cnf(i_0_3021,plain,
    ( hAPP(c_Polynomial_Opoly(X1,c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1),X2,X3)),X4) = c_Power_Opower__class_Opower(X1,hAPP(c_Polynomial_Opoly(X1,X2),X4),X3)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1872]),
    [final] ).

cnf(i_0_3022,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1873]),
    [final] ).

cnf(i_0_3023,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1873]),
    [final] ).

cnf(i_0_3024,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X3),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X3)),
    inference(split_conjunct,[status(thm)],[i_0_1874]),
    [final] ).

cnf(i_0_3025,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1)) ),
    inference(rw,[status(thm)],[i_0_1875,c_0_1544]),
    [final] ).

cnf(i_0_3026,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X1),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1876,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_3027,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1877,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3028,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1878]),
    [final] ).

cnf(i_0_3029,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1879]),
    [final] ).

cnf(i_0_3030,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1878]),
    [final] ).

cnf(i_0_3031,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1879]),
    [final] ).

cnf(i_0_3032,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1880]),
    [final] ).

cnf(i_0_3033,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1881]),
    [final] ).

cnf(i_0_3034,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1882]),
    [final] ).

cnf(i_0_3035,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1883]),
    [final] ).

cnf(i_0_3036,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1884]),
    [final] ).

cnf(i_0_3037,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,esk17_0)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1885]),
    [final] ).

cnf(i_0_3038,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,v_s____)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1886]),
    [final] ).

cnf(i_0_3039,plain,
    ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1887]),
    [final] ).

cnf(i_0_3040,hypothesis,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X1),v_z____)))
    | v_thesis____
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1300]),
    [final] ).

cnf(i_0_3041,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1888]),
    [final] ).

cnf(i_0_3042,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1889]),
    [final] ).

cnf(i_0_3043,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1890]),
    [final] ).

cnf(i_0_3044,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1888]),
    [final] ).

cnf(i_0_3045,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1888]),
    [final] ).

cnf(i_0_3046,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1889]),
    [final] ).

cnf(i_0_3047,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1889]),
    [final] ).

cnf(i_0_3048,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1890]),
    [final] ).

cnf(i_0_3049,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1890]),
    [final] ).

cnf(i_0_3050,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1891]),
    [final] ).

cnf(i_0_3051,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X3,X2))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1891]),
    [final] ).

cnf(i_0_3052,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1892]),
    [final] ).

cnf(i_0_3053,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1892]),
    [final] ).

cnf(i_0_3054,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1891]),
    [final] ).

cnf(i_0_3055,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X3,X2))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1891]),
    [final] ).

cnf(i_0_3056,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1892]),
    [final] ).

cnf(i_0_3057,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1892]),
    [final] ).

cnf(i_0_3058,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1893]),
    [final] ).

cnf(i_0_3059,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1893]),
    [final] ).

cnf(i_0_3060,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1893]),
    [final] ).

cnf(i_0_3061,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1893]),
    [final] ).

cnf(i_0_3062,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1888]),
    [final] ).

cnf(i_0_3063,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1889]),
    [final] ).

cnf(i_0_3064,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1890]),
    [final] ).

cnf(i_0_3065,hypothesis,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X1),v_z____)),X1)
    | v_thesis____
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1300]),
    [final] ).

cnf(i_0_3066,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X3))))
    | c_Int_Onumber__class_Onumber__of(X1,X2) != c_Int_Onumber__class_Onumber__of(X1,X3)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1742]),
    [final] ).

cnf(i_0_3067,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1894]),
    [final] ).

cnf(i_0_3068,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1895,c_0_1605]),c_0_1545]),
    [final] ).

cnf(i_0_3069,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X2)),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1896,c_0_1544]),
    [final] ).

cnf(i_0_3070,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rw,[status(thm)],[i_0_1897,c_0_1605]),
    [final] ).

cnf(i_0_3071,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rw,[status(thm)],[i_0_1898,c_0_1605]),
    [final] ).

cnf(i_0_3072,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))))
    | c_Groups_Ozero__class_Ozero(X1) != c_Int_Onumber__class_Onumber__of(X1,X2)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1758]),
    [final] ).

cnf(i_0_3073,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk12_0)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
    inference(split_conjunct,[status(thm)],[i_0_1743]),
    [final] ).

cnf(i_0_3074,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1899,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3075,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1900,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3076,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1901]),
    [final] ).

cnf(i_0_3077,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1902]),
    [final] ).

cnf(i_0_3078,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1903]),
    [final] ).

cnf(i_0_3079,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1902]),
    [final] ).

cnf(i_0_3080,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1888]),
    [final] ).

cnf(i_0_3081,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1888]),
    [final] ).

cnf(i_0_3082,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1904]),
    [final] ).

cnf(i_0_3083,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1905]),
    [final] ).

cnf(i_0_3084,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1906]),
    [final] ).

cnf(i_0_3085,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1889]),
    [final] ).

cnf(i_0_3086,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1889]),
    [final] ).

cnf(i_0_3087,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1907]),
    [final] ).

cnf(i_0_3088,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1908]),
    [final] ).

cnf(i_0_3089,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1909]),
    [final] ).

cnf(i_0_3090,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1910]),
    [final] ).

cnf(i_0_3091,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1911]),
    [final] ).

cnf(i_0_3092,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1890]),
    [final] ).

cnf(i_0_3093,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1890]),
    [final] ).

cnf(i_0_3094,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1912]),
    [final] ).

cnf(i_0_3095,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1913]),
    [final] ).

cnf(i_0_3096,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1914]),
    [final] ).

cnf(i_0_3097,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1915]),
    [final] ).

cnf(i_0_3098,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1916]),
    [final] ).

cnf(i_0_3099,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1917]),
    [final] ).

cnf(i_0_3100,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1891]),
    [final] ).

cnf(i_0_3101,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1918]),
    [final] ).

cnf(i_0_3102,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1919]),
    [final] ).

cnf(i_0_3103,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1892]),
    [final] ).

cnf(i_0_3104,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1920]),
    [final] ).

cnf(i_0_3105,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1921]),
    [final] ).

cnf(i_0_3106,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1922]),
    [final] ).

cnf(i_0_3107,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1923]),
    [final] ).

cnf(i_0_3108,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1924]),
    [final] ).

cnf(i_0_3109,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1925]),
    [final] ).

cnf(i_0_3110,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1893]),
    [final] ).

cnf(i_0_3111,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1926]),
    [final] ).

cnf(i_0_3112,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1916]),
    [final] ).

cnf(i_0_3113,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1891]),
    [final] ).

cnf(i_0_3114,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1927]),
    [final] ).

cnf(i_0_3115,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1892]),
    [final] ).

cnf(i_0_3116,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1928]),
    [final] ).

cnf(i_0_3117,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1929]),
    [final] ).

cnf(i_0_3118,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1893]),
    [final] ).

cnf(i_0_3119,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3),X1)),esk22_2(X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1930]),
    [final] ).

cnf(i_0_3120,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1931]),
    [final] ).

cnf(i_0_3121,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1932]),
    [final] ).

cnf(i_0_3122,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1932]),
    [final] ).

cnf(i_0_3123,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls))))
    | c_Int_Onumber__class_Onumber__of(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1764]),
    [final] ).

cnf(i_0_3124,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1933]),
    [final] ).

cnf(i_0_3125,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1794]),
    [final] ).

cnf(i_0_3126,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1934]),
    [final] ).

cnf(i_0_3127,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1796]),
    [final] ).

cnf(i_0_3128,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1935]),
    [final] ).

cnf(i_0_3129,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1798]),
    [final] ).

cnf(i_0_3130,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1936]),
    [final] ).

cnf(i_0_3131,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1800]),
    [final] ).

cnf(i_0_3132,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1937]),
    [final] ).

cnf(i_0_3133,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1938,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3134,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1939,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3135,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1940,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3136,plain,
    ( c_SEQ_Odecseq(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk8_2(X2,X1)),hAPP(X2,esk7_2(X2,X1)))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1941]),
    [final] ).

cnf(i_0_3137,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1942]),
    [final] ).

cnf(i_0_3138,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X4,X2))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1943]),
    [final] ).

cnf(i_0_3139,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1944]),
    [final] ).

cnf(i_0_3140,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1945]),
    [final] ).

cnf(i_0_3141,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1946]),
    [final] ).

cnf(i_0_3142,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X3),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1947]),
    [final] ).

cnf(i_0_3143,plain,
    ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) ),
    inference(rw,[status(thm)],[i_0_1948,c_0_1605]),
    [final] ).

cnf(i_0_3144,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X1,X2,X3)) = c_Power_Opower__class_Opower(X1,c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),X2),X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1949]),
    [final] ).

cnf(i_0_3145,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk13_1(X1))),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1777]),
    [final] ).

cnf(i_0_3146,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r) ),
    inference(split_conjunct,[status(thm)],[i_0_1950]),
    [final] ).

cnf(i_0_3147,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1951]),
    [final] ).

cnf(i_0_3148,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1809]),
    [final] ).

cnf(i_0_3149,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1952]),
    [final] ).

cnf(i_0_3150,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1953]),
    [final] ).

cnf(i_0_3151,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1954,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_3152,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1955,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_3153,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1956]),
    [final] ).

cnf(i_0_3154,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1957]),
    [final] ).

cnf(i_0_3155,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1958]),
    [final] ).

cnf(i_0_3156,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1812]),
    [final] ).

cnf(i_0_3157,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1959,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_3158,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1960,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_3159,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1961]),
    [final] ).

cnf(i_0_3160,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk32_2(X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1962,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3161,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_1963,c_0_1605]),
    [final] ).

cnf(i_0_3162,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) ),
    inference(rw,[status(thm)],[i_0_1964,c_0_1605]),
    [final] ).

cnf(i_0_3163,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_1965,c_0_1605]),
    [final] ).

cnf(i_0_3164,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1966,c_0_1545]),
    [final] ).

cnf(i_0_3165,plain,
    ( c_Groups_Oone__class_Oone(X1) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_1967,c_0_1545]),
    [final] ).

cnf(i_0_3166,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(X1,X2),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_1968,c_0_1605]),
    [final] ).

cnf(i_0_3167,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1969,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_3168,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1970,c_0_1544]),c_0_1545]),
    [final] ).

cnf(i_0_3169,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3))) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1971]),
    [final] ).

cnf(i_0_3170,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1972]),
    [final] ).

cnf(i_0_3171,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1932]),
    [final] ).

cnf(i_0_3172,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1973]),
    [final] ).

cnf(i_0_3173,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_1932]),
    [final] ).

cnf(i_0_3174,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1932]),
    [final] ).

cnf(i_0_3175,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_1932]),
    [final] ).

cnf(i_0_3176,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1974,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3177,plain,
    ( X1 = X3
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1975]),
    [final] ).

cnf(i_0_3178,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4)) = c_Rings_Oinverse__class_Odivide(X1,X3,X4)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1976]),
    [final] ).

cnf(i_0_3179,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2)) = c_Rings_Oinverse__class_Odivide(X1,X3,X4)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1977]),
    [final] ).

cnf(i_0_3180,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1978]),
    [final] ).

cnf(i_0_3181,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_1979]),
    [final] ).

cnf(i_0_3182,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X2)
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(rw,[status(thm)],[i_0_1980,c_0_1605]),
    [final] ).

cnf(i_0_3183,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Otimes__class_Otimes(X1,X2,c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Power_Opower(X1) ),
    inference(rw,[status(thm)],[i_0_1981,c_0_1605]),
    [final] ).

cnf(i_0_3184,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Otimes__class_Otimes(X1,X2,c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(rw,[status(thm)],[i_0_1982,c_0_1605]),
    [final] ).

cnf(i_0_3185,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X2) = c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(rw,[status(thm)],[i_0_1983,c_0_1605]),
    [final] ).

cnf(i_0_3186,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Power_Opower__class_Opower(X1,X2,X3)) = c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(rw,[status(thm)],[i_0_1984,c_0_1605]),
    [final] ).

cnf(i_0_3187,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ c_SEQ_Osubseq(X1) ),
    inference(rw,[status(thm)],[i_0_1985,c_0_1605]),
    [final] ).

cnf(i_0_3188,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1986]),
    [final] ).

cnf(i_0_3189,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1987]),
    [final] ).

cnf(i_0_3190,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1988]),
    [final] ).

cnf(i_0_3191,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1989]),
    [final] ).

cnf(i_0_3192,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1990]),
    [final] ).

cnf(i_0_3193,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_1991,c_0_1605]),
    [final] ).

cnf(i_0_3194,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X4) = c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X3)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1992]),
    [final] ).

cnf(i_0_3195,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),X3)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1993]),
    [final] ).

cnf(i_0_3196,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X4) = c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Otimes__class_Otimes(X1,X3,X4))
    | ~ class_Groups_Oab__semigroup__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1994]),
    [final] ).

cnf(i_0_3197,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X4) = c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Otimes__class_Otimes(X1,X3,X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1995]),
    [final] ).

cnf(i_0_3198,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ class_Groups_Oab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1996]),
    [final] ).

cnf(i_0_3199,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1997]),
    [final] ).

cnf(i_0_3200,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Otimes__class_Otimes(X1,X3,X4)) = c_Groups_Otimes__class_Otimes(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X4)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1998]),
    [final] ).

cnf(i_0_3201,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X3,X4)) = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X4)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1999]),
    [final] ).

cnf(i_0_3202,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2000]),
    [final] ).

cnf(i_0_3203,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Otimes__class_Otimes(X1,X3,X4)) = c_Groups_Otimes__class_Otimes(X1,X3,c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2001]),
    [final] ).

cnf(i_0_3204,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2002]),
    [final] ).

cnf(i_0_3205,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
    inference(rw,[status(thm)],[i_0_2003,c_0_1545]),
    [final] ).

cnf(i_0_3206,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),
    inference(rw,[status(thm)],[i_0_2004,c_0_1545]),
    [final] ).

cnf(i_0_3207,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),
    inference(rw,[status(thm)],[i_0_2005,c_0_1545]),
    [final] ).

cnf(i_0_3208,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1),
    inference(split_conjunct,[status(thm)],[i_0_2006]),
    [final] ).

cnf(i_0_3209,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2007]),
    [final] ).

cnf(i_0_3210,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2008]),
    [final] ).

cnf(i_0_3211,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2009]),
    [final] ).

cnf(i_0_3212,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2010]),
    [final] ).

cnf(i_0_3213,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2)))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1)
    | ~ c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,X2)) ),
    inference(rw,[status(thm)],[i_0_2011,c_0_1544]),
    [final] ).

cnf(i_0_3214,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2012]),
    [final] ).

cnf(i_0_3215,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2013]),
    [final] ).

cnf(i_0_3216,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2014,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3217,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2015,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3218,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),
    inference(rw,[status(thm)],[i_0_2016,c_0_1605]),
    [final] ).

cnf(i_0_3219,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(split_conjunct,[status(thm)],[i_0_2017]),
    [final] ).

cnf(i_0_3220,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2018,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3221,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2019,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3222,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2020]),
    [final] ).

cnf(i_0_3223,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Groups_Ominus__class_Ominus(X1,X4,X5) != c_Groups_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2020]),
    [final] ).

cnf(i_0_3224,plain,
    ( c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2021]),
    [final] ).

cnf(i_0_3225,plain,
    ( c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Groups_Ominus__class_Ominus(X1,X4,X5) != c_Groups_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2021]),
    [final] ).

cnf(i_0_3226,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_2022]),
    [final] ).

cnf(i_0_3227,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2023]),
    [final] ).

cnf(i_0_3228,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1870]),
    [final] ).

cnf(i_0_3229,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1871]),
    [final] ).

cnf(i_0_3230,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_2024]),
    [final] ).

cnf(i_0_3231,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3),
    inference(split_conjunct,[status(thm)],[i_0_2025]),
    [final] ).

cnf(i_0_3232,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),
    inference(split_conjunct,[status(thm)],[i_0_2026]),
    [final] ).

cnf(i_0_3233,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2),
    inference(split_conjunct,[status(thm)],[i_0_2027]),
    [final] ).

cnf(i_0_3234,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2),X3) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X3)),
    inference(split_conjunct,[status(thm)],[i_0_2028]),
    [final] ).

cnf(i_0_3235,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),
    inference(split_conjunct,[status(thm)],[i_0_2029]),
    [final] ).

cnf(i_0_3236,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3)),
    inference(split_conjunct,[status(thm)],[i_0_2030]),
    [final] ).

cnf(i_0_3237,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),
    inference(split_conjunct,[status(thm)],[i_0_2031]),
    [final] ).

cnf(i_0_3238,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),
    inference(split_conjunct,[status(thm)],[i_0_2032]),
    [final] ).

cnf(i_0_3239,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3)),
    inference(split_conjunct,[status(thm)],[i_0_2033]),
    [final] ).

cnf(i_0_3240,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_2034,c_0_1605]),
    [final] ).

cnf(i_0_3241,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_2035,c_0_1605]),
    [final] ).

cnf(i_0_3242,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_2036,c_0_1605]),
    [final] ).

cnf(i_0_3243,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_2037,c_0_1605]),
    [final] ).

cnf(i_0_3244,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_2038]),
    [final] ).

cnf(i_0_3245,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,esk15_0)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2039]),
    [final] ).

cnf(i_0_3246,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2040]),
    [final] ).

cnf(i_0_3247,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2041]),
    [final] ).

cnf(i_0_3248,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) ),
    inference(rw,[status(thm)],[i_0_2042,c_0_1605]),
    [final] ).

cnf(i_0_3249,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) ),
    inference(rw,[status(thm)],[i_0_2043,c_0_1605]),
    [final] ).

cnf(i_0_3250,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) ),
    inference(rw,[status(thm)],[i_0_2044,c_0_1605]),
    [final] ).

cnf(i_0_3251,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) ),
    inference(rw,[status(thm)],[i_0_2045,c_0_1605]),
    [final] ).

cnf(i_0_3252,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) ),
    inference(rw,[status(thm)],[i_0_2046,c_0_1605]),
    [final] ).

cnf(i_0_3253,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2047]),
    [final] ).

cnf(i_0_3254,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_2048,c_0_1605]),
    [final] ).

cnf(i_0_3255,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_2049]),
    [final] ).

cnf(i_0_3256,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_2050]),
    [final] ).

cnf(i_0_3257,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(rw,[status(thm)],[i_0_2051,c_0_1544]),
    [final] ).

cnf(i_0_3258,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[i_0_2052,c_0_1605]),
    [final] ).

cnf(i_0_3259,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2053]),
    [final] ).

cnf(i_0_3260,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(split_conjunct,[status(thm)],[i_0_2054]),
    [final] ).

cnf(i_0_3261,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2055]),
    [final] ).

cnf(i_0_3262,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oabs__class_Oabs(X1,X3),X2) = c_Groups_Oabs__class_Oabs(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2056]),
    [final] ).

cnf(i_0_3263,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2057,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3264,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2058]),
    [final] ).

cnf(i_0_3265,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2059]),
    [final] ).

cnf(i_0_3266,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2060]),
    [final] ).

cnf(i_0_3267,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2061]),
    [final] ).

cnf(i_0_3268,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Power_Opower__class_Opower(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)) = c_Groups_Oabs__class_Oabs(X1,c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2062]),
    [final] ).

cnf(i_0_3269,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2063]),
    [final] ).

cnf(i_0_3270,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2063]),
    [final] ).

cnf(i_0_3271,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2064]),
    [final] ).

cnf(i_0_3272,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2065]),
    [final] ).

cnf(i_0_3273,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2066]),
    [final] ).

cnf(i_0_3274,plain,
    ( c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),c_RealDef_Oreal(tc_Nat_Onat,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2067]),
    [final] ).

cnf(i_0_3275,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rw,[status(thm)],[i_0_2068,c_0_1605]),
    [final] ).

cnf(i_0_3276,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X5) = c_Groups_Otimes__class_Otimes(X1,X4,X3)
    | X5 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != c_Rings_Oinverse__class_Odivide(X1,X4,X5)
    | ~ class_Fields_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2069]),
    [final] ).

cnf(i_0_3277,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,X5) = c_Rings_Oinverse__class_Odivide(X1,X4,X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | X5 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Otimes__class_Otimes(X1,X2,X3) != c_Groups_Otimes__class_Otimes(X1,X4,X5)
    | ~ class_Fields_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2069]),
    [final] ).

cnf(i_0_3278,plain,
    ( X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2070,c_0_1605]),c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3279,plain,
    ( X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2071,c_0_1605]),c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3280,plain,
    ( X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk39_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2072,c_0_1605]),
    [final] ).

cnf(i_0_3281,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X1,X3) != c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2073]),
    [final] ).

cnf(i_0_3282,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X3,X1) != c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)
    | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2073]),
    [final] ).

cnf(i_0_3283,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)) ),
    inference(rw,[status(thm)],[i_0_2074,c_0_1544]),
    [final] ).

cnf(i_0_3284,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)) ),
    inference(rw,[status(thm)],[i_0_2075,c_0_1544]),
    [final] ).

cnf(i_0_3285,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Int_OPls) ),
    inference(rw,[status(thm)],[i_0_2076,c_0_1544]),
    [final] ).

cnf(i_0_3286,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Int_OPls) ),
    inference(rw,[status(thm)],[i_0_2077,c_0_1544]),
    [final] ).

cnf(i_0_3287,plain,
    ( c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X1,X1),c_Groups_Otimes__class_Otimes(X2,X3,X3)) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1845]),
    [final] ).

cnf(i_0_3288,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,X2),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4)
    | ~ class_Orderings_Oord(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2078]),
    [final] ).

cnf(i_0_3289,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1887]),
    [final] ).

cnf(i_0_3290,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2079]),
    [final] ).

cnf(i_0_3291,plain,
    ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,X1),X3,X4),X5) = c_Groups_Ominus__class_Ominus(X1,hAPP(X3,X5),hAPP(X4,X5))
    | ~ class_Groups_Ominus(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2080]),
    [final] ).

cnf(i_0_3292,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2081]),
    [final] ).

cnf(i_0_3293,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2009]),
    [final] ).

cnf(i_0_3294,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2010]),
    [final] ).

cnf(i_0_3295,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2007]),
    [final] ).

cnf(i_0_3296,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2008]),
    [final] ).

cnf(i_0_3297,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X3)))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2082]),
    [final] ).

cnf(i_0_3298,plain,
    ( X3 = X4
    | c_Power_Opower__class_Opower(X1,X2,X3) != c_Power_Opower__class_Opower(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2083]),
    [final] ).

cnf(i_0_3299,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1873]),
    [final] ).

cnf(i_0_3300,plain,
    ( c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2073]),
    [final] ).

cnf(i_0_3301,plain,
    ( ~ class_Rings_Olinordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2084]),
    [final] ).

cnf(i_0_3302,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1988]),
    [final] ).

cnf(i_0_3303,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1989]),
    [final] ).

cnf(i_0_3304,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1990]),
    [final] ).

cnf(i_0_3305,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2085]),
    [final] ).

cnf(i_0_3306,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1986]),
    [final] ).

cnf(i_0_3307,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2086]),
    [final] ).

cnf(i_0_3308,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1987]),
    [final] ).

cnf(i_0_3309,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2087]),
    [final] ).

cnf(i_0_3310,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_2088,c_0_1605]),
    [final] ).

cnf(i_0_3311,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rw,[status(thm)],[i_0_2089,c_0_1605]),
    [final] ).

cnf(i_0_3312,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2079]),
    [final] ).

cnf(i_0_3313,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X2),X4,X3)
    | ~ class_Orderings_Oord(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2078]),
    [final] ).

cnf(i_0_3314,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2012]),
    [final] ).

cnf(i_0_3315,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2013]),
    [final] ).

cnf(i_0_3316,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2090]),
    [final] ).

cnf(i_0_3317,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))),
    inference(split_conjunct,[status(thm)],[i_0_2091]),
    [final] ).

cnf(i_0_3318,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[i_0_2092]),
    [final] ).

cnf(i_0_3319,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2093]),
    [final] ).

cnf(i_0_3320,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2094]),
    [final] ).

cnf(i_0_3321,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(rw,[status(thm)],[i_0_2095,c_0_1605]),
    [final] ).

cnf(i_0_3322,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1) != c_Int_OPls,
    inference(rw,[status(thm)],[i_0_2096,c_0_1545]),
    [final] ).

cnf(i_0_3323,plain,
    c_Int_OPls != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),
    inference(rw,[status(thm)],[i_0_2097,c_0_1545]),
    [final] ).

cnf(i_0_3324,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(rw,[status(thm)],[i_0_2098,c_0_1605]),
    [final] ).

cnf(i_0_3325,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(rw,[status(thm)],[i_0_2099,c_0_1605]),
    [final] ).

cnf(i_0_3326,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2100]),
    [final] ).

cnf(i_0_3327,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2101,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3328,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X1,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1635]),
    [final] ).

cnf(i_0_3329,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rw,[status(thm)],[i_0_2102,c_0_1605]),
    [final] ).

cnf(i_0_3330,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)) = c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X3,X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2103]),
    [final] ).

cnf(i_0_3331,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)) = c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X3,X2))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2104]),
    [final] ).

cnf(i_0_3332,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(rw,[status(thm)],[i_0_2105,c_0_1544]),
    [final] ).

cnf(i_0_3333,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2106]),
    [final] ).

cnf(i_0_3334,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1931]),
    [final] ).

cnf(i_0_3335,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1931]),
    [final] ).

cnf(i_0_3336,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2040]),
    [final] ).

cnf(i_0_3337,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2041]),
    [final] ).

cnf(i_0_3338,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2107,c_0_1605]),
    [final] ).

cnf(i_0_3339,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2108,c_0_1605]),
    [final] ).

cnf(i_0_3340,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2109,c_0_1605]),
    [final] ).

cnf(i_0_3341,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2110]),
    [final] ).

cnf(i_0_3342,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2047]),
    [final] ).

cnf(i_0_3343,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2111,c_0_1605]),
    [final] ).

cnf(i_0_3344,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2112,c_0_1605]),
    [final] ).

cnf(i_0_3345,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2050]),
    [final] ).

cnf(i_0_3346,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2113,c_0_1605]),
    [final] ).

cnf(i_0_3347,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2114,c_0_1605]),
    [final] ).

cnf(i_0_3348,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2115,c_0_1605]),
    [final] ).

cnf(i_0_3349,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2116,c_0_1605]),
    [final] ).

cnf(i_0_3350,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2049]),
    [final] ).

cnf(i_0_3351,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2038]),
    [final] ).

cnf(i_0_3352,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_2117]),
    [final] ).

cnf(i_0_3353,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),
    inference(split_conjunct,[status(thm)],[i_0_2118]),
    [final] ).

cnf(i_0_3354,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_2022]),
    [final] ).

cnf(i_0_3355,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2053]),
    [final] ).

cnf(i_0_3356,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2054]),
    [final] ).

cnf(i_0_3357,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2055]),
    [final] ).

cnf(i_0_3358,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2119]),
    [final] ).

cnf(i_0_3359,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2120]),
    [final] ).

cnf(i_0_3360,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2121]),
    [final] ).

cnf(i_0_3361,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,X5),hAPP(X4,X5))
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2122]),
    [final] ).

cnf(i_0_3362,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,X5),hAPP(X4,X5))
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2123]),
    [final] ).

cnf(i_0_3363,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,hAPP(X3,X5),hAPP(X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4)
    | ~ class_Orderings_Oord(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1614]),
    [final] ).

cnf(i_0_3364,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2124]),
    [final] ).

cnf(i_0_3365,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2125]),
    [final] ).

cnf(i_0_3366,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2126]),
    [final] ).

cnf(i_0_3367,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2127]),
    [final] ).

cnf(i_0_3368,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2128]),
    [final] ).

cnf(i_0_3369,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2129]),
    [final] ).

cnf(i_0_3370,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2130]),
    [final] ).

cnf(i_0_3371,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2131]),
    [final] ).

cnf(i_0_3372,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2132]),
    [final] ).

cnf(i_0_3373,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2133,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3374,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2134,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3375,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2135,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3376,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2136,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3377,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2137,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3378,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3))
    | ~ class_Fields_Ofield__inverse__zero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2138]),
    [final] ).

cnf(i_0_3379,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Oabs__class_Oabs(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2)) = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oabs__class_Oabs(X1,X3),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2139]),
    [final] ).

cnf(i_0_3380,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_RealVector_Onorm__class_Onorm(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X1,X2))
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2140]),
    [final] ).

cnf(i_0_3381,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(rw,[status(thm)],[i_0_2141,c_0_1544]),
    [final] ).

cnf(i_0_3382,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(rw,[status(thm)],[i_0_2142,c_0_1544]),
    [final] ).

cnf(i_0_3383,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(rw,[status(thm)],[i_0_2143,c_0_1544]),
    [final] ).

cnf(i_0_3384,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(rw,[status(thm)],[i_0_2144,c_0_1544]),
    [final] ).

cnf(i_0_3385,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2145]),
    [final] ).

cnf(i_0_3386,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2146]),
    [final] ).

cnf(i_0_3387,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2147]),
    [final] ).

cnf(i_0_3388,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2148]),
    [final] ).

cnf(i_0_3389,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2149]),
    [final] ).

cnf(i_0_3390,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2150]),
    [final] ).

cnf(i_0_3391,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2151]),
    [final] ).

cnf(i_0_3392,plain,
    ( c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2152]),
    [final] ).

cnf(i_0_3393,plain,
    ( c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2153]),
    [final] ).

cnf(i_0_3394,plain,
    ( c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2154]),
    [final] ).

cnf(i_0_3395,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3)) = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2155]),
    [final] ).

cnf(i_0_3396,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3)) = c_Groups_Otimes__class_Otimes(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2156]),
    [final] ).

cnf(i_0_3397,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2157]),
    [final] ).

cnf(i_0_3398,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2158]),
    [final] ).

cnf(i_0_3399,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2159]),
    [final] ).

cnf(i_0_3400,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3))
    | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2160]),
    [final] ).

cnf(i_0_3401,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X2,X3))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2161]),
    [final] ).

cnf(i_0_3402,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2162]),
    [final] ).

cnf(i_0_3403,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X2,X3)) = c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2163]),
    [final] ).

cnf(i_0_3404,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3)) = c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2164]),
    [final] ).

cnf(i_0_3405,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X3)) = c_Groups_Ominus__class_Ominus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2165]),
    [final] ).

cnf(i_0_3406,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Groups_Ouminus__class_Ouminus(X1,c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2166]),
    [final] ).

cnf(i_0_3407,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2167]),
    [final] ).

cnf(i_0_3408,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2168]),
    [final] ).

cnf(i_0_3409,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2169]),
    [final] ).

cnf(i_0_3410,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)))
    | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1887]),
    [final] ).

cnf(i_0_3411,plain,
    c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2170,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3412,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X3),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1947]),
    [final] ).

cnf(i_0_3413,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2171]),
    [final] ).

cnf(i_0_3414,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3) = X2
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2172]),
    [final] ).

cnf(i_0_3415,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2172]),
    [final] ).

cnf(i_0_3416,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Otimes__class_Otimes(X1,X2,X3)) = c_Groups_Otimes__class_Otimes(X1,X2,X3)
    | ~ class_Lattices_Oab__semigroup__idem__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2173]),
    [final] ).

cnf(i_0_3417,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)) = X3
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2174]),
    [final] ).

cnf(i_0_3418,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2175]),
    [final] ).

cnf(i_0_3419,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2176]),
    [final] ).

cnf(i_0_3420,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2177]),
    [final] ).

cnf(i_0_3421,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X4),hAPP(X2,X3))
    | ~ c_SEQ_Odecseq(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1941]),
    [final] ).

cnf(i_0_3422,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != X2 ),
    inference(rw,[status(thm)],[i_0_2178,c_0_1605]),
    [final] ).

cnf(i_0_3423,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk12_0),v_r)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ),
    inference(split_conjunct,[status(thm)],[i_0_1743]),
    [final] ).

cnf(i_0_3424,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) ),
    inference(rw,[status(thm)],[i_0_2179,c_0_1605]),
    [final] ).

cnf(i_0_3425,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rw,[status(thm)],[i_0_2180,c_0_1605]),
    [final] ).

cnf(i_0_3426,plain,
    ( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2)),X3) = c_Groups_Ouminus__class_Ouminus(X1,hAPP(c_Polynomial_Opoly(X1,X2),X3))
    | ~ class_Rings_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2181]),
    [final] ).

cnf(i_0_3427,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X2),X3,X4)
    | ~ class_Orderings_Oord(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2078]),
    [final] ).

cnf(i_0_3428,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2059]),
    [final] ).

cnf(i_0_3429,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2182]),
    [final] ).

cnf(i_0_3430,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2183]),
    [final] ).

cnf(i_0_3431,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2183]),
    [final] ).

cnf(i_0_3432,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2061]),
    [final] ).

cnf(i_0_3433,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2184]),
    [final] ).

cnf(i_0_3434,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2184]),
    [final] ).

cnf(i_0_3435,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2185]),
    [final] ).

cnf(i_0_3436,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2185]),
    [final] ).

cnf(i_0_3437,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2186]),
    [final] ).

cnf(i_0_3438,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2186]),
    [final] ).

cnf(i_0_3439,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2187]),
    [final] ).

cnf(i_0_3440,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2188]),
    [final] ).

cnf(i_0_3441,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2189,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_3442,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2190]),
    [final] ).

cnf(i_0_3443,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2)) = c_Rings_Oinverse__class_Odivide(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2191]),
    [final] ).

cnf(i_0_3444,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2192,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3445,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2193,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3446,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2194,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3447,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2195,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3448,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))),
    inference(split_conjunct,[status(thm)],[i_0_2196]),
    [final] ).

cnf(i_0_3449,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X1))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1979]),
    [final] ).

cnf(i_0_3450,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2197]),
    [final] ).

cnf(i_0_3451,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1979]),
    [final] ).

cnf(i_0_3452,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2198]),
    [final] ).

cnf(i_0_3453,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2199]),
    [final] ).

cnf(i_0_3454,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2200]),
    [final] ).

cnf(i_0_3455,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2079]),
    [final] ).

cnf(i_0_3456,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2201]),
    [final] ).

cnf(i_0_3457,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3) = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2202]),
    [final] ).

cnf(i_0_3458,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3) = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2203]),
    [final] ).

cnf(i_0_3459,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3) = c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2204]),
    [final] ).

cnf(i_0_3460,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3)) = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2205]),
    [final] ).

cnf(i_0_3461,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3)) = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2206]),
    [final] ).

cnf(i_0_3462,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Power_Opower__class_Opower(X1,X2,X3)) = c_Power_Opower__class_Opower(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2207]),
    [final] ).

cnf(i_0_3463,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3)) = c_Groups_Otimes__class_Otimes(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2208]),
    [final] ).

cnf(i_0_3464,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2209]),
    [final] ).

cnf(i_0_3465,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3)) = c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2210]),
    [final] ).

cnf(i_0_3466,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2211]),
    [final] ).

cnf(i_0_3467,plain,
    ( c_SEQ_Osubseq(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,esk3_1(X1)),hAPP(X1,esk4_1(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_2212]),
    [final] ).

cnf(i_0_3468,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,c_Power_Opower__class_Opower(X1,X2,X3)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2213]),
    [final] ).

cnf(i_0_3469,plain,
    ( c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2214,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3470,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),
    inference(split_conjunct,[status(thm)],[i_0_2215]),
    [final] ).

cnf(i_0_3471,plain,
    ( c_Orderings_Oord__class_Oless__eq(X3,c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Rings_Olinordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2145]),
    [final] ).

cnf(i_0_3472,plain,
    ( c_Orderings_Oord__class_Oless(X3,c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Rings_Olinordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2146]),
    [final] ).

cnf(i_0_3473,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2216]),
    [final] ).

cnf(i_0_3474,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2217]),
    [final] ).

cnf(i_0_3475,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2218]),
    [final] ).

cnf(i_0_3476,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2219]),
    [final] ).

cnf(i_0_3477,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2220]),
    [final] ).

cnf(i_0_3478,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2221]),
    [final] ).

cnf(i_0_3479,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2222]),
    [final] ).

cnf(i_0_3480,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2223]),
    [final] ).

cnf(i_0_3481,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2224]),
    [final] ).

cnf(i_0_3482,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk14_1(X1)),v_r)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1651]),
    [final] ).

cnf(i_0_3483,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk13_1(X1)),v_r)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1777]),
    [final] ).

cnf(i_0_3484,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(rw,[status(thm)],[i_0_2225,c_0_1605]),
    [final] ).

cnf(i_0_3485,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2167]),
    [final] ).

cnf(i_0_3486,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Lattices_Oboolean__algebra(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2226]),
    [final] ).

cnf(i_0_3487,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2168]),
    [final] ).

cnf(i_0_3488,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2227]),
    [final] ).

cnf(i_0_3489,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2169]),
    [final] ).

cnf(i_0_3490,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2228]),
    [final] ).

cnf(i_0_3491,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,X3))
    | ~ c_SEQ_Osubseq(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2212]),
    [final] ).

cnf(i_0_3492,plain,
    ( X2 = X3
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,X3)
    | c_Groups_Otimes__class_Otimes(X1,X2,X2) != c_Groups_Otimes__class_Otimes(X1,X3,X3)
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2229]),
    [final] ).

cnf(i_0_3493,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2081]),
    [final] ).

cnf(i_0_3494,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Oplus__class_Oplus(X1,X2,X3)) = X3
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2230]),
    [final] ).

cnf(i_0_3495,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2231]),
    [final] ).

cnf(i_0_3496,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2232]),
    [final] ).

cnf(i_0_3497,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2233]),
    [final] ).

cnf(i_0_3498,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2234]),
    [final] ).

cnf(i_0_3499,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_2022]),
    [final] ).

cnf(i_0_3500,plain,
    c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X2) = c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2235]),
    [final] ).

cnf(i_0_3501,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X2),
    inference(split_conjunct,[status(thm)],[i_0_2236]),
    [final] ).

cnf(i_0_3502,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(hAPP(X3,X1),X2))
    | X2 = X1
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2237]),
    [final] ).

cnf(i_0_3503,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk19_1(X1))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk18_1(X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,esk17_0) ),
    inference(split_conjunct,[status(thm)],[i_0_1885]),
    [final] ).

cnf(i_0_3504,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk11_1(X1))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk10_1(X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_s____) ),
    inference(split_conjunct,[status(thm)],[i_0_1886]),
    [final] ).

cnf(i_0_3505,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2216]),
    [final] ).

cnf(i_0_3506,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2217]),
    [final] ).

cnf(i_0_3507,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2218]),
    [final] ).

cnf(i_0_3508,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2219]),
    [final] ).

cnf(i_0_3509,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2059]),
    [final] ).

cnf(i_0_3510,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2238]),
    [final] ).

cnf(i_0_3511,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2061]),
    [final] ).

cnf(i_0_3512,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Power_Opower(X1)
    | ~ class_Rings_Osemiring__0(X1) ),
    inference(rw,[status(thm)],[i_0_2239,c_0_1605]),
    [final] ).

cnf(i_0_3513,plain,
    ( X3 = X4
    | X1 != X2
    | c_Groups_Ominus__class_Ominus(X5,X1,X2) != c_Groups_Ominus__class_Ominus(X5,X3,X4)
    | ~ class_Groups_Oab__group__add(X5) ),
    inference(split_conjunct,[status(thm)],[i_0_2240]),
    [final] ).

cnf(i_0_3514,plain,
    ( X3 = X4
    | X1 != X2
    | c_Groups_Ominus__class_Ominus(X5,X3,X4) != c_Groups_Ominus__class_Ominus(X5,X1,X2)
    | ~ class_Groups_Oab__group__add(X5) ),
    inference(split_conjunct,[status(thm)],[i_0_2240]),
    [final] ).

cnf(i_0_3515,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2231]),
    [final] ).

cnf(i_0_3516,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2232]),
    [final] ).

cnf(i_0_3517,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2233]),
    [final] ).

cnf(i_0_3518,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2234]),
    [final] ).

cnf(i_0_3519,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[i_0_2241,c_0_1605]),
    [final] ).

cnf(i_0_3520,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[i_0_2242,c_0_1605]),
    [final] ).

cnf(i_0_3521,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2243]),
    [final] ).

cnf(i_0_3522,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2090]),
    [final] ).

cnf(i_0_3523,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2199]),
    [final] ).

cnf(i_0_3524,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2198]),
    [final] ).

cnf(i_0_3525,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2201]),
    [final] ).

cnf(i_0_3526,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2200]),
    [final] ).

cnf(i_0_3527,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2223]),
    [final] ).

cnf(i_0_3528,plain,
    ( c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2224]),
    [final] ).

cnf(i_0_3529,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2221]),
    [final] ).

cnf(i_0_3530,plain,
    ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2222]),
    [final] ).

cnf(i_0_3531,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)) = c_Groups_Ominus__class_Ominus(X1,X3,X2)
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2244]),
    [final] ).

cnf(i_0_3532,plain,
    ( X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2245]),
    [final] ).

cnf(i_0_3533,plain,
    ( X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2246]),
    [final] ).

cnf(i_0_3534,plain,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2247]),
    [final] ).

cnf(i_0_3535,plain,
    ( X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2248]),
    [final] ).

cnf(i_0_3536,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2249]),
    [final] ).

cnf(i_0_3537,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oone__class_Oone(X1)))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2250]),
    [final] ).

cnf(i_0_3538,plain,
    ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2251]),
    [final] ).

cnf(i_0_3539,plain,
    ( X2 = X4
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2252]),
    [final] ).

cnf(i_0_3540,plain,
    ( X2 = X4
    | c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X4,X3)
    | ~ class_Groups_Ocancel__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2253]),
    [final] ).

cnf(i_0_3541,plain,
    ( X3 = X4
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1)
    | c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2254]),
    [final] ).

cnf(i_0_3542,plain,
    ( X3 = X4
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2255]),
    [final] ).

cnf(i_0_3543,plain,
    ( X3 = X4
    | c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X2,X4)
    | ~ class_Groups_Ocancel__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2256]),
    [final] ).

cnf(i_0_3544,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_2090]),
    [final] ).

cnf(i_0_3545,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2257]),
    [final] ).

cnf(i_0_3546,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2220]),
    [final] ).

cnf(i_0_3547,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2258]),
    [final] ).

cnf(i_0_3548,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2259]),
    [final] ).

cnf(i_0_3549,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2260]),
    [final] ).

cnf(i_0_3550,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2261]),
    [final] ).

cnf(i_0_3551,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2262]),
    [final] ).

cnf(i_0_3552,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2263]),
    [final] ).

cnf(i_0_3553,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2264]),
    [final] ).

cnf(i_0_3554,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2265]),
    [final] ).

cnf(i_0_3555,plain,
    ( X1 = X2
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2266,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3556,plain,
    ( X1 = X2
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2267,c_0_1605]),c_0_1605]),
    [final] ).

cnf(i_0_3557,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | hAPP(c_Polynomial_Opoly(X1,X2),X3) != c_Groups_Ozero__class_Ozero(X1)
    | c_Polynomial_Oorder(X1,X3,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2268]),
    [final] ).

cnf(i_0_3558,plain,
    ( X1 = X2
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2269]),
    [final] ).

cnf(i_0_3559,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2270]),
    [final] ).

cnf(i_0_3560,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rw,[status(thm)],[i_0_2271,c_0_1605]),
    [final] ).

cnf(i_0_3561,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X2))
    | ~ class_Rings_Olinordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2272]),
    [final] ).

cnf(i_0_3562,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_Rings_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2273]),
    [final] ).

cnf(i_0_3563,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2081]),
    [final] ).

cnf(i_0_3564,plain,
    c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2)),
    inference(split_conjunct,[status(thm)],[i_0_2274]),
    [final] ).

cnf(i_0_3565,plain,
    c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2)),
    inference(split_conjunct,[status(thm)],[i_0_2275]),
    [final] ).

cnf(i_0_3566,plain,
    ( X1 = X3
    | X2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2276]),
    [final] ).

cnf(i_0_3567,plain,
    ( X2 = X3
    | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2277]),
    [final] ).

cnf(i_0_3568,plain,
    ( c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2278]),
    [final] ).

cnf(i_0_3569,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2279]),
    [final] ).

cnf(i_0_3570,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2280]),
    [final] ).

cnf(i_0_3571,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2281]),
    [final] ).

cnf(i_0_3572,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2282]),
    [final] ).

cnf(i_0_3573,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X3) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2283]),
    [final] ).

cnf(i_0_3574,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rw,[status(thm)],[i_0_2284,c_0_1605]),
    [final] ).

cnf(i_0_3575,plain,
    ( X1 = X2
    | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2285,c_0_1544]),c_0_1544]),
    [final] ).

cnf(i_0_3576,plain,
    ( X1 = X3
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2286]),
    [final] ).

cnf(i_0_3577,plain,
    ( X2 = X3
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2287]),
    [final] ).

cnf(i_0_3578,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk19_1(X1)),v_r)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,esk17_0) ),
    inference(split_conjunct,[status(thm)],[i_0_1885]),
    [final] ).

cnf(i_0_3579,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk11_1(X1)),v_r)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_s____) ),
    inference(split_conjunct,[status(thm)],[i_0_1886]),
    [final] ).

cnf(i_0_3580,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X2)) = c_Groups_Otimes__class_Otimes(X1,X2,X2)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2288]),
    [final] ).

cnf(i_0_3581,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3)) = c_Groups_Otimes__class_Otimes(X1,X2,X3)
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2289]),
    [final] ).

cnf(i_0_3582,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3)) = c_Rings_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2290]),
    [final] ).

cnf(i_0_3583,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3) = c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2291]),
    [final] ).

cnf(i_0_3584,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2249]),
    [final] ).

cnf(i_0_3585,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1,
    inference(rw,[status(thm)],[i_0_2292,c_0_1605]),
    [final] ).

cnf(i_0_3586,plain,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,X2)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),X2),
    inference(split_conjunct,[status(thm)],[i_0_2293]),
    [final] ).

cnf(i_0_3587,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != X2 ),
    inference(rw,[status(thm)],[i_0_2294,c_0_1605]),
    [final] ).

cnf(i_0_3588,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2038]),
    [final] ).

cnf(i_0_3589,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rw,[status(thm)],[i_0_2295,c_0_1605]),
    [final] ).

cnf(i_0_3590,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X2,X1))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2040]),
    [final] ).

cnf(i_0_3591,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X2,X1))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2041]),
    [final] ).

cnf(i_0_3592,plain,
    ( X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk38_2(X2,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2296]),
    [final] ).

cnf(i_0_3593,plain,
    ( X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk37_2(X2,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2297]),
    [final] ).

cnf(i_0_3594,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2094]),
    [final] ).

cnf(i_0_3595,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rw,[status(thm)],[i_0_2298,c_0_1605]),
    [final] ).

cnf(i_0_3596,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3)) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2251]),
    [final] ).

cnf(i_0_3597,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2270]),
    [final] ).

cnf(i_0_3598,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_2299]),
    [final] ).

cnf(i_0_3599,plain,
    ( c_Rings_Oinverse__class_Odivide(X2,X3,X4) = X1
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Otimes__class_Otimes(X2,X1,X4)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2300]),
    [final] ).

cnf(i_0_3600,plain,
    ( X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X3) != X4
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2301]),
    [final] ).

cnf(i_0_3601,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1) = X2,
    inference(split_conjunct,[status(thm)],[i_0_2302]),
    [final] ).

cnf(i_0_3602,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2303]),
    [final] ).

cnf(i_0_3603,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_2304]),
    [final] ).

cnf(i_0_3604,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2305]),
    [final] ).

cnf(i_0_3605,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(split_conjunct,[status(thm)],[i_0_2306]),
    [final] ).

cnf(i_0_3606,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2307]),
    [final] ).

cnf(i_0_3607,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2308]),
    [final] ).

cnf(i_0_3608,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) = X4
    | X3 != c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2301]),
    [final] ).

cnf(i_0_3609,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) = X4
    | X3 != c_Groups_Otimes__class_Otimes(X2,X4,X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2300]),
    [final] ).

cnf(i_0_3610,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X3,X2) = X4
    | ~ class_Rings_Odivision__ring(X1)
    | X3 != c_Groups_Otimes__class_Otimes(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2309]),
    [final] ).

cnf(i_0_3611,plain,
    ( c_Groups_Otimes__class_Otimes(X2,X1,X4) = X3
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Rings_Oinverse__class_Odivide(X2,X3,X4)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2310]),
    [final] ).

cnf(i_0_3612,plain,
    ( c_Rings_Oinverse__class_Odivide(X2,X1,X4) = X3
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Otimes__class_Otimes(X2,X3,X4)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2311]),
    [final] ).

cnf(i_0_3613,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Otimes__class_Otimes(X2,X4,X1)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) != X4
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2300]),
    [final] ).

cnf(i_0_3614,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) != X4
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2301]),
    [final] ).

cnf(i_0_3615,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Rings_Oinverse__class_Odivide(X1,X4,X2)
    | ~ class_Rings_Odivision__ring(X1)
    | c_Groups_Otimes__class_Otimes(X1,X3,X2) != X4 ),
    inference(split_conjunct,[status(thm)],[i_0_2312]),
    [final] ).

cnf(i_0_3616,plain,
    ( X2 = c_Groups_Otimes__class_Otimes(X1,X4,X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X4
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2311]),
    [final] ).

cnf(i_0_3617,plain,
    ( X2 = c_Rings_Oinverse__class_Odivide(X1,X4,X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Otimes__class_Otimes(X1,X2,X3) != X4
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2310]),
    [final] ).

cnf(i_0_3618,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Groups_Oabs__class_Oabs(X1,c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Int_Onumber__class_Onumber__of(X1,X2)
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2166]),
    [final] ).

cnf(i_0_3619,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2313]),
    [final] ).

cnf(i_0_3620,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2314]),
    [final] ).

cnf(i_0_3621,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2315]),
    [final] ).

cnf(i_0_3622,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2316]),
    [final] ).

cnf(i_0_3623,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2317]),
    [final] ).

cnf(i_0_3624,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2318]),
    [final] ).

cnf(i_0_3625,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2319]),
    [final] ).

cnf(i_0_3626,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2320]),
    [final] ).

cnf(i_0_3627,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X2))
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2321]),
    [final] ).

cnf(i_0_3628,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk31_1(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(rw,[status(thm)],[i_0_2322,c_0_1605]),
    [final] ).

cnf(i_0_3629,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2313]),
    [final] ).

cnf(i_0_3630,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2323]),
    [final] ).

cnf(i_0_3631,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2324]),
    [final] ).

cnf(i_0_3632,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2314]),
    [final] ).

cnf(i_0_3633,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2315]),
    [final] ).

cnf(i_0_3634,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2325]),
    [final] ).

cnf(i_0_3635,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2316]),
    [final] ).

cnf(i_0_3636,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2317]),
    [final] ).

cnf(i_0_3637,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2318]),
    [final] ).

cnf(i_0_3638,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2319]),
    [final] ).

cnf(i_0_3639,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2320]),
    [final] ).

cnf(i_0_3640,plain,
    ( c_Nat__Transfer_Otsub(X2,X1) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2326]),
    [final] ).

cnf(i_0_3641,plain,
    ( c_Nat__Transfer_Otsub(X2,X1) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2327]),
    [final] ).

cnf(i_0_3642,plain,
    ( X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2328]),
    [final] ).

cnf(i_0_3643,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2329]),
    [final] ).

cnf(i_0_3644,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2330]),
    [final] ).

cnf(i_0_3645,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2331]),
    [final] ).

cnf(i_0_3646,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2332]),
    [final] ).

cnf(i_0_3647,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2333]),
    [final] ).

cnf(i_0_3648,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2243]),
    [final] ).

cnf(i_0_3649,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2334]),
    [final] ).

cnf(i_0_3650,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2335]),
    [final] ).

cnf(i_0_3651,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2307]),
    [final] ).

cnf(i_0_3652,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2336]),
    [final] ).

cnf(i_0_3653,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2337]),
    [final] ).

cnf(i_0_3654,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2308]),
    [final] ).

cnf(i_0_3655,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2338]),
    [final] ).

cnf(i_0_3656,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2332]),
    [final] ).

cnf(i_0_3657,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2333]),
    [final] ).

cnf(i_0_3658,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2339]),
    [final] ).

cnf(i_0_3659,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2220]),
    [final] ).

cnf(i_0_3660,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[i_0_2340,c_0_1605]),
    [final] ).

cnf(i_0_3661,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2341]),
    [final] ).

cnf(i_0_3662,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2342]),
    [final] ).

cnf(i_0_3663,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2342]),
    [final] ).

cnf(i_0_3664,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2))
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2343]),
    [final] ).

cnf(i_0_3665,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(split_conjunct,[status(thm)],[i_0_2344]),
    [final] ).

cnf(i_0_3666,plain,
    ( ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2345]),
    [final] ).

cnf(i_0_3667,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3)) = c_Groups_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2346]),
    [final] ).

cnf(i_0_3668,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2347]),
    [final] ).

cnf(i_0_3669,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2348]),
    [final] ).

cnf(i_0_3670,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2349]),
    [final] ).

cnf(i_0_3671,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2350]),
    [final] ).

cnf(i_0_3672,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,esk18_1(X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,esk17_0) ),
    inference(split_conjunct,[status(thm)],[i_0_1885]),
    [final] ).

cnf(i_0_3673,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,esk10_1(X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_s____) ),
    inference(split_conjunct,[status(thm)],[i_0_1886]),
    [final] ).

cnf(i_0_3674,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2351]),
    [final] ).

cnf(i_0_3675,plain,
    ( c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Otimes__class_Otimes(X2,X3,X3)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Rings_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2229]),
    [final] ).

cnf(i_0_3676,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2352]),
    [final] ).

cnf(i_0_3677,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2353]),
    [final] ).

cnf(i_0_3678,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2354]),
    [final] ).

cnf(i_0_3679,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2355]),
    [final] ).

cnf(i_0_3680,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2356]),
    [final] ).

cnf(i_0_3681,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2357]),
    [final] ).

cnf(i_0_3682,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2351]),
    [final] ).

cnf(i_0_3683,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2358]),
    [final] ).

cnf(i_0_3684,plain,
    ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,X1),X3),X4) = c_Groups_Ouminus__class_Ouminus(X1,hAPP(X3,X4))
    | ~ class_Groups_Ouminus(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2359]),
    [final] ).

cnf(i_0_3685,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2296]),
    [final] ).

cnf(i_0_3686,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2297]),
    [final] ).

cnf(i_0_3687,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2360]),
    [final] ).

cnf(i_0_3688,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2352]),
    [final] ).

cnf(i_0_3689,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2353]),
    [final] ).

cnf(i_0_3690,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2361]),
    [final] ).

cnf(i_0_3691,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2362]),
    [final] ).

cnf(i_0_3692,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2355]),
    [final] ).

cnf(i_0_3693,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2356]),
    [final] ).

cnf(i_0_3694,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2357]),
    [final] ).

cnf(i_0_3695,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2363]),
    [final] ).

cnf(i_0_3696,plain,
    ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X3)) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2251]),
    [final] ).

cnf(i_0_3697,plain,
    ( c_Groups_Oabs__class_Oabs(X1,X2) = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oabs__if(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2364]),
    [final] ).

cnf(i_0_3698,plain,
    ( c_Groups_Oabs__class_Oabs(X1,X2) = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2365]),
    [final] ).

cnf(i_0_3699,plain,
    ( c_Groups_Oabs__class_Oabs(X1,X2) = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2366]),
    [final] ).

cnf(i_0_3700,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(rw,[status(thm)],[i_0_2367,c_0_1605]),
    [final] ).

cnf(i_0_3701,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),
    inference(split_conjunct,[status(thm)],[i_0_2368]),
    [final] ).

cnf(i_0_3702,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2369]),
    [final] ).

cnf(i_0_3703,plain,
    c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2370]),
    [final] ).

cnf(i_0_3704,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2371]),
    [final] ).

cnf(i_0_3705,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2372]),
    [final] ).

cnf(i_0_3706,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2373]),
    [final] ).

cnf(i_0_3707,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
    inference(split_conjunct,[status(thm)],[i_0_2374]),
    [final] ).

cnf(i_0_3708,plain,
    ( X1 = X2
    | hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2375]),
    [final] ).

cnf(i_0_3709,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2376]),
    [final] ).

cnf(i_0_3710,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk7_2(X1,X2),esk8_2(X1,X2))
    | c_SEQ_Odecseq(X2,X1)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1941]),
    [final] ).

cnf(i_0_3711,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X2,X1,X3) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2376]),
    [final] ).

cnf(i_0_3712,plain,
    ( X2 = c_Groups_Oone__class_Oone(X1)
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))
    | c_Groups_Otimes__class_Otimes(X1,X2,X2) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2377]),
    [final] ).

cnf(i_0_3713,plain,
    ( c_Power_Opower__class_Opower(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Groups_Oone__class_Oone(X2)
    | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Osemiring__0(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2378]),
    [final] ).

cnf(i_0_3714,plain,
    ( X1 = X2
    | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2379]),
    [final] ).

cnf(i_0_3715,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[i_0_2380]),
    [final] ).

cnf(i_0_3716,plain,
    ( c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | c_Orderings_Oord__class_Oless(X3,X1,X2)
    | X1 != X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2334]),
    [final] ).

cnf(i_0_3717,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(esk35_0,X1)),v_r),
    inference(split_conjunct,[status(thm)],[i_0_1341]),
    [final] ).

cnf(i_0_3718,plain,
    c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
    inference(split_conjunct,[status(thm)],[i_0_2381]),
    [final] ).

cnf(i_0_3719,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(X3,X1,X2)
    | c_Orderings_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2382]),
    [final] ).

cnf(i_0_3720,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2383]),
    [final] ).

cnf(i_0_3721,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2384]),
    [final] ).

cnf(i_0_3722,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2385]),
    [final] ).

cnf(i_0_3723,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2386]),
    [final] ).

cnf(i_0_3724,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X2 = X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2265]),
    [final] ).

cnf(i_0_3725,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2387]),
    [final] ).

cnf(i_0_3726,plain,
    ( c_Groups_Oabs__class_Oabs(X1,X2) = X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2388]),
    [final] ).

cnf(i_0_3727,plain,
    ( c_Groups_Oabs__class_Oabs(X1,X2) = X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2389]),
    [final] ).

cnf(i_0_3728,plain,
    ( c_Power_Opower__class_Opower(tc_Nat_Onat,X2,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rw,[status(thm)],[i_0_2390,c_0_1605]),
    [final] ).

cnf(i_0_3729,plain,
    ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Osemiring__0(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2378]),
    [final] ).

cnf(i_0_3730,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2391]),
    [final] ).

cnf(i_0_3731,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2392]),
    [final] ).

cnf(i_0_3732,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2393]),
    [final] ).

cnf(i_0_3733,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2264]),
    [final] ).

cnf(i_0_3734,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2394]),
    [final] ).

cnf(i_0_3735,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2395]),
    [final] ).

cnf(i_0_3736,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2262]),
    [final] ).

cnf(i_0_3737,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X3) = c_Groups_Otimes__class_Otimes(X1,X3,X2)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2396]),
    [final] ).

cnf(i_0_3738,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2397]),
    [final] ).

cnf(i_0_3739,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) = X3
    | ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2398]),
    [final] ).

cnf(i_0_3740,plain,
    ( X2 = c_Groups_Ouminus__class_Ouminus(X1,X3)
    | c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2399]),
    [final] ).

cnf(i_0_3741,plain,
    ( X3 = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2400]),
    [final] ).

cnf(i_0_3742,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) = c_Groups_Otimes__class_Otimes(X1,c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1)),X2)
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2401]),
    [final] ).

cnf(i_0_3743,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2402]),
    [final] ).

cnf(i_0_3744,plain,
    ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
    inference(split_conjunct,[status(thm)],[i_0_2403]),
    [final] ).

cnf(i_0_3745,plain,
    ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2404]),
    [final] ).

cnf(i_0_3746,plain,
    ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[i_0_2405]),
    [final] ).

cnf(i_0_3747,plain,
    ( ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2406]),
    [final] ).

cnf(i_0_3748,plain,
    ( ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2407]),
    [final] ).

cnf(i_0_3749,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),
    inference(rw,[status(thm)],[i_0_2408,c_0_1605]),
    [final] ).

cnf(i_0_3750,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Otimes__class_Otimes(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Oring__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2409]),
    [final] ).

cnf(i_0_3751,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ono__zero__divisors(X1)
    | c_Groups_Otimes__class_Otimes(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2410]),
    [final] ).

cnf(i_0_3752,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ono__zero__divisors(X1)
    | c_Groups_Otimes__class_Otimes(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2411]),
    [final] ).

cnf(i_0_3753,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2412]),
    [final] ).

cnf(i_0_3754,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2413]),
    [final] ).

cnf(i_0_3755,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2414]),
    [final] ).

cnf(i_0_3756,plain,
    ( c_Polynomial_Oorder(X1,X2,X3) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(c_Polynomial_Opoly(X1,X3),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2268]),
    [final] ).

cnf(i_0_3757,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X1) != X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2300]),
    [final] ).

cnf(i_0_3758,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2301]),
    [final] ).

cnf(i_0_3759,plain,
    ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
    | c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(X1),X2) = X2
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2278]),
    [final] ).

cnf(i_0_3760,plain,
    ( X2 = X3
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2415]),
    [final] ).

cnf(i_0_3761,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2416]),
    [final] ).

cnf(i_0_3762,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2417]),
    [final] ).

cnf(i_0_3763,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2418]),
    [final] ).

cnf(i_0_3764,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2)
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2419]),
    [final] ).

cnf(i_0_3765,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_2420]),
    [final] ).

cnf(i_0_3766,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_2421]),
    [final] ).

cnf(i_0_3767,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_2422]),
    [final] ).

cnf(i_0_3768,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Oplus__class_Oplus(X1,X2,X2) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2423]),
    [final] ).

cnf(i_0_3769,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | c_Power_Opower__class_Opower(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2424]),
    [final] ).

cnf(i_0_3770,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Ozero__class_Ozero(X1) != c_Groups_Oplus__class_Oplus(X1,X2,X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2425]),
    [final] ).

cnf(i_0_3771,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2426]),
    [final] ).

cnf(i_0_3772,plain,
    ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2338]),
    [final] ).

cnf(i_0_3773,plain,
    ( X2 = X3
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2427]),
    [final] ).

cnf(i_0_3774,plain,
    ( X2 = X3
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2428]),
    [final] ).

cnf(i_0_3775,plain,
    ( X2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
    | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2429]),
    [final] ).

cnf(i_0_3776,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2430]),
    [final] ).

cnf(i_0_3777,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2376]),
    [final] ).

cnf(i_0_3778,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2431]),
    [final] ).

cnf(i_0_3779,plain,
    ( c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2377]),
    [final] ).

cnf(i_0_3780,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2321]),
    [final] ).

cnf(i_0_3781,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | c_Polynomial_Opoly(X1,X2) != c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
    | ~ class_Int_Oring__char__0(X1)
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2432]),
    [final] ).

cnf(i_0_3782,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2350]),
    [final] ).

cnf(i_0_3783,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2333]),
    [final] ).

cnf(i_0_3784,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2265]),
    [final] ).

cnf(i_0_3785,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2433]),
    [final] ).

cnf(i_0_3786,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_2434]),
    [final] ).

cnf(i_0_3787,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_2435]),
    [final] ).

cnf(i_0_3788,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2382]),
    [final] ).

cnf(i_0_3789,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 != X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2382]),
    [final] ).

cnf(i_0_3790,plain,
    ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_2436]),
    [final] ).

cnf(i_0_3791,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls) ),
    inference(split_conjunct,[status(thm)],[i_0_2437]),
    [final] ).

cnf(i_0_3792,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OPls)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Fields_Ofield__inverse__zero(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2438]),
    [final] ).

cnf(i_0_3793,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2343]),
    [final] ).

cnf(i_0_3794,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2439]),
    [final] ).

cnf(i_0_3795,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2440]),
    [final] ).

cnf(i_0_3796,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2441]),
    [final] ).

cnf(i_0_3797,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_2442]),
    [final] ).

cnf(i_0_3798,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rw,[status(thm)],[i_0_2443,c_0_1605]),
    [final] ).

cnf(i_0_3799,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rw,[status(thm)],[i_0_2444,c_0_1605]),
    [final] ).

cnf(i_0_3800,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rw,[status(thm)],[i_0_2445,c_0_1605]),
    [final] ).

cnf(i_0_3801,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[i_0_2446,c_0_1605]),
    [final] ).

cnf(i_0_3802,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[i_0_2447,c_0_1605]),
    [final] ).

cnf(i_0_3803,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[i_0_2448,c_0_1605]),
    [final] ).

cnf(i_0_3804,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2449]),
    [final] ).

cnf(i_0_3805,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2450]),
    [final] ).

cnf(i_0_3806,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2451]),
    [final] ).

cnf(i_0_3807,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2452]),
    [final] ).

cnf(i_0_3808,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2452]),
    [final] ).

cnf(i_0_3809,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2453]),
    [final] ).

cnf(i_0_3810,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rw,[status(thm)],[i_0_2454,c_0_1605]),
    [final] ).

cnf(i_0_3811,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[i_0_2455,c_0_1605]),
    [final] ).

cnf(i_0_3812,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X2))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2456]),
    [final] ).

cnf(i_0_3813,plain,
    ( c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2399]),
    [final] ).

cnf(i_0_3814,plain,
    ( c_Groups_Oplus__class_Oplus(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2400]),
    [final] ).

cnf(i_0_3815,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2457]),
    [final] ).

cnf(i_0_3816,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2458]),
    [final] ).

cnf(i_0_3817,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[i_0_2459]),
    [final] ).

cnf(i_0_3818,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[i_0_2460]),
    [final] ).

cnf(i_0_3819,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[i_0_2461]),
    [final] ).

cnf(i_0_3820,plain,
    ( hAPP(c_Polynomial_Opoly(X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2462]),
    [final] ).

cnf(i_0_3821,plain,
    ( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2463]),
    [final] ).

cnf(i_0_3822,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2464]),
    [final] ).

cnf(i_0_3823,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2412]),
    [final] ).

cnf(i_0_3824,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2412]),
    [final] ).

cnf(i_0_3825,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2465]),
    [final] ).

cnf(i_0_3826,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2466]),
    [final] ).

cnf(i_0_3827,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2352]),
    [final] ).

cnf(i_0_3828,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2355]),
    [final] ).

cnf(i_0_3829,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2357]),
    [final] ).

cnf(i_0_3830,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2) = X2
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2467]),
    [final] ).

cnf(i_0_3831,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2468]),
    [final] ).

cnf(i_0_3832,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2469]),
    [final] ).

cnf(i_0_3833,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk36_1(X1)),v_r),
    inference(split_conjunct,[status(thm)],[i_0_1342]),
    [final] ).

cnf(i_0_3834,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk34_1(X1)),v_r),
    inference(split_conjunct,[status(thm)],[i_0_1343]),
    [final] ).

cnf(i_0_3835,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_g____(X1)),v_r),
    inference(split_conjunct,[status(thm)],[i_0_2470]),
    [final] ).

cnf(i_0_3836,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,hAPP(X1,X2))
    | ~ c_SEQ_Osubseq(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2471]),
    [final] ).

cnf(i_0_3837,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(split_conjunct,[status(thm)],[i_0_2472]),
    [final] ).

cnf(i_0_3838,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk21_0)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk20_0),
    inference(split_conjunct,[status(thm)],[i_0_2473]),
    [final] ).

cnf(i_0_3839,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,c_Int_OPls),X2) = X2
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2474]),
    [final] ).

cnf(i_0_3840,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OPls)) = X2
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2475]),
    [final] ).

cnf(i_0_3841,plain,
    ( c_Int_OPls = X1
    | c_Int_OPls != c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1) ),
    inference(rw,[status(thm)],[i_0_2476,c_0_1544]),
    [final] ).

cnf(i_0_3842,plain,
    ( X1 = c_Int_OPls
    | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1) != c_Int_OPls ),
    inference(rw,[status(thm)],[i_0_2477,c_0_1544]),
    [final] ).

cnf(i_0_3843,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2373]),
    [final] ).

cnf(i_0_3844,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_2374]),
    [final] ).

cnf(i_0_3845,plain,
    ( c_Power_Opower__class_Opower(X2,c_Groups_Ozero__class_Ozero(X2),X1) = c_Groups_Oone__class_Oone(X2)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Osemiring__0(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2478]),
    [final] ).

cnf(i_0_3846,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)) = c_Groups_Ouminus__class_Ouminus(X1,c_Int_Onumber__class_Onumber__of(X1,X2))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2479]),
    [final] ).

cnf(i_0_3847,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2480]),
    [final] ).

cnf(i_0_3848,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_2481]),
    [final] ).

cnf(i_0_3849,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_2482]),
    [final] ).

cnf(i_0_3850,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Groups_Oabs__class_Oabs(X1,X2) = X2
    | ~ class_Groups_Oabs__if(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2364]),
    [final] ).

cnf(i_0_3851,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,c_Groups_Ozero__class_Ozero(X2),X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Osemiring__0(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2478]),
    [final] ).

cnf(i_0_3852,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1930]),
    [final] ).

cnf(i_0_3853,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2379]),
    [final] ).

cnf(i_0_3854,plain,
    ( c_Groups_Ominus__class_Ominus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2483]),
    [final] ).

cnf(i_0_3855,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r),
    inference(split_conjunct,[status(thm)],[fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096]),
    [final] ).

cnf(i_0_3856,plain,
    ( c_Rings_Oinverse__class_Odivide(X2,X4,X3) = X1
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2300]),
    [final] ).

cnf(i_0_3857,plain,
    ( X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2301]),
    [final] ).

cnf(i_0_3858,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),
    inference(split_conjunct,[status(thm)],[i_0_2484]),
    [final] ).

cnf(i_0_3859,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OPls),
    inference(split_conjunct,[status(thm)],[i_0_2485]),
    [final] ).

cnf(i_0_3860,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[i_0_2486]),
    [final] ).

cnf(i_0_3861,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2429]),
    [final] ).

cnf(i_0_3862,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)),
    inference(split_conjunct,[status(thm)],[fact_number__of2]),
    [final] ).

cnf(i_0_3863,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2436]),
    [final] ).

cnf(i_0_3864,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2437]),
    [final] ).

cnf(i_0_3865,plain,
    ( c_Rings_Oinverse__class_Odivide(X3,X1,X2) = c_Groups_Oone__class_Oone(X3)
    | X2 = c_Groups_Ozero__class_Ozero(X3)
    | X1 != X2
    | ~ class_Rings_Odivision__ring(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2415]),
    [final] ).

cnf(i_0_3866,plain,
    ( c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | X1 != c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2377]),
    [final] ).

cnf(i_0_3867,plain,
    ( c_Groups_Otimes__class_Otimes(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2409]),
    [final] ).

cnf(i_0_3868,plain,
    ( c_Groups_Otimes__class_Otimes(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2409]),
    [final] ).

cnf(i_0_3869,plain,
    ( c_Groups_Oplus__class_Oplus(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2423]),
    [final] ).

cnf(i_0_3870,plain,
    ( c_Rings_Oinverse__class_Odivide(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Odivision__ring__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2487]),
    [final] ).

cnf(i_0_3871,plain,
    ( c_Groups_Ozero__class_Ozero(X2) = c_Groups_Oplus__class_Oplus(X2,X1,X1)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2425]),
    [final] ).

cnf(i_0_3872,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oone__class_Oone(X1))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2488]),
    [final] ).

cnf(i_0_3873,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oone__class_Oone(X1))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2489]),
    [final] ).

cnf(i_0_3874,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2490]),
    [final] ).

cnf(i_0_3875,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2491]),
    [final] ).

cnf(i_0_3876,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Omult__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2492]),
    [final] ).

cnf(i_0_3877,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2493]),
    [final] ).

cnf(i_0_3878,plain,
    ( c_Power_Opower__class_Opower(X1,c_Groups_Oone__class_Oone(X1),X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2494]),
    [final] ).

cnf(i_0_3879,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2495]),
    [final] ).

cnf(i_0_3880,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2496]),
    [final] ).

cnf(i_0_3881,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2497]),
    [final] ).

cnf(i_0_3882,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2498]),
    [final] ).

cnf(i_0_3883,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Omult__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2499]),
    [final] ).

cnf(i_0_3884,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2500]),
    [final] ).

cnf(i_0_3885,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2501]),
    [final] ).

cnf(i_0_3886,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk21_0),v_r),
    inference(split_conjunct,[status(thm)],[i_0_2473]),
    [final] ).

cnf(i_0_3887,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),v_r),
    inference(split_conjunct,[status(thm)],[fact_wr]),
    [final] ).

cnf(i_0_3888,plain,
    ( X3 = c_Groups_Oplus__class_Oplus(X2,X3,X1)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2430]),
    [final] ).

cnf(i_0_3889,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Odivision__ring__inverse__zero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2487]),
    [final] ).

cnf(i_0_3890,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X2,X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2502]),
    [final] ).

cnf(i_0_3891,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),
    inference(split_conjunct,[status(thm)],[i_0_2503]),
    [final] ).

cnf(i_0_3892,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk3_1(X1),esk4_1(X1))
    | c_SEQ_Osubseq(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2212]),
    [final] ).

cnf(i_0_3893,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2403]),
    [final] ).

cnf(i_0_3894,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2404]),
    [final] ).

cnf(i_0_3895,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2405]),
    [final] ).

cnf(i_0_3896,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Nat__Transfer_Otsub(X2,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_2327]),
    [final] ).

cnf(i_0_3897,plain,
    ( c_Groups_Ominus__class_Ominus(X3,X1,X2) = c_Groups_Ozero__class_Ozero(X3)
    | X1 != X2
    | ~ class_Groups_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2427]),
    [final] ).

cnf(i_0_3898,plain,
    ( c_Groups_Ominus__class_Ominus(X3,X1,X2) = c_Groups_Ozero__class_Ozero(X3)
    | X1 != X2
    | ~ class_Groups_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2428]),
    [final] ).

cnf(i_0_3899,plain,
    ( hAPP(c_Polynomial_Opoly(X2,X1),X3) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | ~ class_Rings_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2268]),
    [final] ).

cnf(i_0_3900,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Power_Opower(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2504]),
    [final] ).

cnf(i_0_3901,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2505]),
    [final] ).

cnf(i_0_3902,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Oone__class_Oone(X1),X2) = X2
    | ~ class_Groups_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2506]),
    [final] ).

cnf(i_0_3903,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Oone__class_Oone(X1),X2) = X2
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2507]),
    [final] ).

cnf(i_0_3904,plain,
    ( c_Groups_Otimes__class_Otimes(X1,c_Groups_Oone__class_Oone(X1),X2) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2508]),
    [final] ).

cnf(i_0_3905,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = X2
    | ~ class_Groups_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2509]),
    [final] ).

cnf(i_0_3906,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = X2
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2510]),
    [final] ).

cnf(i_0_3907,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2511]),
    [final] ).

cnf(i_0_3908,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
    | ~ class_Groups_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2512]),
    [final] ).

cnf(i_0_3909,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2513]),
    [final] ).

cnf(i_0_3910,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2514]),
    [final] ).

cnf(i_0_3911,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
    | ~ class_Groups_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2515]),
    [final] ).

cnf(i_0_3912,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2516]),
    [final] ).

cnf(i_0_3913,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2517]),
    [final] ).

cnf(i_0_3914,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2518]),
    [final] ).

cnf(i_0_3915,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2519]),
    [final] ).

cnf(i_0_3916,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2452]),
    [final] ).

cnf(i_0_3917,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X2
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2520]),
    [final] ).

cnf(i_0_3918,plain,
    ( c_Power_Opower__class_Opower(X1,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2521]),
    [final] ).

cnf(i_0_3919,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2522]),
    [final] ).

cnf(i_0_3920,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2245]),
    [final] ).

cnf(i_0_3921,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 != X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2245]),
    [final] ).

cnf(i_0_3922,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_2523]),
    [final] ).

cnf(i_0_3923,plain,
    ( c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | X1 != X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2332]),
    [final] ).

cnf(i_0_3924,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X2) = X2
    | ~ class_Lattices_Oab__semigroup__idem__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2524]),
    [final] ).

cnf(i_0_3925,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X2) = X2
    | ~ class_Lattices_Oab__semigroup__idem__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2525]),
    [final] ).

cnf(i_0_3926,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2442]),
    [final] ).

cnf(i_0_3927,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2526]),
    [final] ).

cnf(i_0_3928,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[i_0_2527,c_0_1605]),
    [final] ).

cnf(i_0_3929,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Groups_Oabs__class_Oabs(X1,X2)) = c_Groups_Oabs__class_Oabs(X1,X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2528]),
    [final] ).

cnf(i_0_3930,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_Groups_Oabs__class_Oabs(X1,X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2529]),
    [final] ).

cnf(i_0_3931,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2530]),
    [final] ).

cnf(i_0_3932,plain,
    ( X2 = X3
    | c_Int_Onumber__class_Onumber__of(X1,X2) != c_Int_Onumber__class_Onumber__of(X1,X3)
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2531]),
    [final] ).

cnf(i_0_3933,plain,
    ( X2 = X3
    | c_Polynomial_Opoly(X1,X2) != c_Polynomial_Opoly(X1,X3)
    | ~ class_Int_Oring__char__0(X1)
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2532]),
    [final] ).

cnf(i_0_3934,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2533]),
    [final] ).

cnf(i_0_3935,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2439]),
    [final] ).

cnf(i_0_3936,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = X2
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1410]),
    [final] ).

cnf(i_0_3937,plain,
    ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2)) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2534]),
    [final] ).

cnf(i_0_3938,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(split_conjunct,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J]),
    [final] ).

cnf(i_0_3939,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(split_conjunct,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J]),
    [final] ).

cnf(i_0_3940,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(split_conjunct,[status(thm)],[fact_int__0__less__1]),
    [final] ).

cnf(i_0_3941,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_2535]),
    [final] ).

cnf(i_0_3942,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2536]),
    [final] ).

cnf(i_0_3943,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2537]),
    [final] ).

cnf(i_0_3944,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2538]),
    [final] ).

cnf(i_0_3945,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2539]),
    [final] ).

cnf(i_0_3946,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2540]),
    [final] ).

cnf(i_0_3947,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2541]),
    [final] ).

cnf(i_0_3948,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2353]),
    [final] ).

cnf(i_0_3949,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2362]),
    [final] ).

cnf(i_0_3950,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2542]),
    [final] ).

cnf(i_0_3951,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2356]),
    [final] ).

cnf(i_0_3952,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(split_conjunct,[status(thm)],[i_0_2543]),
    [final] ).

cnf(i_0_3953,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(split_conjunct,[status(thm)],[i_0_2544]),
    [final] ).

cnf(i_0_3954,plain,
    ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2545]),
    [final] ).

cnf(i_0_3955,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1) = c_Int_OPls
    | X1 != c_Int_OPls ),
    inference(rw,[status(thm)],[i_0_2546,c_0_1544]),
    [final] ).

cnf(i_0_3956,plain,
    ( c_Int_OPls = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)
    | c_Int_OPls != X1 ),
    inference(rw,[status(thm)],[i_0_2547,c_0_1544]),
    [final] ).

cnf(i_0_3957,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_2548]),
    [final] ).

cnf(i_0_3958,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r),
    inference(split_conjunct,[status(thm)],[fact_rp]),
    [final] ).

cnf(i_0_3959,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk2_0),
    inference(split_conjunct,[status(thm)],[i_0_1303]),
    [final] ).

cnf(i_0_3960,plain,
    ( X2 = X3
    | c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2549]),
    [final] ).

cnf(i_0_3961,plain,
    ( X2 = X3
    | c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2550]),
    [final] ).

cnf(i_0_3962,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_2551]),
    [final] ).

cnf(i_0_3963,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_2552]),
    [final] ).

cnf(i_0_3964,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_2553]),
    [final] ).

cnf(i_0_3965,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2554]),
    [final] ).

cnf(i_0_3966,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2555]),
    [final] ).

cnf(i_0_3967,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2556]),
    [final] ).

cnf(i_0_3968,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls),
    inference(split_conjunct,[status(thm)],[fact_rel__simps_I19_J]),
    [final] ).

cnf(i_0_3969,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls) = c_Int_OPls,
    inference(rw,[status(thm)],[i_0_2557,c_0_1544]),
    [final] ).

cnf(i_0_3970,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2558]),
    [final] ).

cnf(i_0_3971,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2559]),
    [final] ).

cnf(i_0_3972,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)) = c_RealDef_Oreal(tc_Nat_Onat,X1),
    inference(split_conjunct,[status(thm)],[i_0_2560]),
    [final] ).

cnf(i_0_3973,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X3) = X2
    | c_Groups_Ouminus__class_Ouminus(X1,X2) != X3
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2561]),
    [final] ).

cnf(i_0_3974,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X3) = X2
    | c_Groups_Ouminus__class_Ouminus(X1,X2) != X3
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2561]),
    [final] ).

cnf(i_0_3975,plain,
    ( X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2562]),
    [final] ).

cnf(i_0_3976,plain,
    ( X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2562]),
    [final] ).

cnf(i_0_3977,plain,
    c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1)),
    inference(split_conjunct,[status(thm)],[i_0_2563]),
    [final] ).

cnf(i_0_3978,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Groups_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2564]),
    [final] ).

cnf(i_0_3979,plain,
    ( c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Int_OPls))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2565]),
    [final] ).

cnf(i_0_3980,plain,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | ~ class_Groups_Ozero(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2564]),
    [final] ).

cnf(i_0_3981,plain,
    ( X1 = X2
    | c_RealDef_Oreal(tc_Nat_Onat,X1) != c_RealDef_Oreal(tc_Nat_Onat,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2566]),
    [final] ).

cnf(i_0_3982,plain,
    ( c_Groups_Ozero__class_Ozero(X1) = X2
    | c_Groups_Ozero__class_Ozero(X1) != c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2567]),
    [final] ).

cnf(i_0_3983,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Oabs__class_Oabs(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2568]),
    [final] ).

cnf(i_0_3984,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2569]),
    [final] ).

cnf(i_0_3985,plain,
    ( ~ class_Rings_Osemiring__1(X1)
    | ~ c_Int_Oiszero(X1,c_Groups_Oone__class_Oone(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2570]),
    [final] ).

cnf(i_0_3986,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_RealVector_Onorm__class_Onorm(X1,X2) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2571]),
    [final] ).

cnf(i_0_3987,plain,
    ( class_Groups_Ouminus(tc_fun(X2,X1))
    | ~ class_Groups_Ouminus(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2572]),
    [final] ).

cnf(i_0_3988,plain,
    ( class_Groups_Ominus(tc_fun(X2,X1))
    | ~ class_Groups_Ominus(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2573]),
    [final] ).

cnf(i_0_3989,plain,
    ( class_Orderings_Oord(tc_fun(X2,X1))
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2574]),
    [final] ).

cnf(i_0_3990,plain,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2575]),
    [final] ).

cnf(i_0_3991,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2576]),
    [final] ).

cnf(i_0_3992,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2577]),
    [final] ).

cnf(i_0_3993,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2578]),
    [final] ).

cnf(i_0_3994,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,X2) != X2
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2579]),
    [final] ).

cnf(i_0_3995,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2580]),
    [final] ).

cnf(i_0_3996,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ c_Int_Oiszero(X1,X2)
    | ~ class_Rings_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2581]),
    [final] ).

cnf(i_0_3997,plain,
    ( c_Groups_Oabs__class_Oabs(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2568]),
    [final] ).

cnf(i_0_3998,plain,
    ( c_Groups_Ouminus__class_Ouminus(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2569]),
    [final] ).

cnf(i_0_3999,plain,
    ( c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | c_Groups_Ozero__class_Ozero(X1) != X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2567]),
    [final] ).

cnf(i_0_4000,plain,
    ( c_RealVector_Onorm__class_Onorm(X2,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2571]),
    [final] ).

cnf(i_0_4001,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Groups_Oone__class_Oone(X1)) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2582]),
    [final] ).

cnf(i_0_4002,plain,
    ( c_Groups_Oabs__class_Oabs(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2583]),
    [final] ).

cnf(i_0_4003,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2584]),
    [final] ).

cnf(i_0_4004,plain,
    ( c_Groups_Ouminus__class_Ouminus(X2,X1) = X1
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2579]),
    [final] ).

cnf(i_0_4005,plain,
    ( X1 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2580]),
    [final] ).

cnf(i_0_4006,plain,
    ( c_Int_Oiszero(X2,X1)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Osemiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2581]),
    [final] ).

cnf(i_0_4007,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oone__class_Oone(X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2585]),
    [final] ).

cnf(i_0_4008,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2586]),
    [final] ).

cnf(i_0_4009,plain,
    c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X1)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2587]),
    [final] ).

cnf(i_0_4010,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_RealDef_Oreal(tc_Nat_Onat,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2588]),
    [final] ).

cnf(i_0_4011,plain,
    ( c_Int_Oiszero(X1,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2589]),
    [final] ).

cnf(i_0_4012,plain,
    c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
    inference(split_conjunct,[status(thm)],[i_0_2590]),
    [final] ).

cnf(i_0_4013,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Int_OPls) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2591]),
    [final] ).

cnf(i_0_4014,plain,
    ( c_Groups_Ozero__class_Ozero(X1) = c_Int_Onumber__class_Onumber__of(X1,c_Int_OPls)
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2592]),
    [final] ).

cnf(i_0_4015,plain,
    ( c_RealDef_Oreal(tc_Nat_Onat,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2588]),
    [final] ).

cnf(i_0_4016,plain,
    ( ~ class_Rings_Ozero__neq__one(X1)
    | c_Groups_Oone__class_Oone(X1) != c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2593]),
    [final] ).

cnf(i_0_4017,plain,
    ( ~ class_Rings_Ozero__neq__one(X1)
    | c_Groups_Ozero__class_Ozero(X1) != c_Groups_Oone__class_Oone(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2594]),
    [final] ).

cnf(i_0_4018,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_real__of__nat__1]),
    [final] ).

cnf(i_0_4019,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_real__of__nat__zero]),
    [final] ).

cnf(i_0_4020,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[fact_zminus__0]),
    [final] ).

cnf(i_0_4021,plain,
    ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocancel__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2595]),
    [final] ).

cnf(i_0_4022,plain,
    ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2596]),
    [final] ).

cnf(i_0_4023,plain,
    ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2597]),
    [final] ).

cnf(i_0_4024,plain,
    ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2598]),
    [final] ).

cnf(i_0_4025,plain,
    ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2599]),
    [final] ).

cnf(i_0_4026,plain,
    ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2600]),
    [final] ).

cnf(i_0_4027,plain,
    ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2601]),
    [final] ).

cnf(i_0_4028,plain,
    ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2602]),
    [final] ).

cnf(i_0_4029,plain,
    ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2603]),
    [final] ).

cnf(i_0_4030,plain,
    ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2604]),
    [final] ).

cnf(i_0_4031,plain,
    ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2605]),
    [final] ).

cnf(i_0_4032,plain,
    ( class_Rings_Oring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2606]),
    [final] ).

cnf(i_0_4033,plain,
    ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2607]),
    [final] ).

cnf(i_0_4034,plain,
    ( class_Rings_Osemiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2608]),
    [final] ).

cnf(i_0_4035,plain,
    ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2609]),
    [final] ).

cnf(i_0_4036,plain,
    ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2610]),
    [final] ).

cnf(i_0_4037,plain,
    ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2611]),
    [final] ).

cnf(i_0_4038,plain,
    ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2612]),
    [final] ).

cnf(i_0_4039,plain,
    ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2613]),
    [final] ).

cnf(i_0_4040,plain,
    ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2614]),
    [final] ).

cnf(i_0_4041,plain,
    ( class_Power_Opower(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2615]),
    [final] ).

cnf(i_0_4042,plain,
    ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2616]),
    [final] ).

cnf(i_0_4043,plain,
    ( class_Rings_Oring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2617]),
    [final] ).

cnf(i_0_4044,plain,
    ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2618]),
    [final] ).

cnf(i_0_4045,plain,
    ( class_Rings_Osemiring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2619]),
    [final] ).

cnf(i_0_4046,plain,
    ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2620]),
    [final] ).

cnf(i_0_4047,plain,
    ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2621]),
    [final] ).

cnf(i_0_4048,plain,
    ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2622]),
    [final] ).

cnf(i_0_4049,plain,
    ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2623]),
    [final] ).

cnf(i_0_4050,plain,
    ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2624]),
    [final] ).

cnf(i_0_4051,plain,
    ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2625]),
    [final] ).

cnf(i_0_4052,plain,
    ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocancel__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2626]),
    [final] ).

cnf(i_0_4053,plain,
    ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocancel__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2627]),
    [final] ).

cnf(i_0_4054,plain,
    ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2628]),
    [final] ).

cnf(i_0_4055,plain,
    ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2629]),
    [final] ).

cnf(i_0_4056,plain,
    ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2630]),
    [final] ).

cnf(i_0_4057,plain,
    ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2631]),
    [final] ).

cnf(i_0_4058,plain,
    ( class_Groups_Oone(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2632]),
    [final] ).

cnf(i_0_4059,plain,
    ( class_Groups_Ouminus(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2633]),
    [final] ).

cnf(i_0_4060,plain,
    ( class_Groups_Ominus(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2634]),
    [final] ).

cnf(i_0_4061,plain,
    ( class_Orderings_Oord(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2635]),
    [final] ).

cnf(i_0_4062,plain,
    ( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2636]),
    [final] ).

cnf(i_0_4063,plain,
    ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2637]),
    [final] ).

cnf(i_0_4064,plain,
    ( class_Rings_Oidom(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2638]),
    [final] ).

cnf(i_0_4065,plain,
    ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2639]),
    [final] ).

cnf(i_0_4066,plain,
    ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2640]),
    [final] ).

cnf(i_0_4067,plain,
    ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2641]),
    [final] ).

cnf(i_0_4068,plain,
    ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2642]),
    [final] ).

cnf(i_0_4069,plain,
    ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2643]),
    [final] ).

cnf(i_0_4070,plain,
    ( class_Groups_Ozero(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2644]),
    [final] ).

cnf(i_0_4071,plain,
    ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2645]),
    [final] ).

cnf(i_0_4072,plain,
    ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2646]),
    [final] ).

cnf(i_0_4073,plain,
    ( class_Groups_Oabs__if(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2647]),
    [final] ).

cnf(i_0_4074,plain,
    ( class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2648]),
    [final] ).

cnf(i_0_4075,plain,
    ( class_Int_Onumber(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2649]),
    [final] ).

cnf(i_0_4076,plain,
    ( class_Int_Oring__char__0(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2650]),
    [final] ).

cnf(i_0_4077,plain,
    ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2651]),
    [final] ).

cnf(i_0_4078,plain,
    ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2652]),
    [final] ).

cnf(i_0_4079,plain,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2653]),
    [final] ).

cnf(i_0_4080,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2654]),
    [final] ).

cnf(i_0_4081,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2655]),
    [final] ).

cnf(i_0_4082,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[fact_nat__number__of__Pls]),
    [final] ).

cnf(i_0_4083,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),
    inference(split_conjunct,[status(thm)],[fact_semiring__norm_I113_J]),
    [final] ).

cnf(i_0_4084,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),
    inference(split_conjunct,[status(thm)],[fact_zero__is__num__zero]),
    [final] ).

cnf(i_0_4085,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2656]),
    [final] ).

cnf(i_0_4086,plain,
    ( c_NthRoot_Osqrt(X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2654]),
    [final] ).

cnf(i_0_4087,plain,
    ( c_NthRoot_Osqrt(X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2655]),
    [final] ).

cnf(i_0_4088,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls) = c_Int_OPls,
    inference(split_conjunct,[status(thm)],[fact_minus__Pls]),
    [final] ).

cnf(i_0_4089,plain,
    c_NthRoot_Osqrt(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_real__sqrt__one]),
    [final] ).

cnf(i_0_4090,plain,
    c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_real__sqrt__zero]),
    [final] ).

cnf(i_0_4091,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[fact_int__0__neq__1]),
    [final] ).

cnf(i_0_4092,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_real__zero__not__eq__one]),
    [final] ).

cnf(i_0_4093,plain,
    class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocancel__comm__monoid__add]),
    [final] ).

cnf(i_0_4094,plain,
    class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocancel__comm__monoid__add]),
    [final] ).

cnf(i_0_4095,plain,
    class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add]),
    [final] ).

cnf(i_0_4096,plain,
    class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add]),
    [final] ).

cnf(i_0_4097,plain,
    class_Groups_Ocomm__monoid__mult(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocomm__monoid__mult]),
    [final] ).

cnf(i_0_4098,plain,
    class_Groups_Ocomm__monoid__mult(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocomm__monoid__mult]),
    [final] ).

cnf(i_0_4099,plain,
    class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult]),
    [final] ).

cnf(i_0_4100,plain,
    class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ocomm__monoid__mult]),
    [final] ).

cnf(i_0_4101,plain,
    class_Rings_Oordered__comm__semiring(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Oordered__comm__semiring]),
    [final] ).

cnf(i_0_4102,plain,
    class_Rings_Oordered__comm__semiring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__comm__semiring]),
    [final] ).

cnf(i_0_4103,plain,
    class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oordered__comm__semiring]),
    [final] ).

cnf(i_0_4104,plain,
    class_Rings_Oordered__semiring(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Oordered__semiring]),
    [final] ).

cnf(i_0_4105,plain,
    class_Rings_Oordered__semiring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__semiring]),
    [final] ).

cnf(i_0_4106,plain,
    class_Rings_Oordered__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oordered__semiring]),
    [final] ).

cnf(i_0_4107,plain,
    class_Rings_Oordered__ring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__ring]),
    [final] ).

cnf(i_0_4108,plain,
    class_Rings_Oordered__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oordered__ring]),
    [final] ).

cnf(i_0_4109,plain,
    class_Rings_Oordered__cancel__semiring(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Oordered__cancel__semiring]),
    [final] ).

cnf(i_0_4110,plain,
    class_Rings_Oordered__cancel__semiring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__cancel__semiring]),
    [final] ).

cnf(i_0_4111,plain,
    class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oordered__cancel__semiring]),
    [final] ).

cnf(i_0_4112,plain,
    class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict]),
    [final] ).

cnf(i_0_4113,plain,
    class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__comm__semiring__strict]),
    [final] ).

cnf(i_0_4114,plain,
    class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict]),
    [final] ).

cnf(i_0_4115,plain,
    class_Rings_Olinordered__semiring__strict(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__semiring__strict]),
    [final] ).

cnf(i_0_4116,plain,
    class_Rings_Olinordered__semiring__strict(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semiring__strict]),
    [final] ).

cnf(i_0_4117,plain,
    class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semiring__strict]),
    [final] ).

cnf(i_0_4118,plain,
    class_Rings_Olinordered__ring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__ring]),
    [final] ).

cnf(i_0_4119,plain,
    class_Rings_Olinordered__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__ring]),
    [final] ).

cnf(i_0_4120,plain,
    class_Rings_Oring__no__zero__divisors(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring__no__zero__divisors]),
    [final] ).

cnf(i_0_4121,plain,
    class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors]),
    [final] ).

cnf(i_0_4122,plain,
    class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oring__no__zero__divisors]),
    [final] ).

cnf(i_0_4123,plain,
    class_Groups_Oab__semigroup__mult(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oab__semigroup__mult]),
    [final] ).

cnf(i_0_4124,plain,
    class_Groups_Oab__semigroup__mult(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oab__semigroup__mult]),
    [final] ).

cnf(i_0_4125,plain,
    class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oab__semigroup__mult]),
    [final] ).

cnf(i_0_4126,plain,
    class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oab__semigroup__mult]),
    [final] ).

cnf(i_0_4127,plain,
    class_Rings_Oring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring]),
    [final] ).

cnf(i_0_4128,plain,
    class_Rings_Oring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring]),
    [final] ).

cnf(i_0_4129,plain,
    class_Rings_Oring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oring]),
    [final] ).

cnf(i_0_4130,plain,
    class_Rings_Olinordered__ring__strict(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__ring__strict]),
    [final] ).

cnf(i_0_4131,plain,
    class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__ring__strict]),
    [final] ).

cnf(i_0_4132,plain,
    class_Rings_Osemiring(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Osemiring]),
    [final] ).

cnf(i_0_4133,plain,
    class_Rings_Osemiring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Osemiring]),
    [final] ).

cnf(i_0_4134,plain,
    class_Rings_Osemiring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Osemiring]),
    [final] ).

cnf(i_0_4135,plain,
    class_Rings_Osemiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Osemiring]),
    [final] ).

cnf(i_0_4136,plain,
    class_Rings_Ocomm__semiring(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ocomm__semiring]),
    [final] ).

cnf(i_0_4137,plain,
    class_Rings_Ocomm__semiring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__semiring]),
    [final] ).

cnf(i_0_4138,plain,
    class_Rings_Ocomm__semiring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring]),
    [final] ).

cnf(i_0_4139,plain,
    class_Rings_Ocomm__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring]),
    [final] ).

cnf(i_0_4140,plain,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra]),
    [final] ).

cnf(i_0_4141,plain,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Oreal__normed__algebra]),
    [final] ).

cnf(i_0_4142,plain,
    class_Rings_Ocomm__ring__1(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__ring__1]),
    [final] ).

cnf(i_0_4143,plain,
    class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__ring__1]),
    [final] ).

cnf(i_0_4144,plain,
    class_Rings_Ocomm__ring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__ring__1]),
    [final] ).

cnf(i_0_4145,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]),
    [final] ).

cnf(i_0_4146,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]),
    [final] ).

cnf(i_0_4147,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]),
    [final] ).

cnf(i_0_4148,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]),
    [final] ).

cnf(i_0_4149,plain,
    class_Rings_Osemiring__0(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Osemiring__0]),
    [final] ).

cnf(i_0_4150,plain,
    class_Rings_Osemiring__0(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Osemiring__0]),
    [final] ).

cnf(i_0_4151,plain,
    class_Rings_Osemiring__0(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Osemiring__0]),
    [final] ).

cnf(i_0_4152,plain,
    class_Rings_Osemiring__0(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Osemiring__0]),
    [final] ).

cnf(i_0_4153,plain,
    class_Rings_Ono__zero__divisors(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ono__zero__divisors]),
    [final] ).

cnf(i_0_4154,plain,
    class_Rings_Ono__zero__divisors(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ono__zero__divisors]),
    [final] ).

cnf(i_0_4155,plain,
    class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ono__zero__divisors]),
    [final] ).

cnf(i_0_4156,plain,
    class_Rings_Ono__zero__divisors(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ono__zero__divisors]),
    [final] ).

cnf(i_0_4157,plain,
    class_Rings_Omult__zero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Omult__zero]),
    [final] ).

cnf(i_0_4158,plain,
    class_Rings_Omult__zero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Omult__zero]),
    [final] ).

cnf(i_0_4159,plain,
    class_Rings_Omult__zero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Omult__zero]),
    [final] ).

cnf(i_0_4160,plain,
    class_Rings_Omult__zero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Omult__zero]),
    [final] ).

cnf(i_0_4161,plain,
    class_Power_Opower(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Power_Opower]),
    [final] ).

cnf(i_0_4162,plain,
    class_Power_Opower(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Power_Opower]),
    [final] ).

cnf(i_0_4163,plain,
    class_Power_Opower(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Power_Opower]),
    [final] ).

cnf(i_0_4164,plain,
    class_Power_Opower(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Power_Opower]),
    [final] ).

cnf(i_0_4165,plain,
    class_Groups_Omonoid__mult(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Omonoid__mult]),
    [final] ).

cnf(i_0_4166,plain,
    class_Groups_Omonoid__mult(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Omonoid__mult]),
    [final] ).

cnf(i_0_4167,plain,
    class_Groups_Omonoid__mult(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Omonoid__mult]),
    [final] ).

cnf(i_0_4168,plain,
    class_Groups_Omonoid__mult(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Omonoid__mult]),
    [final] ).

cnf(i_0_4169,plain,
    class_Rings_Oring__1(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring__1]),
    [final] ).

cnf(i_0_4170,plain,
    class_Rings_Oring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring__1]),
    [final] ).

cnf(i_0_4171,plain,
    class_Rings_Oring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oring__1]),
    [final] ).

cnf(i_0_4172,plain,
    class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring__1__no__zero__divisors]),
    [final] ).

cnf(i_0_4173,plain,
    class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors]),
    [final] ).

cnf(i_0_4174,plain,
    class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors]),
    [final] ).

cnf(i_0_4175,plain,
    class_Rings_Osemiring__1(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Osemiring__1]),
    [final] ).

cnf(i_0_4176,plain,
    class_Rings_Osemiring__1(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Osemiring__1]),
    [final] ).

cnf(i_0_4177,plain,
    class_Rings_Osemiring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Osemiring__1]),
    [final] ).

cnf(i_0_4178,plain,
    class_Rings_Osemiring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Osemiring__1]),
    [final] ).

cnf(i_0_4179,plain,
    class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oordered__comm__monoid__add]),
    [final] ).

cnf(i_0_4180,plain,
    class_Groups_Oordered__comm__monoid__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__comm__monoid__add]),
    [final] ).

cnf(i_0_4181,plain,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add]),
    [final] ).

cnf(i_0_4182,plain,
    class_Groups_Omonoid__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Omonoid__add]),
    [final] ).

cnf(i_0_4183,plain,
    class_Groups_Omonoid__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Omonoid__add]),
    [final] ).

cnf(i_0_4184,plain,
    class_Groups_Omonoid__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Omonoid__add]),
    [final] ).

cnf(i_0_4185,plain,
    class_Groups_Omonoid__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Omonoid__add]),
    [final] ).

cnf(i_0_4186,plain,
    class_Groups_Ocomm__monoid__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocomm__monoid__add]),
    [final] ).

cnf(i_0_4187,plain,
    class_Groups_Ocomm__monoid__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocomm__monoid__add]),
    [final] ).

cnf(i_0_4188,plain,
    class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocomm__monoid__add]),
    [final] ).

cnf(i_0_4189,plain,
    class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ocomm__monoid__add]),
    [final] ).

cnf(i_0_4190,plain,
    class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oordered__ab__semigroup__add]),
    [final] ).

cnf(i_0_4191,plain,
    class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__ab__semigroup__add]),
    [final] ).

cnf(i_0_4192,plain,
    class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add]),
    [final] ).

cnf(i_0_4193,plain,
    class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add]),
    [final] ).

cnf(i_0_4194,plain,
    class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add]),
    [final] ).

cnf(i_0_4195,plain,
    class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add]),
    [final] ).

cnf(i_0_4196,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le]),
    [final] ).

cnf(i_0_4197,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le]),
    [final] ).

cnf(i_0_4198,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le]),
    [final] ).

cnf(i_0_4199,plain,
    class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add]),
    [final] ).

cnf(i_0_4200,plain,
    class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocancel__ab__semigroup__add]),
    [final] ).

cnf(i_0_4201,plain,
    class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add]),
    [final] ).

cnf(i_0_4202,plain,
    class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add]),
    [final] ).

cnf(i_0_4203,plain,
    class_Groups_Ocancel__semigroup__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocancel__semigroup__add]),
    [final] ).

cnf(i_0_4204,plain,
    class_Groups_Ocancel__semigroup__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocancel__semigroup__add]),
    [final] ).

cnf(i_0_4205,plain,
    class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add]),
    [final] ).

cnf(i_0_4206,plain,
    class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ocancel__semigroup__add]),
    [final] ).

cnf(i_0_4207,plain,
    class_Groups_Oab__semigroup__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oab__semigroup__add]),
    [final] ).

cnf(i_0_4208,plain,
    class_Groups_Oab__semigroup__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oab__semigroup__add]),
    [final] ).

cnf(i_0_4209,plain,
    class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oab__semigroup__add]),
    [final] ).

cnf(i_0_4210,plain,
    class_Groups_Oab__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oab__semigroup__add]),
    [final] ).

cnf(i_0_4211,plain,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]),
    [final] ).

cnf(i_0_4212,plain,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra]),
    [final] ).

cnf(i_0_4213,plain,
    class_Rings_Olinordered__semidom(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__semidom]),
    [final] ).

cnf(i_0_4214,plain,
    class_Rings_Olinordered__semidom(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semidom]),
    [final] ).

cnf(i_0_4215,plain,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semidom]),
    [final] ).

cnf(i_0_4216,plain,
    class_Rings_Ozero__neq__one(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ozero__neq__one]),
    [final] ).

cnf(i_0_4217,plain,
    class_Rings_Ozero__neq__one(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ozero__neq__one]),
    [final] ).

cnf(i_0_4218,plain,
    class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ozero__neq__one]),
    [final] ).

cnf(i_0_4219,plain,
    class_Rings_Ozero__neq__one(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ozero__neq__one]),
    [final] ).

cnf(i_0_4220,plain,
    class_Rings_Ocomm__semiring__1(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ocomm__semiring__1]),
    [final] ).

cnf(i_0_4221,plain,
    class_Rings_Ocomm__semiring__1(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__semiring__1]),
    [final] ).

cnf(i_0_4222,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]),
    [final] ).

cnf(i_0_4223,plain,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]),
    [final] ).

cnf(i_0_4224,plain,
    class_Groups_Oone(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oone]),
    [final] ).

cnf(i_0_4225,plain,
    class_Groups_Oone(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oone]),
    [final] ).

cnf(i_0_4226,plain,
    class_Groups_Oone(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oone]),
    [final] ).

cnf(i_0_4227,plain,
    class_Groups_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oone]),
    [final] ).

cnf(i_0_4228,plain,
    class_Groups_Ouminus(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Groups_Ouminus]),
    [final] ).

cnf(i_0_4229,plain,
    class_Groups_Ouminus(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ouminus]),
    [final] ).

cnf(i_0_4230,plain,
    class_Groups_Ouminus(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ouminus]),
    [final] ).

cnf(i_0_4231,plain,
    class_Groups_Ouminus(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ouminus]),
    [final] ).

cnf(i_0_4232,plain,
    class_Groups_Ominus(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Groups_Ominus]),
    [final] ).

cnf(i_0_4233,plain,
    class_Groups_Ominus(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ominus]),
    [final] ).

cnf(i_0_4234,plain,
    class_Groups_Ominus(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ominus]),
    [final] ).

cnf(i_0_4235,plain,
    class_Groups_Ominus(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ominus]),
    [final] ).

cnf(i_0_4236,plain,
    class_Groups_Ominus(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ominus]),
    [final] ).

cnf(i_0_4237,plain,
    class_Orderings_Oord(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Oord]),
    [final] ).

cnf(i_0_4238,plain,
    class_Orderings_Oord(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Oord]),
    [final] ).

cnf(i_0_4239,plain,
    class_Orderings_Oord(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Oord]),
    [final] ).

cnf(i_0_4240,plain,
    class_Orderings_Oord(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oord]),
    [final] ).

cnf(i_0_4241,plain,
    class_Lattices_Oboolean__algebra(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Oboolean__algebra]),
    [final] ).

cnf(i_0_4242,plain,
    class_Orderings_Oorder(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Oorder]),
    [final] ).

cnf(i_0_4243,plain,
    class_Orderings_Oorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Oorder]),
    [final] ).

cnf(i_0_4244,plain,
    class_Orderings_Oorder(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Oorder]),
    [final] ).

cnf(i_0_4245,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oorder]),
    [final] ).

cnf(i_0_4246,plain,
    class_Orderings_Opreorder(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Opreorder]),
    [final] ).

cnf(i_0_4247,plain,
    class_Orderings_Opreorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Opreorder]),
    [final] ).

cnf(i_0_4248,plain,
    class_Orderings_Opreorder(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Opreorder]),
    [final] ).

cnf(i_0_4249,plain,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]),
    [final] ).

cnf(i_0_4250,plain,
    class_Rings_Oidom(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oidom]),
    [final] ).

cnf(i_0_4251,plain,
    class_Rings_Oidom(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]),
    [final] ).

cnf(i_0_4252,plain,
    class_Rings_Oidom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oidom]),
    [final] ).

cnf(i_0_4253,plain,
    class_Orderings_Olinorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Olinorder]),
    [final] ).

cnf(i_0_4254,plain,
    class_Orderings_Olinorder(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Olinorder]),
    [final] ).

cnf(i_0_4255,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]),
    [final] ).

cnf(i_0_4256,plain,
    class_Rings_Ocomm__semiring__0(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ocomm__semiring__0]),
    [final] ).

cnf(i_0_4257,plain,
    class_Rings_Ocomm__semiring__0(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__semiring__0]),
    [final] ).

cnf(i_0_4258,plain,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]),
    [final] ).

cnf(i_0_4259,plain,
    class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__0]),
    [final] ).

cnf(i_0_4260,plain,
    class_Rings_Ocomm__ring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__ring]),
    [final] ).

cnf(i_0_4261,plain,
    class_Rings_Ocomm__ring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__ring]),
    [final] ).

cnf(i_0_4262,plain,
    class_Rings_Ocomm__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__ring]),
    [final] ).

cnf(i_0_4263,plain,
    class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero]),
    [final] ).

cnf(i_0_4264,plain,
    class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero]),
    [final] ).

cnf(i_0_4265,plain,
    class_Groups_Oordered__ab__group__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__ab__group__add]),
    [final] ).

cnf(i_0_4266,plain,
    class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add]),
    [final] ).

cnf(i_0_4267,plain,
    class_Groups_Oab__group__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oab__group__add]),
    [final] ).

cnf(i_0_4268,plain,
    class_Groups_Oab__group__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oab__group__add]),
    [final] ).

cnf(i_0_4269,plain,
    class_Groups_Oab__group__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oab__group__add]),
    [final] ).

cnf(i_0_4270,plain,
    class_Groups_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ozero]),
    [final] ).

cnf(i_0_4271,plain,
    class_Groups_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ozero]),
    [final] ).

cnf(i_0_4272,plain,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]),
    [final] ).

cnf(i_0_4273,plain,
    class_Groups_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ozero]),
    [final] ).

cnf(i_0_4274,plain,
    class_Groups_Olinordered__ab__group__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Olinordered__ab__group__add]),
    [final] ).

cnf(i_0_4275,plain,
    class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Olinordered__ab__group__add]),
    [final] ).

cnf(i_0_4276,plain,
    class_Groups_Ogroup__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ogroup__add]),
    [final] ).

cnf(i_0_4277,plain,
    class_Groups_Ogroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ogroup__add]),
    [final] ).

cnf(i_0_4278,plain,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ogroup__add]),
    [final] ).

cnf(i_0_4279,plain,
    class_Rings_Odivision__ring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odivision__ring]),
    [final] ).

cnf(i_0_4280,plain,
    class_Rings_Odivision__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Odivision__ring]),
    [final] ).

cnf(i_0_4281,plain,
    class_Groups_Oabs__if(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oabs__if]),
    [final] ).

cnf(i_0_4282,plain,
    class_Groups_Oabs__if(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oabs__if]),
    [final] ).

cnf(i_0_4283,plain,
    class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__ab__group__add__abs]),
    [final] ).

cnf(i_0_4284,plain,
    class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs]),
    [final] ).

cnf(i_0_4285,plain,
    class_Fields_Olinordered__field(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field]),
    [final] ).

cnf(i_0_4286,plain,
    class_Int_Onumber(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Int_Onumber]),
    [final] ).

cnf(i_0_4287,plain,
    class_Int_Onumber(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Int_Onumber]),
    [final] ).

cnf(i_0_4288,plain,
    class_Int_Onumber(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Int_Onumber]),
    [final] ).

cnf(i_0_4289,plain,
    class_Int_Onumber(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Int_Onumber]),
    [final] ).

cnf(i_0_4290,plain,
    class_Int_Oring__char__0(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Int_Oring__char__0]),
    [final] ).

cnf(i_0_4291,plain,
    class_Int_Oring__char__0(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Int_Oring__char__0]),
    [final] ).

cnf(i_0_4292,plain,
    class_Int_Oring__char__0(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Int_Oring__char__0]),
    [final] ).

cnf(i_0_4293,plain,
    class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield__inverse__zero]),
    [final] ).

cnf(i_0_4294,plain,
    class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Ofield__inverse__zero]),
    [final] ).

cnf(i_0_4295,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]),
    [final] ).

cnf(i_0_4296,plain,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Oreal__normed__vector]),
    [final] ).

cnf(i_0_4297,plain,
    class_Fields_Ofield(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]),
    [final] ).

cnf(i_0_4298,plain,
    class_Fields_Ofield(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Ofield]),
    [final] ).

cnf(i_0_4299,plain,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__field]),
    [final] ).

cnf(i_0_4300,plain,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Oreal__normed__field]),
    [final] ).

cnf(i_0_4301,plain,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1]),
    [final] ).

cnf(i_0_4302,plain,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1]),
    [final] ).

cnf(i_0_4303,plain,
    class_Rings_Olinordered__idom(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__idom]),
    [final] ).

cnf(i_0_4304,plain,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__idom]),
    [final] ).

cnf(i_0_4305,plain,
    class_Int_Onumber__ring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Int_Onumber__ring]),
    [final] ).

cnf(i_0_4306,plain,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Int_Onumber__ring]),
    [final] ).

cnf(i_0_4307,plain,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Int_Onumber__ring]),
    [final] ).

cnf(i_0_4308,plain,
    class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]),
    [final] ).

cnf(i_0_4309,plain,
    c_SEQ_Osubseq(v_f____),
    inference(split_conjunct,[status(thm)],[fact_fz_I1_J]),
    [final] ).

cnf(i_0_4310,plain,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[fact_Pls__def]),
    [final] ).

cnf(i_0_4311,negated_conjecture,
    ~ v_thesis____,
    inference(split_conjunct,[status(thm)],[i_0_2657]),
    [final] ).

cnf(i_0_4312,axiom,
    X1 = X1 ).

cnf(i_0_4313,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_4314,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_4315,axiom,
    ( X1 != X2
    | c_NthRoot_Osqrt(X1) = c_NthRoot_Osqrt(X2) ) ).

cnf(i_0_4316,axiom,
    ( X1 != X2
    | c_Groups_Ouminus__class_Ouminus(X1,X3) = c_Groups_Ouminus__class_Ouminus(X2,X3) ) ).

cnf(i_0_4317,axiom,
    ( X1 != X2
    | c_Groups_Ouminus__class_Ouminus(X3,X1) = c_Groups_Ouminus__class_Ouminus(X3,X2) ) ).

cnf(i_0_4318,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).

cnf(i_0_4319,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).

cnf(i_0_4320,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X1,X3,X4) = c_Groups_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_4321,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X3,X1,X4) = c_Groups_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_4322,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X3,X4,X1) = c_Groups_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_4323,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_4324,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_4325,axiom,
    ( X1 != X2
    | c_Polynomial_Opoly(X1,X3) = c_Polynomial_Opoly(X2,X3) ) ).

cnf(i_0_4326,axiom,
    ( X1 != X2
    | c_Polynomial_Opoly(X3,X1) = c_Polynomial_Opoly(X3,X2) ) ).

cnf(i_0_4327,axiom,
    ( X1 != X2
    | c_RealDef_Oreal(X1,X3) = c_RealDef_Oreal(X2,X3) ) ).

cnf(i_0_4328,axiom,
    ( X1 != X2
    | c_RealDef_Oreal(X3,X1) = c_RealDef_Oreal(X3,X2) ) ).

cnf(i_0_4329,axiom,
    ( X1 != X2
    | c_Groups_Oplus__class_Oplus(X1,X3,X4) = c_Groups_Oplus__class_Oplus(X2,X3,X4) ) ).

cnf(i_0_4330,axiom,
    ( X1 != X2
    | c_Groups_Oplus__class_Oplus(X3,X1,X4) = c_Groups_Oplus__class_Oplus(X3,X2,X4) ) ).

cnf(i_0_4331,axiom,
    ( X1 != X2
    | c_Groups_Oplus__class_Oplus(X3,X4,X1) = c_Groups_Oplus__class_Oplus(X3,X4,X2) ) ).

cnf(i_0_4332,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X1,X3,X4) = c_Power_Opower__class_Opower(X2,X3,X4) ) ).

cnf(i_0_4333,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X1,X4) = c_Power_Opower__class_Opower(X3,X2,X4) ) ).

cnf(i_0_4334,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X4,X1) = c_Power_Opower__class_Opower(X3,X4,X2) ) ).

cnf(i_0_4335,axiom,
    ( X1 != X2
    | c_RComplete_Onatceiling(X1) = c_RComplete_Onatceiling(X2) ) ).

cnf(i_0_4336,axiom,
    ( X1 != X2
    | c_Int_Onumber__class_Onumber__of(X1,X3) = c_Int_Onumber__class_Onumber__of(X2,X3) ) ).

cnf(i_0_4337,axiom,
    ( X1 != X2
    | c_Int_Onumber__class_Onumber__of(X3,X1) = c_Int_Onumber__class_Onumber__of(X3,X2) ) ).

cnf(i_0_4338,axiom,
    ( X1 != X2
    | c_Nat__Transfer_Otsub(X1,X3) = c_Nat__Transfer_Otsub(X2,X3) ) ).

cnf(i_0_4339,axiom,
    ( X1 != X2
    | c_Nat__Transfer_Otsub(X3,X1) = c_Nat__Transfer_Otsub(X3,X2) ) ).

cnf(i_0_4340,axiom,
    ( X1 != X2
    | c_Groups_Oone__class_Oone(X1) = c_Groups_Oone__class_Oone(X2) ) ).

cnf(i_0_4341,axiom,
    ( X1 != X2
    | c_Polynomial_Oorder(X1,X3,X4) = c_Polynomial_Oorder(X2,X3,X4) ) ).

cnf(i_0_4342,axiom,
    ( X1 != X2
    | c_Polynomial_Oorder(X3,X1,X4) = c_Polynomial_Oorder(X3,X2,X4) ) ).

cnf(i_0_4343,axiom,
    ( X1 != X2
    | c_Polynomial_Oorder(X3,X4,X1) = c_Polynomial_Oorder(X3,X4,X2) ) ).

cnf(i_0_4344,axiom,
    ( X1 != X2
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X3) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X3) ) ).

cnf(i_0_4345,axiom,
    ( X1 != X2
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X1) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X2) ) ).

cnf(i_0_4346,axiom,
    ( X1 != X2
    | c_Groups_Oabs__class_Oabs(X1,X3) = c_Groups_Oabs__class_Oabs(X2,X3) ) ).

cnf(i_0_4347,axiom,
    ( X1 != X2
    | c_Groups_Oabs__class_Oabs(X3,X1) = c_Groups_Oabs__class_Oabs(X3,X2) ) ).

cnf(i_0_4348,axiom,
    ( X1 != X2
    | c_Rings_Oinverse__class_Odivide(X1,X3,X4) = c_Rings_Oinverse__class_Odivide(X2,X3,X4) ) ).

cnf(i_0_4349,axiom,
    ( X1 != X2
    | c_Rings_Oinverse__class_Odivide(X3,X1,X4) = c_Rings_Oinverse__class_Odivide(X3,X2,X4) ) ).

cnf(i_0_4350,axiom,
    ( X1 != X2
    | c_Rings_Oinverse__class_Odivide(X3,X4,X1) = c_Rings_Oinverse__class_Odivide(X3,X4,X2) ) ).

cnf(i_0_4351,axiom,
    ( X1 != X2
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ozero__class_Ozero(X2) ) ).

cnf(i_0_4352,axiom,
    ( X1 != X2
    | c_Groups_Otimes__class_Otimes(X1,X3,X4) = c_Groups_Otimes__class_Otimes(X2,X3,X4) ) ).

cnf(i_0_4353,axiom,
    ( X1 != X2
    | c_Groups_Otimes__class_Otimes(X3,X1,X4) = c_Groups_Otimes__class_Otimes(X3,X2,X4) ) ).

cnf(i_0_4354,axiom,
    ( X1 != X2
    | c_Groups_Otimes__class_Otimes(X3,X4,X1) = c_Groups_Otimes__class_Otimes(X3,X4,X2) ) ).

cnf(i_0_4355,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(X2,X3,X4) ) ).

cnf(i_0_4356,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X4)
    | c_Orderings_Oord__class_Oless__eq(X3,X2,X4) ) ).

cnf(i_0_4357,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X4,X1)
    | c_Orderings_Oord__class_Oless__eq(X3,X4,X2) ) ).

cnf(i_0_4358,axiom,
    ( X1 != X2
    | ~ c_Int_Oiszero(X1,X3)
    | c_Int_Oiszero(X2,X3) ) ).

cnf(i_0_4359,axiom,
    ( X1 != X2
    | ~ c_Int_Oiszero(X3,X1)
    | c_Int_Oiszero(X3,X2) ) ).

cnf(i_0_4360,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | class_Rings_Oring__1__no__zero__divisors(X2) ) ).

cnf(i_0_4361,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_4362,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring__1(X1)
    | class_Rings_Osemiring__1(X2) ) ).

cnf(i_0_4363,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | class_RealVector_Oreal__normed__algebra(X2) ) ).

cnf(i_0_4364,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | class_Groups_Oordered__ab__group__add__abs(X2) ) ).

cnf(i_0_4365,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | class_RealVector_Oreal__normed__vector(X2) ) ).

cnf(i_0_4366,axiom,
    ( X1 != X2
    | ~ class_Rings_Oidom(X1)
    | class_Rings_Oidom(X2) ) ).

cnf(i_0_4367,axiom,
    ( X1 != X2
    | ~ class_Int_Oring__char__0(X1)
    | class_Int_Oring__char__0(X2) ) ).

cnf(i_0_4368,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring(X1)
    | class_Rings_Oring(X2) ) ).

cnf(i_0_4369,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(X2,X3,X4) ) ).

cnf(i_0_4370,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X4)
    | c_Orderings_Oord__class_Oless(X3,X2,X4) ) ).

cnf(i_0_4371,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X4,X1)
    | c_Orderings_Oord__class_Oless(X3,X4,X2) ) ).

cnf(i_0_4372,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring(X1)
    | class_Rings_Osemiring(X2) ) ).

cnf(i_0_4373,axiom,
    ( X1 != X2
    | ~ class_Fields_Olinordered__field(X1)
    | class_Fields_Olinordered__field(X2) ) ).

cnf(i_0_4374,axiom,
    ( X1 != X2
    | ~ class_Fields_Ofield(X1)
    | class_Fields_Ofield(X2) ) ).

cnf(i_0_4375,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_4376,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__semiring(X1)
    | class_Rings_Oordered__semiring(X2) ) ).

cnf(i_0_4377,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | class_Rings_Olinordered__ring__strict(X2) ) ).

cnf(i_0_4378,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber(X1)
    | class_Int_Onumber(X2) ) ).

cnf(i_0_4379,axiom,
    ( X1 != X2
    | ~ c_SEQ_Osubseq(X1)
    | c_SEQ_Osubseq(X2) ) ).

cnf(i_0_4380,axiom,
    ( X1 != X2
    | ~ class_Fields_Ofield__inverse__zero(X1)
    | class_Fields_Ofield__inverse__zero(X2) ) ).

cnf(i_0_4381,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__group__add(X1)
    | class_Groups_Oab__group__add(X2) ) ).

cnf(i_0_4382,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__idom(X1)
    | class_Rings_Olinordered__idom(X2) ) ).

cnf(i_0_4383,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring__0(X1)
    | class_Rings_Ocomm__semiring__0(X2) ) ).

cnf(i_0_4384,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__ring(X1)
    | class_Rings_Ocomm__ring(X2) ) ).

cnf(i_0_4385,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | class_Groups_Oordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_4386,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | class_Rings_Oordered__comm__semiring(X2) ) ).

cnf(i_0_4387,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | class_Rings_Olinordered__semiring__strict(X2) ) ).

cnf(i_0_4388,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__comm__semiring__strict(X1)
    | class_Rings_Olinordered__comm__semiring__strict(X2) ) ).

cnf(i_0_4389,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__ring(X1)
    | class_Rings_Oordered__ring(X2) ) ).

cnf(i_0_4390,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra__1(X1)
    | class_RealVector_Oreal__normed__algebra__1(X2) ) ).

cnf(i_0_4391,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | class_Groups_Oordered__ab__semigroup__add(X2) ) ).

cnf(i_0_4392,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | class_Groups_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_4393,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semidom(X1)
    | class_Rings_Olinordered__semidom(X2) ) ).

cnf(i_0_4394,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring(X1)
    | class_Rings_Ocomm__semiring(X2) ) ).

cnf(i_0_4395,axiom,
    ( X1 != X2
    | ~ class_Rings_Odivision__ring(X1)
    | class_Rings_Odivision__ring(X2) ) ).

cnf(i_0_4396,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__field(X1)
    | class_RealVector_Oreal__normed__field(X2) ) ).

cnf(i_0_4397,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | class_Rings_Oordered__cancel__semiring(X2) ) ).

cnf(i_0_4398,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | class_Groups_Oordered__comm__monoid__add(X2) ) ).

cnf(i_0_4399,axiom,
    ( X1 != X2
    | ~ c_SEQ_Odecseq(X1,X3)
    | c_SEQ_Odecseq(X2,X3) ) ).

cnf(i_0_4400,axiom,
    ( X1 != X2
    | ~ c_SEQ_Odecseq(X3,X1)
    | c_SEQ_Odecseq(X3,X2) ) ).

cnf(i_0_4401,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_4402,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_4403,axiom,
    ( X1 != X2
    | ~ class_Groups_Omonoid__mult(X1)
    | class_Groups_Omonoid__mult(X2) ) ).

cnf(i_0_4404,axiom,
    ( X1 != X2
    | ~ class_Power_Opower(X1)
    | class_Power_Opower(X2) ) ).

cnf(i_0_4405,axiom,
    ( X1 != X2
    | ~ class_Groups_Olinordered__ab__group__add(X1)
    | class_Groups_Olinordered__ab__group__add(X2) ) ).

cnf(i_0_4406,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__semigroup__mult(X1)
    | class_Groups_Oab__semigroup__mult(X2) ) ).

cnf(i_0_4407,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__semigroup__add(X1)
    | class_Groups_Oab__semigroup__add(X2) ) ).

cnf(i_0_4408,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | class_Groups_Oordered__ab__group__add(X2) ) ).

cnf(i_0_4409,axiom,
    ( X1 != X2
    | ~ class_Groups_Ominus(X1)
    | class_Groups_Ominus(X2) ) ).

cnf(i_0_4410,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__ring(X1)
    | class_Rings_Olinordered__ring(X2) ) ).

cnf(i_0_4411,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_4412,axiom,
    ( X1 != X2
    | ~ class_Groups_Ogroup__add(X1)
    | class_Groups_Ogroup__add(X2) ) ).

cnf(i_0_4413,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__div__algebra(X1)
    | class_RealVector_Oreal__normed__div__algebra(X2) ) ).

cnf(i_0_4414,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oboolean__algebra(X1)
    | class_Lattices_Oboolean__algebra(X2) ) ).

cnf(i_0_4415,axiom,
    ( X1 != X2
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | class_Fields_Olinordered__field__inverse__zero(X2) ) ).

cnf(i_0_4416,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oab__semigroup__idem__mult(X1)
    | class_Lattices_Oab__semigroup__idem__mult(X2) ) ).

cnf(i_0_4417,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring__0(X1)
    | class_Rings_Osemiring__0(X2) ) ).

cnf(i_0_4418,axiom,
    ( X1 != X2
    | ~ class_Rings_Omult__zero(X1)
    | class_Rings_Omult__zero(X2) ) ).

cnf(i_0_4419,axiom,
    ( X1 != X2
    | ~ class_Rings_Ono__zero__divisors(X1)
    | class_Rings_Ono__zero__divisors(X2) ) ).

cnf(i_0_4420,axiom,
    ( X1 != X2
    | ~ class_Rings_Ozero__neq__one(X1)
    | class_Rings_Ozero__neq__one(X2) ) ).

cnf(i_0_4421,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | class_Groups_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_4422,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1)
    | class_Groups_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_4423,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__ring__1(X1)
    | class_Rings_Ocomm__ring__1(X2) ) ).

cnf(i_0_4424,axiom,
    ( X1 != X2
    | ~ class_Groups_Ouminus(X1)
    | class_Groups_Ouminus(X2) ) ).

cnf(i_0_4425,axiom,
    ( X1 != X2
    | ~ class_Groups_Oabs__if(X1)
    | class_Groups_Oabs__if(X2) ) ).

cnf(i_0_4426,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_4427,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__no__zero__divisors(X1)
    | class_Rings_Oring__no__zero__divisors(X2) ) ).

cnf(i_0_4428,axiom,
    ( X1 != X2
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ) ).

cnf(i_0_4429,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocomm__monoid__add(X1)
    | class_Groups_Ocomm__monoid__add(X2) ) ).

cnf(i_0_4430,axiom,
    ( X1 != X2
    | ~ class_Rings_Odivision__ring__inverse__zero(X1)
    | class_Rings_Odivision__ring__inverse__zero(X2) ) ).

cnf(i_0_4431,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocomm__monoid__mult(X1)
    | class_Groups_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_4432,axiom,
    ( X1 != X2
    | ~ class_Groups_Omonoid__add(X1)
    | class_Groups_Omonoid__add(X2) ) ).

cnf(i_0_4433,axiom,
    ( X1 != X2
    | ~ class_Groups_Ozero(X1)
    | class_Groups_Ozero(X2) ) ).

cnf(i_0_4434,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__comm__monoid__add(X1)
    | class_Groups_Ocancel__comm__monoid__add(X2) ) ).

cnf(i_0_4435,axiom,
    ( X1 != X2
    | ~ class_Groups_Oone(X1)
    | class_Groups_Oone(X2) ) ).

cnf(i_0_4436,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring__1(X1)
    | class_Rings_Ocomm__semiring__1(X2) ) ).

cnf(i_0_4437,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__1(X1)
    | class_Rings_Oring__1(X2) ) ).

cnf(i_0_4312_001,axiom,
    X1 = X1 ).

cnf(i_0_4313_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_4314_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_4315_004,axiom,
    ( X1 != X2
    | c_NthRoot_Osqrt(X1) = c_NthRoot_Osqrt(X2) ) ).

cnf(i_0_4316_005,axiom,
    ( X1 != X2
    | c_Groups_Ouminus__class_Ouminus(X1,X3) = c_Groups_Ouminus__class_Ouminus(X2,X3) ) ).

cnf(i_0_4317_006,axiom,
    ( X1 != X2
    | c_Groups_Ouminus__class_Ouminus(X3,X1) = c_Groups_Ouminus__class_Ouminus(X3,X2) ) ).

cnf(i_0_4318_007,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).

cnf(i_0_4319_008,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).

cnf(i_0_4320_009,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X1,X3,X4) = c_Groups_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_4321_010,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X3,X1,X4) = c_Groups_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_4322_011,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X3,X4,X1) = c_Groups_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_4323_012,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_4324_013,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_4325_014,axiom,
    ( X1 != X2
    | c_Polynomial_Opoly(X1,X3) = c_Polynomial_Opoly(X2,X3) ) ).

cnf(i_0_4326_015,axiom,
    ( X1 != X2
    | c_Polynomial_Opoly(X3,X1) = c_Polynomial_Opoly(X3,X2) ) ).

cnf(i_0_4327_016,axiom,
    ( X1 != X2
    | c_RealDef_Oreal(X1,X3) = c_RealDef_Oreal(X2,X3) ) ).

cnf(i_0_4328_017,axiom,
    ( X1 != X2
    | c_RealDef_Oreal(X3,X1) = c_RealDef_Oreal(X3,X2) ) ).

cnf(i_0_4329_018,axiom,
    ( X1 != X2
    | c_Groups_Oplus__class_Oplus(X1,X3,X4) = c_Groups_Oplus__class_Oplus(X2,X3,X4) ) ).

cnf(i_0_4330_019,axiom,
    ( X1 != X2
    | c_Groups_Oplus__class_Oplus(X3,X1,X4) = c_Groups_Oplus__class_Oplus(X3,X2,X4) ) ).

cnf(i_0_4331_020,axiom,
    ( X1 != X2
    | c_Groups_Oplus__class_Oplus(X3,X4,X1) = c_Groups_Oplus__class_Oplus(X3,X4,X2) ) ).

cnf(i_0_4332_021,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X1,X3,X4) = c_Power_Opower__class_Opower(X2,X3,X4) ) ).

cnf(i_0_4333_022,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X1,X4) = c_Power_Opower__class_Opower(X3,X2,X4) ) ).

cnf(i_0_4334_023,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X4,X1) = c_Power_Opower__class_Opower(X3,X4,X2) ) ).

cnf(i_0_4335_024,axiom,
    ( X1 != X2
    | c_RComplete_Onatceiling(X1) = c_RComplete_Onatceiling(X2) ) ).

cnf(i_0_4336_025,axiom,
    ( X1 != X2
    | c_Int_Onumber__class_Onumber__of(X1,X3) = c_Int_Onumber__class_Onumber__of(X2,X3) ) ).

cnf(i_0_4337_026,axiom,
    ( X1 != X2
    | c_Int_Onumber__class_Onumber__of(X3,X1) = c_Int_Onumber__class_Onumber__of(X3,X2) ) ).

cnf(i_0_4338_027,axiom,
    ( X1 != X2
    | c_Nat__Transfer_Otsub(X1,X3) = c_Nat__Transfer_Otsub(X2,X3) ) ).

cnf(i_0_4339_028,axiom,
    ( X1 != X2
    | c_Nat__Transfer_Otsub(X3,X1) = c_Nat__Transfer_Otsub(X3,X2) ) ).

cnf(i_0_4340_029,axiom,
    ( X1 != X2
    | c_Groups_Oone__class_Oone(X1) = c_Groups_Oone__class_Oone(X2) ) ).

cnf(i_0_4341_030,axiom,
    ( X1 != X2
    | c_Polynomial_Oorder(X1,X3,X4) = c_Polynomial_Oorder(X2,X3,X4) ) ).

cnf(i_0_4342_031,axiom,
    ( X1 != X2
    | c_Polynomial_Oorder(X3,X1,X4) = c_Polynomial_Oorder(X3,X2,X4) ) ).

cnf(i_0_4343_032,axiom,
    ( X1 != X2
    | c_Polynomial_Oorder(X3,X4,X1) = c_Polynomial_Oorder(X3,X4,X2) ) ).

cnf(i_0_4344_033,axiom,
    ( X1 != X2
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X3) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X3) ) ).

cnf(i_0_4345_034,axiom,
    ( X1 != X2
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X1) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X2) ) ).

cnf(i_0_4346_035,axiom,
    ( X1 != X2
    | c_Groups_Oabs__class_Oabs(X1,X3) = c_Groups_Oabs__class_Oabs(X2,X3) ) ).

cnf(i_0_4347_036,axiom,
    ( X1 != X2
    | c_Groups_Oabs__class_Oabs(X3,X1) = c_Groups_Oabs__class_Oabs(X3,X2) ) ).

cnf(i_0_4348_037,axiom,
    ( X1 != X2
    | c_Rings_Oinverse__class_Odivide(X1,X3,X4) = c_Rings_Oinverse__class_Odivide(X2,X3,X4) ) ).

cnf(i_0_4349_038,axiom,
    ( X1 != X2
    | c_Rings_Oinverse__class_Odivide(X3,X1,X4) = c_Rings_Oinverse__class_Odivide(X3,X2,X4) ) ).

cnf(i_0_4350_039,axiom,
    ( X1 != X2
    | c_Rings_Oinverse__class_Odivide(X3,X4,X1) = c_Rings_Oinverse__class_Odivide(X3,X4,X2) ) ).

cnf(i_0_4351_040,axiom,
    ( X1 != X2
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ozero__class_Ozero(X2) ) ).

cnf(i_0_4352_041,axiom,
    ( X1 != X2
    | c_Groups_Otimes__class_Otimes(X1,X3,X4) = c_Groups_Otimes__class_Otimes(X2,X3,X4) ) ).

cnf(i_0_4353_042,axiom,
    ( X1 != X2
    | c_Groups_Otimes__class_Otimes(X3,X1,X4) = c_Groups_Otimes__class_Otimes(X3,X2,X4) ) ).

cnf(i_0_4354_043,axiom,
    ( X1 != X2
    | c_Groups_Otimes__class_Otimes(X3,X4,X1) = c_Groups_Otimes__class_Otimes(X3,X4,X2) ) ).

cnf(i_0_4355_044,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(X2,X3,X4) ) ).

cnf(i_0_4356_045,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X4)
    | c_Orderings_Oord__class_Oless__eq(X3,X2,X4) ) ).

cnf(i_0_4357_046,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X4,X1)
    | c_Orderings_Oord__class_Oless__eq(X3,X4,X2) ) ).

cnf(i_0_4358_047,axiom,
    ( X1 != X2
    | ~ c_Int_Oiszero(X1,X3)
    | c_Int_Oiszero(X2,X3) ) ).

cnf(i_0_4359_048,axiom,
    ( X1 != X2
    | ~ c_Int_Oiszero(X3,X1)
    | c_Int_Oiszero(X3,X2) ) ).

cnf(i_0_4360_049,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | class_Rings_Oring__1__no__zero__divisors(X2) ) ).

cnf(i_0_4361_050,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_4362_051,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring__1(X1)
    | class_Rings_Osemiring__1(X2) ) ).

cnf(i_0_4363_052,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | class_RealVector_Oreal__normed__algebra(X2) ) ).

cnf(i_0_4364_053,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | class_Groups_Oordered__ab__group__add__abs(X2) ) ).

cnf(i_0_4365_054,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | class_RealVector_Oreal__normed__vector(X2) ) ).

cnf(i_0_4366_055,axiom,
    ( X1 != X2
    | ~ class_Rings_Oidom(X1)
    | class_Rings_Oidom(X2) ) ).

cnf(i_0_4367_056,axiom,
    ( X1 != X2
    | ~ class_Int_Oring__char__0(X1)
    | class_Int_Oring__char__0(X2) ) ).

cnf(i_0_4368_057,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring(X1)
    | class_Rings_Oring(X2) ) ).

cnf(i_0_4369_058,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(X2,X3,X4) ) ).

cnf(i_0_4370_059,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X4)
    | c_Orderings_Oord__class_Oless(X3,X2,X4) ) ).

cnf(i_0_4371_060,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X4,X1)
    | c_Orderings_Oord__class_Oless(X3,X4,X2) ) ).

cnf(i_0_4372_061,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring(X1)
    | class_Rings_Osemiring(X2) ) ).

cnf(i_0_4373_062,axiom,
    ( X1 != X2
    | ~ class_Fields_Olinordered__field(X1)
    | class_Fields_Olinordered__field(X2) ) ).

cnf(i_0_4374_063,axiom,
    ( X1 != X2
    | ~ class_Fields_Ofield(X1)
    | class_Fields_Ofield(X2) ) ).

cnf(i_0_4375_064,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_4376_065,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__semiring(X1)
    | class_Rings_Oordered__semiring(X2) ) ).

cnf(i_0_4377_066,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | class_Rings_Olinordered__ring__strict(X2) ) ).

cnf(i_0_4378_067,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber(X1)
    | class_Int_Onumber(X2) ) ).

cnf(i_0_4379_068,axiom,
    ( X1 != X2
    | ~ c_SEQ_Osubseq(X1)
    | c_SEQ_Osubseq(X2) ) ).

cnf(i_0_4380_069,axiom,
    ( X1 != X2
    | ~ class_Fields_Ofield__inverse__zero(X1)
    | class_Fields_Ofield__inverse__zero(X2) ) ).

cnf(i_0_4381_070,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__group__add(X1)
    | class_Groups_Oab__group__add(X2) ) ).

cnf(i_0_4382_071,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__idom(X1)
    | class_Rings_Olinordered__idom(X2) ) ).

cnf(i_0_4383_072,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring__0(X1)
    | class_Rings_Ocomm__semiring__0(X2) ) ).

cnf(i_0_4384_073,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__ring(X1)
    | class_Rings_Ocomm__ring(X2) ) ).

cnf(i_0_4385_074,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | class_Groups_Oordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_4386_075,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | class_Rings_Oordered__comm__semiring(X2) ) ).

cnf(i_0_4387_076,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | class_Rings_Olinordered__semiring__strict(X2) ) ).

cnf(i_0_4388_077,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__comm__semiring__strict(X1)
    | class_Rings_Olinordered__comm__semiring__strict(X2) ) ).

cnf(i_0_4389_078,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__ring(X1)
    | class_Rings_Oordered__ring(X2) ) ).

cnf(i_0_4390_079,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra__1(X1)
    | class_RealVector_Oreal__normed__algebra__1(X2) ) ).

cnf(i_0_4391_080,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | class_Groups_Oordered__ab__semigroup__add(X2) ) ).

cnf(i_0_4392_081,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | class_Groups_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_4393_082,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semidom(X1)
    | class_Rings_Olinordered__semidom(X2) ) ).

cnf(i_0_4394_083,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring(X1)
    | class_Rings_Ocomm__semiring(X2) ) ).

cnf(i_0_4395_084,axiom,
    ( X1 != X2
    | ~ class_Rings_Odivision__ring(X1)
    | class_Rings_Odivision__ring(X2) ) ).

cnf(i_0_4396_085,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__field(X1)
    | class_RealVector_Oreal__normed__field(X2) ) ).

cnf(i_0_4397_086,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | class_Rings_Oordered__cancel__semiring(X2) ) ).

cnf(i_0_4398_087,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | class_Groups_Oordered__comm__monoid__add(X2) ) ).

cnf(i_0_4399_088,axiom,
    ( X1 != X2
    | ~ c_SEQ_Odecseq(X1,X3)
    | c_SEQ_Odecseq(X2,X3) ) ).

cnf(i_0_4400_089,axiom,
    ( X1 != X2
    | ~ c_SEQ_Odecseq(X3,X1)
    | c_SEQ_Odecseq(X3,X2) ) ).

cnf(i_0_4401_090,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_4402_091,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_4403_092,axiom,
    ( X1 != X2
    | ~ class_Groups_Omonoid__mult(X1)
    | class_Groups_Omonoid__mult(X2) ) ).

cnf(i_0_4404_093,axiom,
    ( X1 != X2
    | ~ class_Power_Opower(X1)
    | class_Power_Opower(X2) ) ).

cnf(i_0_4405_094,axiom,
    ( X1 != X2
    | ~ class_Groups_Olinordered__ab__group__add(X1)
    | class_Groups_Olinordered__ab__group__add(X2) ) ).

cnf(i_0_4406_095,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__semigroup__mult(X1)
    | class_Groups_Oab__semigroup__mult(X2) ) ).

cnf(i_0_4407_096,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__semigroup__add(X1)
    | class_Groups_Oab__semigroup__add(X2) ) ).

cnf(i_0_4408_097,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | class_Groups_Oordered__ab__group__add(X2) ) ).

cnf(i_0_4409_098,axiom,
    ( X1 != X2
    | ~ class_Groups_Ominus(X1)
    | class_Groups_Ominus(X2) ) ).

cnf(i_0_4410_099,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__ring(X1)
    | class_Rings_Olinordered__ring(X2) ) ).

cnf(i_0_4411_100,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_4412_101,axiom,
    ( X1 != X2
    | ~ class_Groups_Ogroup__add(X1)
    | class_Groups_Ogroup__add(X2) ) ).

cnf(i_0_4413_102,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__div__algebra(X1)
    | class_RealVector_Oreal__normed__div__algebra(X2) ) ).

cnf(i_0_4414_103,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oboolean__algebra(X1)
    | class_Lattices_Oboolean__algebra(X2) ) ).

cnf(i_0_4415_104,axiom,
    ( X1 != X2
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | class_Fields_Olinordered__field__inverse__zero(X2) ) ).

cnf(i_0_4416_105,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oab__semigroup__idem__mult(X1)
    | class_Lattices_Oab__semigroup__idem__mult(X2) ) ).

cnf(i_0_4417_106,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring__0(X1)
    | class_Rings_Osemiring__0(X2) ) ).

cnf(i_0_4418_107,axiom,
    ( X1 != X2
    | ~ class_Rings_Omult__zero(X1)
    | class_Rings_Omult__zero(X2) ) ).

cnf(i_0_4419_108,axiom,
    ( X1 != X2
    | ~ class_Rings_Ono__zero__divisors(X1)
    | class_Rings_Ono__zero__divisors(X2) ) ).

cnf(i_0_4420_109,axiom,
    ( X1 != X2
    | ~ class_Rings_Ozero__neq__one(X1)
    | class_Rings_Ozero__neq__one(X2) ) ).

cnf(i_0_4421_110,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | class_Groups_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_4422_111,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1)
    | class_Groups_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_4423_112,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__ring__1(X1)
    | class_Rings_Ocomm__ring__1(X2) ) ).

cnf(i_0_4424_113,axiom,
    ( X1 != X2
    | ~ class_Groups_Ouminus(X1)
    | class_Groups_Ouminus(X2) ) ).

cnf(i_0_4425_114,axiom,
    ( X1 != X2
    | ~ class_Groups_Oabs__if(X1)
    | class_Groups_Oabs__if(X2) ) ).

cnf(i_0_4426_115,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_4427_116,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__no__zero__divisors(X1)
    | class_Rings_Oring__no__zero__divisors(X2) ) ).

cnf(i_0_4428_117,axiom,
    ( X1 != X2
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ) ).

cnf(i_0_4429_118,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocomm__monoid__add(X1)
    | class_Groups_Ocomm__monoid__add(X2) ) ).

cnf(i_0_4430_119,axiom,
    ( X1 != X2
    | ~ class_Rings_Odivision__ring__inverse__zero(X1)
    | class_Rings_Odivision__ring__inverse__zero(X2) ) ).

cnf(i_0_4431_120,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocomm__monoid__mult(X1)
    | class_Groups_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_4432_121,axiom,
    ( X1 != X2
    | ~ class_Groups_Omonoid__add(X1)
    | class_Groups_Omonoid__add(X2) ) ).

cnf(i_0_4433_122,axiom,
    ( X1 != X2
    | ~ class_Groups_Ozero(X1)
    | class_Groups_Ozero(X2) ) ).

cnf(i_0_4434_123,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__comm__monoid__add(X1)
    | class_Groups_Ocancel__comm__monoid__add(X2) ) ).

cnf(i_0_4435_124,axiom,
    ( X1 != X2
    | ~ class_Groups_Oone(X1)
    | class_Groups_Oone(X2) ) ).

cnf(i_0_4436_125,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring__1(X1)
    | class_Rings_Ocomm__semiring__1(X2) ) ).

cnf(i_0_4437_126,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__1(X1)
    | class_Rings_Oring__1(X2) ) ).

cnf(i_0_4438,plain,
    ( ~ class_Rings_Olinordered__semidom(X1)
    | X2 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(equality_inference,[],[2691]) ).

cnf(i_0_4439,plain,
    ( ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(equality_inference,[],[2693]) ).

cnf(i_0_4440,plain,
    ( c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(equality_inference,[],[2721]) ).

cnf(i_0_4441,plain,
    ( ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | c_Power_Opower__class_Opower(X1,c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Oone__class_Oone(X1) ),
    inference(equality_inference,[],[2734]) ).

cnf(i_0_4442,plain,
    ( ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | c_Power_Opower__class_Opower(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Oone__class_Oone(X1) ),
    inference(equality_inference,[],[2735]) ).

cnf(i_0_4443,plain,
    ( ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | c_Power_Opower__class_Opower(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[2736]) ).

cnf(i_0_4444,plain,
    ( ~ class_Rings_Oidom(X1)
    | X2 = X2
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,X2) ),
    inference(equality_inference,[],[2767]) ).

cnf(i_0_4445,plain,
    ( ~ class_Rings_Oring(X1)
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X5,X3),c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X5),X3),X4)) ),
    inference(equality_inference,[],[2781]) ).

cnf(i_0_4446,plain,
    ( ~ class_Rings_Oring(X1)
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X4,X2),X3),X5)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),X5) ),
    inference(equality_inference,[],[2782]) ).

cnf(i_0_4447,plain,
    ( ~ class_Rings_Oring(X1)
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X2),X3),X4) = X4 ),
    inference(equality_inference,[],[2783]) ).

cnf(i_0_4448,plain,
    ( ~ class_Rings_Oring(X1)
    | X2 = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X3,X3),X4),X2) ),
    inference(equality_inference,[],[2784]) ).

cnf(i_0_4449,plain,
    ( ~ class_Rings_Oidom(X1)
    | c_Power_Opower__class_Opower(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Power_Opower__class_Opower(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(equality_inference,[],[2790]) ).

cnf(i_0_4450,plain,
    ( ~ class_Rings_Olinordered__semidom(X1)
    | X2 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(equality_inference,[],[2812]) ).

cnf(i_0_4451,plain,
    X1 = X1,
    inference(equality_inference,[],[2904]) ).

cnf(i_0_4452,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2),X3))) ),
    inference(equality_inference,[],[2924]) ).

cnf(i_0_4453,plain,
    ( X1 = X1
    | ~ class_Rings_Olinordered__semidom(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) ),
    inference(equality_inference,[],[2949]) ).

cnf(i_0_4454,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | c_Int_Oiszero(X1,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)))) ),
    inference(equality_inference,[],[3066]) ).

cnf(i_0_4455,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(equality_inference,[],[3176]) ).

cnf(i_0_4456,plain,
    ( X1 = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(equality_inference,[],[3177]) ).

cnf(i_0_4457,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(equality_inference,[],[3181]) ).

cnf(i_0_4458,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(equality_inference,[],[3258]) ).

cnf(i_0_4459,plain,
    ( ~ class_Fields_Ofield(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Otimes__class_Otimes(X1,X3,X2) = c_Groups_Otimes__class_Otimes(X1,X3,X2) ),
    inference(equality_inference,[],[3276]) ).

cnf(i_0_4460,plain,
    ( ~ class_Fields_Ofield(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X3,X2) = c_Rings_Oinverse__class_Odivide(X1,X3,X2) ),
    inference(equality_inference,[],[3277]) ).

cnf(i_0_4461,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(equality_inference,[],[3278]) ).

cnf(i_0_4462,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(equality_inference,[],[3279]) ).

cnf(i_0_4463,plain,
    ( ~ class_Rings_Olinordered__semidom(X1)
    | X2 = X2
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X3) ),
    inference(equality_inference,[],[3298]) ).

cnf(i_0_4464,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(equality_inference,[],[3320]) ).

cnf(i_0_4465,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(equality_inference,[],[3373]) ).

cnf(i_0_4466,plain,
    ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(equality_inference,[],[3374]) ).

cnf(i_0_4467,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(equality_inference,[],[3375]) ).

cnf(i_0_4468,plain,
    ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(equality_inference,[],[3376]) ).

cnf(i_0_4469,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X1) = X2 ),
    inference(equality_inference,[],[3414]) ).

cnf(i_0_4470,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1) ),
    inference(equality_inference,[],[3415]) ).

cnf(i_0_4471,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(equality_inference,[],[3449]) ).

cnf(i_0_4472,plain,
    c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(equality_inference,[],[3469]) ).

cnf(i_0_4473,plain,
    ( ~ class_Rings_Oidom(X1)
    | X2 = X2
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,X2) ),
    inference(equality_inference,[],[3492]) ).

cnf(i_0_4474,plain,
    ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(equality_inference,[],[3519]) ).

cnf(i_0_4475,plain,
    ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(equality_inference,[],[3520]) ).

cnf(i_0_4476,plain,
    ( ~ class_Groups_Ocancel__semigroup__add(X1)
    | X2 = X2 ),
    inference(equality_inference,[],[3540]) ).

cnf(i_0_4477,plain,
    ( X1 = X1
    | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
    inference(equality_inference,[],[3541]) ).

cnf(i_0_4478,plain,
    ( ~ class_Groups_Ocancel__semigroup__add(X1)
    | X2 = X2 ),
    inference(equality_inference,[],[3543]) ).

cnf(i_0_4479,plain,
    ( X1 = X1
    | X2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(equality_inference,[],[3566]) ).

cnf(i_0_4480,plain,
    ( X1 = X1
    | X2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(equality_inference,[],[3567]) ).

cnf(i_0_4481,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(equality_inference,[],[3574]) ).

cnf(i_0_4482,plain,
    X1 = X1,
    inference(equality_inference,[],[3575]) ).

cnf(i_0_4483,plain,
    X1 = X1,
    inference(equality_inference,[],[3576]) ).

cnf(i_0_4484,plain,
    X1 = X1,
    inference(equality_inference,[],[3577]) ).

cnf(i_0_4485,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(equality_inference,[],[3587]) ).

cnf(i_0_4486,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(equality_inference,[],[3588]) ).

cnf(i_0_4487,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(equality_inference,[],[3591]) ).

cnf(i_0_4488,plain,
    ( ~ class_Fields_Ofield__inverse__zero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Otimes__class_Otimes(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X2) = X3 ),
    inference(equality_inference,[],[3608]) ).

cnf(i_0_4489,plain,
    ( ~ class_Fields_Ofield__inverse__zero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),X2) = X3 ),
    inference(equality_inference,[],[3609]) ).

cnf(i_0_4490,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Otimes__class_Otimes(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X2) = X3 ),
    inference(equality_inference,[],[3611]) ).

cnf(i_0_4491,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),X2) = X3 ),
    inference(equality_inference,[],[3612]) ).

cnf(i_0_4492,plain,
    ( ~ class_Fields_Ofield__inverse__zero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Otimes__class_Otimes(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(equality_inference,[],[3613]) ).

cnf(i_0_4493,plain,
    ( ~ class_Fields_Ofield__inverse__zero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(equality_inference,[],[3614]) ).

cnf(i_0_4494,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Otimes__class_Otimes(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(equality_inference,[],[3616]) ).

cnf(i_0_4495,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(equality_inference,[],[3617]) ).

cnf(i_0_4496,plain,
    ( ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ozero__class_Ozero(X1))) ),
    inference(equality_inference,[],[3627]) ).

cnf(i_0_4497,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(equality_inference,[],[3660]) ).

cnf(i_0_4498,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1))) ),
    inference(equality_inference,[],[3664]) ).

cnf(i_0_4499,plain,
    ( ~ class_Rings_Oidom(X1)
    | c_Groups_Otimes__class_Otimes(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_Groups_Otimes__class_Otimes(X1,X2,X2) ),
    inference(equality_inference,[],[3675]) ).

cnf(i_0_4500,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(equality_inference,[],[3686]) ).

cnf(i_0_4501,plain,
    X1 = X1,
    inference(equality_inference,[],[3708]) ).

cnf(i_0_4502,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X2)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
    inference(equality_inference,[],[3716]) ).

cnf(i_0_4503,plain,
    c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(equality_inference,[],[3728]) ).

cnf(i_0_4504,plain,
    ( ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(equality_inference,[],[3772]) ).

cnf(i_0_4505,plain,
    ( ~ class_Power_Opower(X1)
    | ~ class_Rings_Omult__zero(X1)
    | ~ class_Rings_Ono__zero__divisors(X1)
    | ~ class_Rings_Ozero__neq__one(X1)
    | c_Power_Opower__class_Opower(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(equality_inference,[],[3777]) ).

cnf(i_0_4506,plain,
    ( ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | c_Groups_Otimes__class_Otimes(X1,c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1)),c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))) = c_Groups_Oone__class_Oone(X1) ),
    inference(equality_inference,[],[3779]) ).

cnf(i_0_4507,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(equality_inference,[],[3782]) ).

cnf(i_0_4508,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X2) ),
    inference(equality_inference,[],[3785]) ).

cnf(i_0_4509,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X2) ),
    inference(equality_inference,[],[3787]) ).

cnf(i_0_4510,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X2) ),
    inference(equality_inference,[],[3788]) ).

cnf(i_0_4511,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X2) ),
    inference(equality_inference,[],[3789]) ).

cnf(i_0_4512,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(equality_inference,[],[3809]) ).

cnf(i_0_4513,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3813]) ).

cnf(i_0_4514,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3814]) ).

cnf(i_0_4515,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(equality_inference,[],[3825]) ).

cnf(i_0_4516,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(equality_inference,[],[3827]) ).

cnf(i_0_4517,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(equality_inference,[],[3828]) ).

cnf(i_0_4518,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(equality_inference,[],[3829]) ).

cnf(i_0_4519,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(equality_inference,[],[3843]) ).

cnf(i_0_4520,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(equality_inference,[],[3844]) ).

cnf(i_0_4521,plain,
    ( ~ class_Power_Opower(X1)
    | ~ class_Rings_Osemiring__0(X1)
    | c_Power_Opower__class_Opower(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1) ),
    inference(equality_inference,[],[3845]) ).

cnf(i_0_4522,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(equality_inference,[],[3853]) ).

cnf(i_0_4523,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(equality_inference,[],[3861]) ).

cnf(i_0_4524,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X2,X2) = c_Groups_Oone__class_Oone(X1) ),
    inference(equality_inference,[],[3865]) ).

cnf(i_0_4525,plain,
    ( ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | c_Groups_Otimes__class_Otimes(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)) = c_Groups_Oone__class_Oone(X1) ),
    inference(equality_inference,[],[3866]) ).

cnf(i_0_4526,plain,
    ( ~ class_Rings_Oring__no__zero__divisors(X1)
    | c_Groups_Otimes__class_Otimes(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3867]) ).

cnf(i_0_4527,plain,
    ( ~ class_Rings_Oring__no__zero__divisors(X1)
    | c_Groups_Otimes__class_Otimes(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3868]) ).

cnf(i_0_4528,plain,
    ( ~ class_Groups_Olinordered__ab__group__add(X1)
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3869]) ).

cnf(i_0_4529,plain,
    ( ~ class_Rings_Odivision__ring__inverse__zero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3870]) ).

cnf(i_0_4530,plain,
    ( ~ class_Groups_Olinordered__ab__group__add(X1)
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(equality_inference,[],[3871]) ).

cnf(i_0_4531,plain,
    ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | X2 = c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(equality_inference,[],[3888]) ).

cnf(i_0_4532,plain,
    ( ~ class_Groups_Oab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3897]) ).

cnf(i_0_4533,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3898]) ).

cnf(i_0_4534,plain,
    ( ~ class_Rings_Oidom(X1)
    | hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3899]) ).

cnf(i_0_4535,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
    inference(equality_inference,[],[3921]) ).

cnf(i_0_4536,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
    inference(equality_inference,[],[3922]) ).

cnf(i_0_4537,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
    inference(equality_inference,[],[3923]) ).

cnf(i_0_4538,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1)
    | X2 = X2 ),
    inference(equality_inference,[],[3932]) ).

cnf(i_0_4539,plain,
    ( ~ class_Int_Oring__char__0(X1)
    | ~ class_Rings_Oidom(X1)
    | X2 = X2 ),
    inference(equality_inference,[],[3933]) ).

cnf(i_0_4540,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
    inference(equality_inference,[],[3936]) ).

cnf(i_0_4541,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(equality_inference,[],[3950]) ).

cnf(i_0_4542,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(equality_inference,[],[3951]) ).

cnf(i_0_4543,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls) = c_Int_OPls,
    inference(equality_inference,[],[3955]) ).

cnf(i_0_4544,plain,
    c_Int_OPls = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),
    inference(equality_inference,[],[3956]) ).

cnf(i_0_4545,plain,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | X2 = X2 ),
    inference(equality_inference,[],[3960]) ).

cnf(i_0_4546,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | X2 = X2 ),
    inference(equality_inference,[],[3961]) ).

cnf(i_0_4547,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2 ),
    inference(equality_inference,[],[3974]) ).

cnf(i_0_4548,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) ),
    inference(equality_inference,[],[3976]) ).

cnf(i_0_4549,plain,
    ( ~ class_Groups_Ozero(X1)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(equality_inference,[],[3980]) ).

cnf(i_0_4550,plain,
    X1 = X1,
    inference(equality_inference,[],[3981]) ).

cnf(i_0_4551,plain,
    ( ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | c_Groups_Oabs__class_Oabs(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3997]) ).

cnf(i_0_4552,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3998]) ).

cnf(i_0_4553,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(equality_inference,[],[3999]) ).

cnf(i_0_4554,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(equality_inference,[],[4000]) ).

cnf(i_0_4555,plain,
    ( ~ class_Groups_Olinordered__ab__group__add(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[4004]) ).

cnf(i_0_4556,plain,
    ( ~ class_Groups_Olinordered__ab__group__add(X1)
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(equality_inference,[],[4005]) ).

cnf(i_0_4557,plain,
    ( ~ class_Rings_Osemiring__1(X1)
    | c_Int_Oiszero(X1,c_Groups_Ozero__class_Ozero(X1)) ),
    inference(equality_inference,[],[4006]) ).

cnf(i_0_4558,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(equality_inference,[],[4015]) ).

cnf(i_0_4559,plain,
    X1 = X1,
    inference(equality_inference,[],[4079]) ).

cnf(i_0_4560,plain,
    c_NthRoot_Osqrt(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(equality_inference,[],[4086]) ).

cnf(i_0_4561,plain,
    c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(equality_inference,[],[4087]) ).

cnf(i_0_4562,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(X1)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(scs_inference,[],[i_0_4311,i_0_2685]) ).

cnf(i_0_4563,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X1),v_z____))) ),
    inference(scs_inference,[],[i_0_4311,i_0_3040]) ).

cnf(i_0_4564,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X1),v_z____)),X1) ),
    inference(scs_inference,[],[i_0_4311,i_0_3065]) ).

cnf(i_0_4565,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X1,X2))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_3852,i_0_4562]) ).

cnf(i_0_4566,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(X1)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rename_variables,[],[i_0_4562]) ).

cnf(i_0_4567,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk22_2(X1,X2)),v_z____)),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_3852,i_0_4562,i_0_4564]) ).

cnf(i_0_4568,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X1),v_z____)),X1) ),
    inference(rename_variables,[],[i_0_4564]) ).

cnf(i_0_4569,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_3852,i_0_3208,i_0_4562,i_0_4564,i_0_3294]) ).

cnf(i_0_4570,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1),
    inference(rename_variables,[],[i_0_3208]) ).

cnf(i_0_4571,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3294]) ).

cnf(i_0_4572,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X1,X2,esk22_2(X3,X4))),
    inference(scs_inference,[],[i_0_3852,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328]) ).

cnf(i_0_4573,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X2,X3,X1)) ),
    inference(rename_variables,[],[i_0_3328]) ).

cnf(i_0_4574,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),
    inference(scs_inference,[],[i_0_3852,i_0_2716,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622]) ).

cnf(i_0_4575,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(rename_variables,[],[i_0_3622]) ).

cnf(i_0_4576,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_3852,i_0_2716,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635]) ).

cnf(i_0_4577,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3635]) ).

cnf(i_0_4578,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_3852,i_0_2716,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694]) ).

cnf(i_0_4579,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(rename_variables,[],[i_0_3694]) ).

cnf(i_0_4580,plain,
    c_NthRoot_Osqrt(esk22_2(X1,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_3852,i_0_2716,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778]) ).

cnf(i_0_4581,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3778]) ).

cnf(i_0_4582,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != esk22_2(X1,X2),
    inference(scs_inference,[],[i_0_3852,i_0_2716,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829]) ).

cnf(i_0_4583,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3829]) ).

cnf(i_0_4584,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895]) ).

cnf(i_0_4585,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_4586,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = X1 ),
    inference(rename_variables,[],[i_0_3895]) ).

cnf(i_0_4587,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_3352,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574]) ).

cnf(i_0_4588,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1),
    inference(rename_variables,[],[i_0_3352]) ).

cnf(i_0_4589,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3574]) ).

cnf(i_0_4590,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) != X1,
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_3352,i_0_4588,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587]) ).

cnf(i_0_4591,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1),
    inference(rename_variables,[],[i_0_3352]) ).

cnf(i_0_4592,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3587]) ).

cnf(i_0_4593,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)) != X1,
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_3352,i_0_4588,i_0_3208,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588]) ).

cnf(i_0_4594,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_4595,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3588]) ).

cnf(i_0_4596,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674]) ).

cnf(i_0_4597,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1) = X2,
    inference(rename_variables,[],[i_0_3601]) ).

cnf(i_0_4598,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3674]) ).

cnf(i_0_4599,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_4085,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809]) ).

cnf(i_0_4600,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4601,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3809]) ).

cnf(i_0_4602,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_3810,i_0_4085,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816]) ).

cnf(i_0_4603,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_4604,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != X2 ),
    inference(rename_variables,[],[i_0_3816]) ).

cnf(i_0_4605,plain,
    c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_4487,i_0_3810,i_0_4085,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825]) ).

cnf(i_0_4606,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_4607,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_4487,i_0_3810,i_0_4085,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827]) ).

cnf(i_0_4608,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3827]) ).

cnf(i_0_4609,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_4486,i_0_4487,i_0_3810,i_0_4085,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828]) ).

cnf(i_0_4610,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3828]) ).

cnf(i_0_4611,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_4486,i_0_4487,i_0_3810,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936]) ).

cnf(i_0_4612,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4613,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = X2 ),
    inference(rename_variables,[],[i_0_3936]) ).

cnf(i_0_4614,plain,
    c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087]) ).

cnf(i_0_4615,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_4087]) ).

cnf(i_0_4616,plain,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440]) ).

cnf(i_0_4617,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_4618,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = X1 ),
    inference(rename_variables,[],[i_0_4440]) ).

cnf(i_0_4619,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470]) ).

cnf(i_0_4620,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1) ),
    inference(rename_variables,[],[i_0_4470]) ).

cnf(i_0_4621,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313]) ).

cnf(i_0_4622,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_3168,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330]) ).

cnf(i_0_4623,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2),
    inference(rename_variables,[],[i_0_3168]) ).

cnf(i_0_4624,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1) != X1,
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3208,i_0_3601,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331]) ).

cnf(i_0_4625,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2),
    inference(rename_variables,[],[i_0_3168]) ).

cnf(i_0_4626,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3070,i_0_3208,i_0_3601,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937]) ).

cnf(i_0_4627,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3070]) ).

cnf(i_0_4628,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_2937]) ).

cnf(i_0_4629,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3070,i_0_3208,i_0_3601,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028]) ).

cnf(i_0_4630,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(rename_variables,[],[i_0_3962]) ).

cnf(i_0_4631,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2) ),
    inference(rename_variables,[],[i_0_3028]) ).

cnf(i_0_4632,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3070,i_0_3208,i_0_3601,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030]) ).

cnf(i_0_4633,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(rename_variables,[],[i_0_3962]) ).

cnf(i_0_4634,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)) ),
    inference(rename_variables,[],[i_0_3030]) ).

cnf(i_0_4635,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3595,i_0_3070,i_0_3208,i_0_3601,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031]) ).

cnf(i_0_4636,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3595]) ).

cnf(i_0_4637,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) ),
    inference(rename_variables,[],[i_0_3031]) ).

cnf(i_0_4638,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3604,i_0_3595,i_0_3070,i_0_3208,i_0_3601,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162]) ).

cnf(i_0_4639,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_4640,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3162]) ).

cnf(i_0_4641,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3604,i_0_3595,i_0_3070,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163]) ).

cnf(i_0_4642,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3163]) ).

cnf(i_0_4643,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3604,i_0_3595,i_0_3070,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210]) ).

cnf(i_0_4644,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(rename_variables,[],[i_0_3210]) ).

cnf(i_0_4645,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3604,i_0_3605,i_0_3595,i_0_3070,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251]) ).

cnf(i_0_4646,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_4647,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3251]) ).

cnf(i_0_4648,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_3352,i_0_4588,i_0_3604,i_0_3605,i_0_3595,i_0_3070,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256]) ).

cnf(i_0_4649,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_4650,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3256]) ).

cnf(i_0_4651,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3604,i_0_3605,i_0_3595,i_0_3070,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258]) ).

cnf(i_0_4652,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4653,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3258]) ).

cnf(i_0_4654,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3604,i_0_4639,i_0_3605,i_0_3595,i_0_3070,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271]) ).

cnf(i_0_4655,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_4656,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3271]) ).

cnf(i_0_4657,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3595,i_0_3070,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272]) ).

cnf(i_0_4658,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_4659,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3272]) ).

cnf(i_0_4660,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273]) ).

cnf(i_0_4661,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3070]) ).

cnf(i_0_4662,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3273]) ).

cnf(i_0_4663,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347]) ).

cnf(i_0_4664,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),
    inference(rename_variables,[],[i_0_3353]) ).

cnf(i_0_4665,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3347]) ).

cnf(i_0_4666,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350]) ).

cnf(i_0_4667,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_4668,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3350]) ).

cnf(i_0_4669,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351]) ).

cnf(i_0_4670,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_4671,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3351]) ).

cnf(i_0_4672,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358]) ).

cnf(i_0_4673,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_3800]) ).

cnf(i_0_4674,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2) = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3358]) ).

cnf(i_0_4675,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359]) ).

cnf(i_0_4676,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3359]) ).

cnf(i_0_4677,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364]) ).

cnf(i_0_4678,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3364]) ).

cnf(i_0_4679,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366]) ).

cnf(i_0_4680,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_3321]) ).

cnf(i_0_4681,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3366]) ).

cnf(i_0_4682,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368]) ).

cnf(i_0_4683,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_3321]) ).

cnf(i_0_4684,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3368]) ).

cnf(i_0_4685,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370]) ).

cnf(i_0_4686,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1),
    inference(rename_variables,[],[i_0_3352]) ).

cnf(i_0_4687,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3370]) ).

cnf(i_0_4688,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X2),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372]) ).

cnf(i_0_4689,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1),
    inference(rename_variables,[],[i_0_3352]) ).

cnf(i_0_4690,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3372]) ).

cnf(i_0_4691,plain,
    ~ class_Groups_Ogroup__add(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417]) ).

cnf(i_0_4692,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)) = X3
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3417]) ).

cnf(i_0_4693,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X3)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425]) ).

cnf(i_0_4694,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3425]) ).

cnf(i_0_4695,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493]) ).

cnf(i_0_4696,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_4697,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2),X1) ),
    inference(rename_variables,[],[i_0_3493]) ).

cnf(i_0_4698,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559]) ).

cnf(i_0_4699,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,X1))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(rename_variables,[],[i_0_3559]) ).

cnf(i_0_4700,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563]) ).

cnf(i_0_4701,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_4702,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(rename_variables,[],[i_0_3563]) ).

cnf(i_0_4703,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576]) ).

cnf(i_0_4704,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_2728]) ).

cnf(i_0_4705,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_3576]) ).

cnf(i_0_4706,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606]) ).

cnf(i_0_4707,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(rename_variables,[],[i_0_2666]) ).

cnf(i_0_4708,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(rename_variables,[],[i_0_3606]) ).

cnf(i_0_4709,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620]) ).

cnf(i_0_4710,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(rename_variables,[],[i_0_3620]) ).

cnf(i_0_4711,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621]) ).

cnf(i_0_4712,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1) ),
    inference(rename_variables,[],[i_0_3621]) ).

cnf(i_0_4713,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630]) ).

cnf(i_0_4714,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_4715,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3630]) ).

cnf(i_0_4716,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632]) ).

cnf(i_0_4717,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_4718,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3632]) ).

cnf(i_0_4719,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633]) ).

cnf(i_0_4720,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3633]) ).

cnf(i_0_4721,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636]) ).

cnf(i_0_4722,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_4723,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3636]) ).

cnf(i_0_4724,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637]) ).

cnf(i_0_4725,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3637]) ).

cnf(i_0_4726,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660]) ).

cnf(i_0_4727,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(rename_variables,[],[i_0_3660]) ).

cnf(i_0_4728,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662]) ).

cnf(i_0_4729,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_4730,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1) ),
    inference(rename_variables,[],[i_0_3662]) ).

cnf(i_0_4731,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686]) ).

cnf(i_0_4732,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4733,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3686]) ).

cnf(i_0_4734,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691]) ).

cnf(i_0_4735,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3311]) ).

cnf(i_0_4736,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3691]) ).

cnf(i_0_4737,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692]) ).

cnf(i_0_4738,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3692]) ).

cnf(i_0_4739,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744]) ).

cnf(i_0_4740,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1) ),
    inference(rename_variables,[],[i_0_3744]) ).

cnf(i_0_4741,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761]) ).

cnf(i_0_4742,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3761]) ).

cnf(i_0_4743,plain,
    ~ class_Groups_Oab__group__add(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804]) ).

cnf(i_0_4744,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_3800]) ).

cnf(i_0_4745,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3804]) ).

cnf(i_0_4746,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893]) ).

cnf(i_0_4747,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_4748,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = X1 ),
    inference(rename_variables,[],[i_0_3893]) ).

cnf(i_0_4749,plain,
    c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4246,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927]) ).

cnf(i_0_4750,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
    inference(rename_variables,[],[i_0_3927]) ).

cnf(i_0_4751,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4246,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935]) ).

cnf(i_0_4752,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3935]) ).

cnf(i_0_4753,plain,
    c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4246,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086]) ).

cnf(i_0_4754,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4755,plain,
    ( X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_4086]) ).

cnf(i_0_4756,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4246,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843]) ).

cnf(i_0_4757,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_4758,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2843]) ).

cnf(i_0_4759,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4196,i_0_4246,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932]) ).

cnf(i_0_4760,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2932]) ).

cnf(i_0_4761,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4196,i_0_4197,i_0_4246,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934]) ).

cnf(i_0_4762,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2934]) ).

cnf(i_0_4763,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4195,i_0_4196,i_0_4197,i_0_4246,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128]) ).

cnf(i_0_4764,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1),
    inference(rename_variables,[],[i_0_3208]) ).

cnf(i_0_4765,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_3128]) ).

cnf(i_0_4766,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4195,i_0_4196,i_0_4197,i_0_4246,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3168,i_0_4623,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129]) ).

cnf(i_0_4767,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3129]) ).

cnf(i_0_4768,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk20_0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4195,i_0_4196,i_0_4197,i_0_4246,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227]) ).

cnf(i_0_4769,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3227]) ).

cnf(i_0_4770,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk20_0,esk15_0),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4195,i_0_4196,i_0_4197,i_0_4246,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245]) ).

cnf(i_0_4771,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,esk15_0) ),
    inference(rename_variables,[],[i_0_3245]) ).

cnf(i_0_4772,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4195,i_0_4196,i_0_4197,i_0_4246,i_0_4274,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303]) ).

cnf(i_0_4773,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3303]) ).

cnf(i_0_4774,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4195,i_0_4196,i_0_4197,i_0_4246,i_0_4274,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304]) ).

cnf(i_0_4775,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3304]) ).

cnf(i_0_4776,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4195,i_0_4196,i_0_4197,i_0_4246,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308]) ).

cnf(i_0_4777,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3308]) ).

cnf(i_0_4778,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,esk22_2(X1,X2),X3)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4246,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309]) ).

cnf(i_0_4779,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3309]) ).

cnf(i_0_4780,plain,
    ~ class_Groups_Oordered__ab__group__add(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4246,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315]) ).

cnf(i_0_4781,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3819]) ).

cnf(i_0_4782,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3315]) ).

cnf(i_0_4783,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4246,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506]) ).

cnf(i_0_4784,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3506]) ).

cnf(i_0_4785,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4246,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508]) ).

cnf(i_0_4786,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3508]) ).

cnf(i_0_4787,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4246,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511]) ).

cnf(i_0_4788,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_4789,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3511]) ).

cnf(i_0_4790,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4246,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516]) ).

cnf(i_0_4791,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3516]) ).

cnf(i_0_4792,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4246,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518]) ).

cnf(i_0_4793,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3518]) ).

cnf(i_0_4794,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4245,i_0_4246,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545]) ).

cnf(i_0_4795,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3545]) ).

cnf(i_0_4796,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4245,i_0_4246,i_0_4249,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546]) ).

cnf(i_0_4797,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3546]) ).

cnf(i_0_4798,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk2_0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4245,i_0_4246,i_0_4249,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550]) ).

cnf(i_0_4799,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3550]) ).

cnf(i_0_4800,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk2_0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4245,i_0_4246,i_0_4249,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553]) ).

cnf(i_0_4801,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3553]) ).

cnf(i_0_4802,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4245,i_0_4246,i_0_4249,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554]) ).

cnf(i_0_4803,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3554]) ).

cnf(i_0_4804,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk2_0),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4245,i_0_4246,i_0_4249,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657]) ).

cnf(i_0_4805,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3657]) ).

cnf(i_0_4806,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4245,i_0_4246,i_0_4249,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659]) ).

cnf(i_0_4807,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3659]) ).

cnf(i_0_4808,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4245,i_0_4246,i_0_4249,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736]) ).

cnf(i_0_4809,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3736]) ).

cnf(i_0_4810,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4245,i_0_4246,i_0_4249,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780]) ).

cnf(i_0_4811,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_4812,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3780]) ).

cnf(i_0_4813,plain,
    ~ c_Orderings_Oord__class_Oless(tc_HOL_Obool,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785]) ).

cnf(i_0_4814,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3785]) ).

cnf(i_0_4815,plain,
    ~ c_Orderings_Oord__class_Oless(tc_HOL_Obool,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787]) ).

cnf(i_0_4816,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3787]) ).

cnf(i_0_4817,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788]) ).

cnf(i_0_4818,plain,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3788]) ).

cnf(i_0_4819,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789]) ).

cnf(i_0_4820,plain,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3789]) ).

cnf(i_0_4821,plain,
    ~ c_Orderings_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,tc_RealDef_Oreal),X1,X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369]) ).

cnf(i_0_4822,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4823,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370]) ).

cnf(i_0_4824,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_4825,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371]) ).

cnf(i_0_4826,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_4827,plain,
    esk22_2(X1,X2) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693]) ).

cnf(i_0_4828,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2693]) ).

cnf(i_0_4829,plain,
    c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))) = c_RealDef_Oreal(tc_Nat_Onat,X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3858,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3500,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721]) ).

cnf(i_0_4830,plain,
    c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X2) = c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3500]) ).

cnf(i_0_4831,plain,
    ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) != X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(X2) = X1 ),
    inference(rename_variables,[],[i_0_2721]) ).

cnf(i_0_4832,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X3),X2))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3858,i_0_4129,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3500,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781]) ).

cnf(i_0_4833,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_4522]) ).

cnf(i_0_4834,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5) != X6
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2781]) ).

cnf(i_0_4835,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_3311,i_0_3886,i_0_3500,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415]) ).

cnf(i_0_4836,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_3957]) ).

cnf(i_0_4837,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != X3
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3415]) ).

cnf(i_0_4838,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558]) ).

cnf(i_0_4839,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_3598]) ).

cnf(i_0_4840,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1) = X2,
    inference(rename_variables,[],[i_0_3601]) ).

cnf(i_0_4841,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3558]) ).

cnf(i_0_4842,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627]) ).

cnf(i_0_4843,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3627]) ).

cnf(i_0_4844,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4276,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739]) ).

cnf(i_0_4845,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X1) = X1,
    inference(rename_variables,[],[i_0_3965]) ).

cnf(i_0_4846,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,X2) = X3
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_4847,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740]) ).

cnf(i_0_4848,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3740]) ).

cnf(i_0_4849,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741]) ).

cnf(i_0_4850,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X1) = X1,
    inference(rename_variables,[],[i_0_3965]) ).

cnf(i_0_4851,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3741]) ).

cnf(i_0_4852,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768]) ).

cnf(i_0_4853,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = X1,
    inference(rename_variables,[],[i_0_2688]) ).

cnf(i_0_4854,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X2) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4855,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769]) ).

cnf(i_0_4856,plain,
    c_Power_Opower__class_Opower(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = X1,
    inference(rename_variables,[],[i_0_2739]) ).

cnf(i_0_4857,plain,
    ( c_Power_Opower__class_Opower(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
    inference(rename_variables,[],[i_0_3769]) ).

cnf(i_0_4858,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772]) ).

cnf(i_0_4859,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4860,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4129,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773]) ).

cnf(i_0_4861,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4862,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oab__group__add(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_4863,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),X2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867]) ).

cnf(i_0_4864,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3867]) ).

cnf(i_0_4865,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868]) ).

cnf(i_0_4866,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3868]) ).

cnf(i_0_4867,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869]) ).

cnf(i_0_4868,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_3869]) ).

cnf(i_0_4869,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870]) ).

cnf(i_0_4870,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Odivision__ring__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3870]) ).

cnf(i_0_4871,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888]) ).

cnf(i_0_4872,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Oplus__class_Oplus(X2,X3,X1)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(rename_variables,[],[i_0_3888]) ).

cnf(i_0_4873,plain,
    hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))),X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899]) ).

cnf(i_0_4874,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4875,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | hAPP(c_Polynomial_Opoly(X2,X1),X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oidom(X2) ),
    inference(rename_variables,[],[i_0_3899]) ).

cnf(i_0_4876,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916]) ).

cnf(i_0_4877,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_3800]) ).

cnf(i_0_4878,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4879,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3916]) ).

cnf(i_0_4880,plain,
    c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921]) ).

cnf(i_0_4881,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | c_Orderings_Oord__class_Oless__eq(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3921]) ).

cnf(i_0_4882,plain,
    c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922]) ).

cnf(i_0_4883,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | X2 != X3
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3922]) ).

cnf(i_0_4884,plain,
    c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923]) ).

cnf(i_0_4885,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | c_Orderings_Oord__class_Oless__eq(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3923]) ).

cnf(i_0_4886,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974]) ).

cnf(i_0_4887,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != X3
    | c_Groups_Ouminus__class_Ouminus(X1,X3) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3974]) ).

cnf(i_0_4888,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978]) ).

cnf(i_0_4889,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_4890,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Groups_Ozero(X2) ),
    inference(rename_variables,[],[i_0_3978]) ).

cnf(i_0_4891,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980]) ).

cnf(i_0_4892,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4893,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Groups_Ozero(X2) ),
    inference(rename_variables,[],[i_0_3980]) ).

cnf(i_0_4894,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997]) ).

cnf(i_0_4895,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oabs__class_Oabs(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3997]) ).

cnf(i_0_4896,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998]) ).

cnf(i_0_4897,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Ouminus__class_Ouminus(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3998]) ).

cnf(i_0_4898,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999]) ).

cnf(i_0_4899,plain,
    ( c_Groups_Ozero__class_Ozero(X1) != X2
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3999]) ).

cnf(i_0_4900,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004]) ).

cnf(i_0_4901,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Ouminus__class_Ouminus(X2,X1) = X1
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_4004]) ).

cnf(i_0_4902,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005]) ).

cnf(i_0_4903,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X1 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_4005]) ).

cnf(i_0_4904,plain,
    c_Int_Oiszero(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006]) ).

cnf(i_0_4905,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Osemiring__1(X2)
    | c_Int_Oiszero(X2,X1) ),
    inference(rename_variables,[],[i_0_4006]) ).

cnf(i_0_4906,plain,
    X1 = c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492]) ).

cnf(i_0_4907,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_4908,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Otimes__class_Otimes(X2,c_Rings_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4492]) ).

cnf(i_0_4909,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493]) ).

cnf(i_0_4910,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_4911,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Rings_Oinverse__class_Odivide(X2,c_Groups_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4493]) ).

cnf(i_0_4912,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314]) ).

cnf(i_0_4913,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_4914,plain,
    ~ c_Orderings_Oord__class_Oless__eq(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355]) ).

cnf(i_0_4915,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4916,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356]) ).

cnf(i_0_4917,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_3321]) ).

cnf(i_0_4918,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4173,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357]) ).

cnf(i_0_4919,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_3321]) ).

cnf(i_0_4920,plain,
    class_Rings_Oring__1__no__zero__divisors(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4172,i_0_4173,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360]) ).

cnf(i_0_4921,plain,
    class_Orderings_Oord(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4172,i_0_4173,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361]) ).

cnf(i_0_4922,plain,
    class_Rings_Osemiring__1(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362]) ).

cnf(i_0_4923,plain,
    class_RealVector_Oreal__normed__algebra(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363]) ).

cnf(i_0_4924,plain,
    class_Groups_Oordered__ab__group__add__abs(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364]) ).

cnf(i_0_4925,plain,
    class_RealVector_Oreal__normed__vector(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4295,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365]) ).

cnf(i_0_4926,plain,
    class_Rings_Oidom(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4293,i_0_4295,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366]) ).

cnf(i_0_4927,plain,
    class_Int_Oring__char__0(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4129,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4290,i_0_4293,i_0_4295,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367]) ).

cnf(i_0_4928,plain,
    class_Rings_Oring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4127,i_0_4129,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4290,i_0_4293,i_0_4295,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368]) ).

cnf(i_0_4929,plain,
    class_Rings_Osemiring(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4127,i_0_4129,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4290,i_0_4293,i_0_4295,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372]) ).

cnf(i_0_4930,plain,
    class_Fields_Olinordered__field(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4127,i_0_4129,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4290,i_0_4293,i_0_4295,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373]) ).

cnf(i_0_4931,plain,
    class_Fields_Ofield(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4122,i_0_4127,i_0_4129,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374]) ).

cnf(i_0_4932,plain,
    class_Rings_Oordered__semiring(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376]) ).

cnf(i_0_4933,plain,
    class_Rings_Olinordered__ring__strict(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377]) ).

cnf(i_0_4934,plain,
    class_Int_Onumber(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378]) ).

cnf(i_0_4935,plain,
    c_SEQ_Osubseq(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379]) ).

cnf(i_0_4936,plain,
    class_Fields_Ofield__inverse__zero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380]) ).

cnf(i_0_4937,plain,
    tc_Int_Oint != tc_Nat_Onat,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381]) ).

cnf(i_0_4938,plain,
    class_Rings_Olinordered__idom(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382]) ).

cnf(i_0_4939,plain,
    class_Rings_Ocomm__semiring__0(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383]) ).

cnf(i_0_4940,plain,
    class_Rings_Ocomm__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384]) ).

cnf(i_0_4941,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385]) ).

cnf(i_0_4942,plain,
    class_Rings_Oordered__comm__semiring(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386]) ).

cnf(i_0_4943,plain,
    class_Rings_Olinordered__semiring__strict(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387]) ).

cnf(i_0_4944,plain,
    class_Rings_Olinordered__comm__semiring__strict(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388]) ).

cnf(i_0_4945,plain,
    class_Rings_Oordered__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389]) ).

cnf(i_0_4946,plain,
    class_RealVector_Oreal__normed__algebra__1(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390]) ).

cnf(i_0_4947,plain,
    class_Groups_Oordered__ab__semigroup__add(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4190,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391]) ).

cnf(i_0_4948,plain,
    class_Groups_Oordered__cancel__ab__semigroup__add(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392]) ).

cnf(i_0_4949,plain,
    class_Rings_Olinordered__semidom(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393]) ).

cnf(i_0_4950,plain,
    class_Rings_Ocomm__semiring(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394]) ).

cnf(i_0_4951,plain,
    class_RealVector_Oreal__normed__field(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396]) ).

cnf(i_0_4952,plain,
    class_Rings_Oordered__cancel__semiring(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397]) ).

cnf(i_0_4953,plain,
    class_Groups_Oordered__comm__monoid__add(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398]) ).

cnf(i_0_4954,plain,
    class_Orderings_Oorder(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401]) ).

cnf(i_0_4955,plain,
    class_Orderings_Olinorder(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402]) ).

cnf(i_0_4956,plain,
    class_Groups_Omonoid__mult(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403]) ).

cnf(i_0_4957,plain,
    class_Power_Opower(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404]) ).

cnf(i_0_4958,plain,
    class_Groups_Olinordered__ab__group__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405]) ).

cnf(i_0_4959,plain,
    class_Groups_Oab__semigroup__mult(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406]) ).

cnf(i_0_4960,plain,
    class_Groups_Oab__semigroup__add(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407]) ).

cnf(i_0_4961,plain,
    tc_RealDef_Oreal != tc_Nat_Onat,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4213,i_0_4215,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408]) ).

cnf(i_0_4962,plain,
    class_Groups_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409]) ).

cnf(i_0_4963,plain,
    class_Rings_Olinordered__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410]) ).

cnf(i_0_4964,plain,
    class_Orderings_Opreorder(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411]) ).

cnf(i_0_4965,plain,
    tc_Complex_Ocomplex != tc_Nat_Onat,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412]) ).

cnf(i_0_4966,plain,
    class_RealVector_Oreal__normed__div__algebra(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413]) ).

cnf(i_0_4967,plain,
    class_Lattices_Oboolean__algebra(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414]) ).

cnf(i_0_4968,plain,
    class_Fields_Olinordered__field__inverse__zero(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415]) ).

cnf(i_0_4969,plain,
    class_Rings_Osemiring__0(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4149,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417]) ).

cnf(i_0_4970,plain,
    class_Rings_Omult__zero(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4149,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418]) ).

cnf(i_0_4971,plain,
    class_Rings_Ono__zero__divisors(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419]) ).

cnf(i_0_4972,plain,
    class_Rings_Ozero__neq__one(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420]) ).

cnf(i_0_4973,plain,
    class_Groups_Ocancel__semigroup__add(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421]) ).

cnf(i_0_4974,plain,
    class_Groups_Ocancel__ab__semigroup__add(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422]) ).

cnf(i_0_4975,plain,
    class_Rings_Ocomm__ring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423]) ).

cnf(i_0_4976,plain,
    class_Groups_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424]) ).

cnf(i_0_4977,plain,
    class_Groups_Oabs__if(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425]) ).

cnf(i_0_4978,plain,
    class_Int_Onumber__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426]) ).

cnf(i_0_4979,plain,
    class_Rings_Oring__no__zero__divisors(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427]) ).

cnf(i_0_4980,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428]) ).

cnf(i_0_4981,plain,
    class_Groups_Ocomm__monoid__add(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429]) ).

cnf(i_0_4982,plain,
    class_Rings_Odivision__ring__inverse__zero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430]) ).

cnf(i_0_4983,plain,
    class_Groups_Ocomm__monoid__mult(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431]) ).

cnf(i_0_4984,plain,
    class_Groups_Omonoid__add(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432]) ).

cnf(i_0_4985,plain,
    class_Groups_Ozero(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433]) ).

cnf(i_0_4986,plain,
    class_Groups_Ocancel__comm__monoid__add(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434]) ).

cnf(i_0_4987,plain,
    class_Groups_Oone(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435]) ).

cnf(i_0_4988,plain,
    class_Rings_Ocomm__semiring__1(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436]) ).

cnf(i_0_4989,plain,
    class_Rings_Oring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437]) ).

cnf(i_0_4990,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_Int_Oint),X2,X2),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726]) ).

cnf(i_0_4991,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_4992,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk9_4(X3,X2,X4,X1)),hAPP(X3,esk9_4(X3,X2,X4,X1)))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X1),X2,X3)
    | ~ class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2726]) ).

cnf(i_0_4993,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X1),X2),X4))) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X3,X2),X4),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782]) ).

cnf(i_0_4994,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_4995,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,c_Groups_Ominus__class_Ominus(X2,X3,X4),X5),X6)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X4,X5),X1) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X5),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2782]) ).

cnf(i_0_4996,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2),X3) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X4,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X4),X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783]) ).

cnf(i_0_4997,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3811]) ).

cnf(i_0_4998,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5) = X6
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) != c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2783]) ).

cnf(i_0_4999,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X1),X2),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X3,X2),X4),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784]) ).

cnf(i_0_5000,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5001,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,c_Groups_Ominus__class_Ominus(X2,X3,X4),X5),X6)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X4,X5),X1) != c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X5),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2784]) ).

cnf(i_0_5002,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3168,i_0_4623,i_0_3838,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842]) ).

cnf(i_0_5003,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5004,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X3,X4),X2)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2842]) ).

cnf(i_0_5005,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_3605,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903]) ).

cnf(i_0_5006,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(rename_variables,[],[i_0_2753]) ).

cnf(i_0_5007,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X2) ),
    inference(rename_variables,[],[i_0_2903]) ).

cnf(i_0_5008,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),X2)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926]) ).

cnf(i_0_5009,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_5010,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_5011,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2926]) ).

cnf(i_0_5012,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928]) ).

cnf(i_0_5013,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2928]) ).

cnf(i_0_5014,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),X3),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012]) ).

cnf(i_0_5015,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_5016,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4) ),
    inference(rename_variables,[],[i_0_3012]) ).

cnf(i_0_5017,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075]) ).

cnf(i_0_5018,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3075]) ).

cnf(i_0_5019,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3)),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124]) ).

cnf(i_0_5020,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_3124]) ).

cnf(i_0_5021,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161]) ).

cnf(i_0_5022,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3589]) ).

cnf(i_0_5023,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1),
    inference(rename_variables,[],[i_0_3603]) ).

cnf(i_0_5024,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3161]) ).

cnf(i_0_5025,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166]) ).

cnf(i_0_5026,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3595]) ).

cnf(i_0_5027,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5028,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(X2,X1),X2) ),
    inference(rename_variables,[],[i_0_3166]) ).

cnf(i_0_5029,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176]) ).

cnf(i_0_5030,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3176]) ).

cnf(i_0_5031,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180]) ).

cnf(i_0_5032,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X2) ),
    inference(rename_variables,[],[i_0_3180]) ).

cnf(i_0_5033,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188]) ).

cnf(i_0_5034,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3188]) ).

cnf(i_0_5035,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193]) ).

cnf(i_0_5036,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),
    inference(rename_variables,[],[i_0_3353]) ).

cnf(i_0_5037,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_3193]) ).

cnf(i_0_5038,plain,
    esk32_2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3311,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243]) ).

cnf(i_0_5039,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3819]) ).

cnf(i_0_5040,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_5041,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264]) ).

cnf(i_0_5042,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
    inference(rename_variables,[],[i_0_3943]) ).

cnf(i_0_5043,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(rename_variables,[],[i_0_3849]) ).

cnf(i_0_5044,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_3264]) ).

cnf(i_0_5045,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292]) ).

cnf(i_0_5046,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5047,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(rename_variables,[],[i_0_3292]) ).

cnf(i_0_5048,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302]) ).

cnf(i_0_5049,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3302]) ).

cnf(i_0_5050,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305]) ).

cnf(i_0_5051,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5052,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3305]) ).

cnf(i_0_5053,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306]) ).

cnf(i_0_5054,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5055,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3306]) ).

cnf(i_0_5056,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307]) ).

cnf(i_0_5057,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5058,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3307]) ).

cnf(i_0_5059,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319]) ).

cnf(i_0_5060,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5061,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X1,X2)) ),
    inference(rename_variables,[],[i_0_3319]) ).

cnf(i_0_5062,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408]) ).

cnf(i_0_5063,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3408]) ).

cnf(i_0_5064,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414]) ).

cnf(i_0_5065,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5066,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_3953]) ).

cnf(i_0_5067,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(rename_variables,[],[i_0_3414]) ).

cnf(i_0_5068,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418]) ).

cnf(i_0_5069,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1),
    inference(rename_variables,[],[i_0_3603]) ).

cnf(i_0_5070,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(rename_variables,[],[i_0_3418]) ).

cnf(i_0_5071,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419]) ).

cnf(i_0_5072,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1) ),
    inference(rename_variables,[],[i_0_3419]) ).

cnf(i_0_5073,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk22_2(X1,X2),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420]) ).

cnf(i_0_5074,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X1) ),
    inference(rename_variables,[],[i_0_3420]) ).

cnf(i_0_5075,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429]) ).

cnf(i_0_5076,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5077,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3429]) ).

cnf(i_0_5078,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431]) ).

cnf(i_0_5079,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5080,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3431]) ).

cnf(i_0_5081,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432]) ).

cnf(i_0_5082,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5083,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3432]) ).

cnf(i_0_5084,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434]) ).

cnf(i_0_5085,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5086,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3434]) ).

cnf(i_0_5087,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436]) ).

cnf(i_0_5088,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5089,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3436]) ).

cnf(i_0_5090,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473]) ).

cnf(i_0_5091,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3473]) ).

cnf(i_0_5092,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475]) ).

cnf(i_0_5093,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3475]) ).

cnf(i_0_5094,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495]) ).

cnf(i_0_5095,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3495]) ).

cnf(i_0_5096,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505]) ).

cnf(i_0_5097,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5098,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3505]) ).

cnf(i_0_5099,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507]) ).

cnf(i_0_5100,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3507]) ).

cnf(i_0_5101,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510]) ).

cnf(i_0_5102,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5103,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3510]) ).

cnf(i_0_5104,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_r),v_r),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515]) ).

cnf(i_0_5105,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3515]) ).

cnf(i_0_5106,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517]) ).

cnf(i_0_5107,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3517]) ).

cnf(i_0_5108,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540]) ).

cnf(i_0_5109,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1),
    inference(rename_variables,[],[i_0_2717]) ).

cnf(i_0_5110,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X4,X3)
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | X2 = X4 ),
    inference(rename_variables,[],[i_0_3540]) ).

cnf(i_0_5111,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X1),X2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541]) ).

cnf(i_0_5112,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X2,X4)
    | X3 = X4
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_3541]) ).

cnf(i_0_5113,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),X2),X3)) = X3,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543]) ).

cnf(i_0_5114,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X2,X4)
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | X3 = X4 ),
    inference(rename_variables,[],[i_0_3543]) ).

cnf(i_0_5115,plain,
    X1 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569]) ).

cnf(i_0_5116,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3569]) ).

cnf(i_0_5117,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570]) ).

cnf(i_0_5118,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3570]) ).

cnf(i_0_5119,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571]) ).

cnf(i_0_5120,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),
    inference(rename_variables,[],[i_0_3858]) ).

cnf(i_0_5121,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3571]) ).

cnf(i_0_5122,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655]) ).

cnf(i_0_5123,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5124,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3655]) ).

cnf(i_0_5125,plain,
    c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))) = c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675]) ).

cnf(i_0_5126,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5127,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Otimes__class_Otimes(X2,X3,X3)
    | ~ class_Rings_Oidom(X2) ),
    inference(rename_variables,[],[i_0_3675]) ).

cnf(i_0_5128,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678]) ).

cnf(i_0_5129,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1),
    inference(rename_variables,[],[i_0_3603]) ).

cnf(i_0_5130,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3678]) ).

cnf(i_0_5131,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731]) ).

cnf(i_0_5132,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3731]) ).

cnf(i_0_5133,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754]) ).

cnf(i_0_5134,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3819]) ).

cnf(i_0_5135,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3754]) ).

cnf(i_0_5136,plain,
    c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))) = c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779]) ).

cnf(i_0_5137,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5138,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3779]) ).

cnf(i_0_5139,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),c_NthRoot_Osqrt(X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813]) ).

cnf(i_0_5140,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3813]) ).

cnf(i_0_5141,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814]) ).

cnf(i_0_5142,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5143,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Oplus__class_Oplus(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3814]) ).

cnf(i_0_5144,plain,
    c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866]) ).

cnf(i_0_5145,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5146,plain,
    ( X1 != c_Groups_Oone__class_Oone(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3866]) ).

cnf(i_0_5147,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976]) ).

cnf(i_0_5148,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5149,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3976]) ).

cnf(i_0_5150,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982]) ).

cnf(i_0_5151,plain,
    ( c_Groups_Ozero__class_Ozero(X1) != c_Groups_Ouminus__class_Ouminus(X1,X2)
    | c_Groups_Ozero__class_Ozero(X1) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3982]) ).

cnf(i_0_5152,plain,
    ~ c_Int_Oiszero(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996]) ).

cnf(i_0_5153,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5154,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Int_Oiszero(X2,X1)
    | ~ class_Rings_Osemiring__1(X2) ),
    inference(rename_variables,[],[i_0_3996]) ).

cnf(i_0_5155,plain,
    c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X1,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488]) ).

cnf(i_0_5156,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5157,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,c_Rings_Oinverse__class_Odivide(X2,X3,X1),X1) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4488]) ).

cnf(i_0_5158,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X1,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489]) ).

cnf(i_0_5159,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5160,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,c_Groups_Otimes__class_Otimes(X2,X3,X1),X1) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4489]) ).

cnf(i_0_5161,plain,
    class_Rings_Odivision__ring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395]) ).

cnf(i_0_5162,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791]) ).

cnf(i_0_5163,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5164,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_3448]) ).

cnf(i_0_5165,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X3,X4),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2791]) ).

cnf(i_0_5166,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876]) ).

cnf(i_0_5167,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5168,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2876]) ).

cnf(i_0_5169,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877]) ).

cnf(i_0_5170,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5171,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2877]) ).

cnf(i_0_5172,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X2),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987]) ).

cnf(i_0_5173,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),
    inference(rename_variables,[],[i_0_3353]) ).

cnf(i_0_5174,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2987]) ).

cnf(i_0_5175,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988]) ).

cnf(i_0_5176,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1),
    inference(rename_variables,[],[i_0_3208]) ).

cnf(i_0_5177,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2988]) ).

cnf(i_0_5178,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989]) ).

cnf(i_0_5179,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1),
    inference(rename_variables,[],[i_0_3208]) ).

cnf(i_0_5180,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2989]) ).

cnf(i_0_5181,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017]) ).

cnf(i_0_5182,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5183,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X3,X2))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3017]) ).

cnf(i_0_5184,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018]) ).

cnf(i_0_5185,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5186,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3018]) ).

cnf(i_0_5187,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk17_0,esk20_0),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037]) ).

cnf(i_0_5188,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5189,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,esk17_0)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(rename_variables,[],[i_0_3037]) ).

cnf(i_0_5190,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_s____,esk20_0),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038]) ).

cnf(i_0_5191,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5192,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,v_s____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(rename_variables,[],[i_0_3038]) ).

cnf(i_0_5193,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048]) ).

cnf(i_0_5194,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5195,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3048]) ).

cnf(i_0_5196,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049]) ).

cnf(i_0_5197,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5198,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3049]) ).

cnf(i_0_5199,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058]) ).

cnf(i_0_5200,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5201,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3058]) ).

cnf(i_0_5202,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059]) ).

cnf(i_0_5203,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5204,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3059]) ).

cnf(i_0_5205,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083]) ).

cnf(i_0_5206,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3083]) ).

cnf(i_0_5207,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084]) ).

cnf(i_0_5208,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5209,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_5210,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088]) ).

cnf(i_0_5211,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3088]) ).

cnf(i_0_5212,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089]) ).

cnf(i_0_5213,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3089]) ).

cnf(i_0_5214,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090]) ).

cnf(i_0_5215,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3090]) ).

cnf(i_0_5216,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091]) ).

cnf(i_0_5217,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3091]) ).

cnf(i_0_5218,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092]) ).

cnf(i_0_5219,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3092]) ).

cnf(i_0_5220,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093]) ).

cnf(i_0_5221,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3093]) ).

cnf(i_0_5222,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095]) ).

cnf(i_0_5223,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5224,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3095]) ).

cnf(i_0_5225,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096]) ).

cnf(i_0_5226,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3096]) ).

cnf(i_0_5227,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097]) ).

cnf(i_0_5228,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3097]) ).

cnf(i_0_5229,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102]) ).

cnf(i_0_5230,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5231,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3102]) ).

cnf(i_0_5232,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105]) ).

cnf(i_0_5233,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3105]) ).

cnf(i_0_5234,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk2_0,esk2_0)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108]) ).

cnf(i_0_5235,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3108]) ).

cnf(i_0_5236,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109]) ).

cnf(i_0_5237,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3109]) ).

cnf(i_0_5238,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,esk2_0)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110]) ).

cnf(i_0_5239,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3110]) ).

cnf(i_0_5240,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114]) ).

cnf(i_0_5241,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3114]) ).

cnf(i_0_5242,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116]) ).

cnf(i_0_5243,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3116]) ).

cnf(i_0_5244,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117]) ).

cnf(i_0_5245,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3117]) ).

cnf(i_0_5246,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118]) ).

cnf(i_0_5247,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3118]) ).

cnf(i_0_5248,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139]) ).

cnf(i_0_5249,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5250,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3139]) ).

cnf(i_0_5251,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140]) ).

cnf(i_0_5252,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5253,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_5254,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3140]) ).

cnf(i_0_5255,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141]) ).

cnf(i_0_5256,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5257,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3141]) ).

cnf(i_0_5258,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),c_Int_OPls),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224]) ).

cnf(i_0_5259,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_5260,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3224]) ).

cnf(i_0_5261,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389]) ).

cnf(i_0_5262,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5263,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3389]) ).

cnf(i_0_5264,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477]) ).

cnf(i_0_5265,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1),
    inference(rename_variables,[],[i_0_3603]) ).

cnf(i_0_5266,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3477]) ).

cnf(i_0_5267,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530]) ).

cnf(i_0_5268,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5269,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3530]) ).

cnf(i_0_5270,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647]) ).

cnf(i_0_5271,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3647]) ).

cnf(i_0_5272,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649]) ).

cnf(i_0_5273,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_5274,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716]) ).

cnf(i_0_5275,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),
    inference(rename_variables,[],[i_0_3353]) ).

cnf(i_0_5276,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3716]) ).

cnf(i_0_5277,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724]) ).

cnf(i_0_5278,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3724]) ).

cnf(i_0_5279,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725]) ).

cnf(i_0_5280,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Rings_Olinordered__idom(X1)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3725]) ).

cnf(i_0_5281,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) != c_Int_OPls,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513]) ).

cnf(i_0_5282,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_5283,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oab__group__add(X1)
    | X4 = X5
    | X2 != X3 ),
    inference(rename_variables,[],[i_0_3513]) ).

cnf(i_0_5284,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),X1)),X1) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599]) ).

cnf(i_0_5285,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_4522]) ).

cnf(i_0_5286,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5287,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Otimes__class_Otimes(X2,X1,X4)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X4) = X1
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3599]) ).

cnf(i_0_5288,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),X2),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_3765,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600]) ).

cnf(i_0_5289,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),
    inference(rename_variables,[],[i_0_3765]) ).

cnf(i_0_5290,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X3) != X4
    | X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3600]) ).

cnf(i_0_5291,plain,
    X1 = c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_3765,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613]) ).

cnf(i_0_5292,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5293,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X4
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Otimes__class_Otimes(X1,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3613]) ).

cnf(i_0_5294,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_3765,i_0_5289,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614]) ).

cnf(i_0_5295,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),
    inference(rename_variables,[],[i_0_3765]) ).

cnf(i_0_5296,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5297,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X3) != X4
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Rings_Oinverse__class_Odivide(X1,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3614]) ).

cnf(i_0_5298,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk22_2(X2,X3)),X1),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617]) ).

cnf(i_0_5299,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),
    inference(rename_variables,[],[i_0_3765]) ).

cnf(i_0_5300,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) != X4
    | X3 = c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3617]) ).

cnf(i_0_5301,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750]) ).

cnf(i_0_5302,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5303,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Oring__no__zero__divisors(X1) ),
    inference(rename_variables,[],[i_0_3750]) ).

cnf(i_0_5304,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))) != c_NthRoot_Osqrt(esk22_2(X3,X4)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757]) ).

cnf(i_0_5305,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X4) != X1
    | X4 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3757]) ).

cnf(i_0_5306,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856]) ).

cnf(i_0_5307,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) = X1
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3856]) ).

cnf(i_0_5308,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857]) ).

cnf(i_0_5309,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3857]) ).

cnf(i_0_5310,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_NthRoot_Osqrt(esk22_2(X1,X2))),c_NthRoot_Osqrt(esk22_2(X1,X2))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865]) ).

cnf(i_0_5311,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5312,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) = c_Groups_Oone__class_Oone(X2)
    | X3 != X1
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3865]) ).

cnf(i_0_5313,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816]) ).

cnf(i_0_5314,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5315,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_2816]) ).

cnf(i_0_5316,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817]) ).

cnf(i_0_5317,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_2817]) ).

cnf(i_0_5318,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818]) ).

cnf(i_0_5319,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5320,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_2818]) ).

cnf(i_0_5321,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_3605,i_0_4646,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819]) ).

cnf(i_0_5322,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5323,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_2819]) ).

cnf(i_0_5324,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_3605,i_0_4646,i_0_5010,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845]) ).

cnf(i_0_5325,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_5326,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_5327,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_2845]) ).

cnf(i_0_5328,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_3605,i_0_4646,i_0_5010,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900]) ).

cnf(i_0_5329,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_5330,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2900]) ).

cnf(i_0_5331,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_3605,i_0_4646,i_0_5010,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902]) ).

cnf(i_0_5332,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_5333,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2902]) ).

cnf(i_0_5334,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_3605,i_0_4646,i_0_5010,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950]) ).

cnf(i_0_5335,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_5336,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2950]) ).

cnf(i_0_5337,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_3605,i_0_4646,i_0_5010,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951]) ).

cnf(i_0_5338,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_5339,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2951]) ).

cnf(i_0_5340,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952]) ).

cnf(i_0_5341,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_5342,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2952]) ).

cnf(i_0_5343,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),X2)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953]) ).

cnf(i_0_5344,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_5345,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_5346,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2953]) ).

cnf(i_0_5347,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_r,v_r)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954]) ).

cnf(i_0_5348,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Rings_Oinverse__class_Odivide(X1,X4,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2954]) ).

cnf(i_0_5349,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962]) ).

cnf(i_0_5350,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2962]) ).

cnf(i_0_5351,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963]) ).

cnf(i_0_5352,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2963]) ).

cnf(i_0_5353,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964]) ).

cnf(i_0_5354,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Rings_Oinverse__class_Odivide(X1,X4,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2964]) ).

cnf(i_0_5355,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978]) ).

cnf(i_0_5356,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5357,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2978]) ).

cnf(i_0_5358,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979]) ).

cnf(i_0_5359,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5360,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2979]) ).

cnf(i_0_5361,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981]) ).

cnf(i_0_5362,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5363,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2981]) ).

cnf(i_0_5364,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3))),X2),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986]) ).

cnf(i_0_5365,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_5366,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2986]) ).

cnf(i_0_5367,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079]) ).

cnf(i_0_5368,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5369,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3079]) ).

cnf(i_0_5370,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080]) ).

cnf(i_0_5371,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5372,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3080]) ).

cnf(i_0_5373,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_r,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081]) ).

cnf(i_0_5374,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3081]) ).

cnf(i_0_5375,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082]) ).

cnf(i_0_5376,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_5377,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1),
    inference(rename_variables,[],[i_0_3603]) ).

cnf(i_0_5378,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3082]) ).

cnf(i_0_5379,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085]) ).

cnf(i_0_5380,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5381,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3085]) ).

cnf(i_0_5382,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086]) ).

cnf(i_0_5383,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5384,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3086]) ).

cnf(i_0_5385,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094]) ).

cnf(i_0_5386,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5387,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3094]) ).

cnf(i_0_5388,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_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).

cnf(i_0_5389,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5390,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_3098]) ).

cnf(i_0_5391,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099]) ).

cnf(i_0_5392,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5393,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3099]) ).

cnf(i_0_5394,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_r,v_r)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100]) ).

cnf(i_0_5395,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3100]) ).

cnf(i_0_5396,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103]) ).

cnf(i_0_5397,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5398,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3103]) ).

cnf(i_0_5399,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104]) ).

cnf(i_0_5400,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5401,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3104]) ).

cnf(i_0_5402,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112]) ).

cnf(i_0_5403,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_3112]) ).

cnf(i_0_5404,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113]) ).

cnf(i_0_5405,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3113]) ).

cnf(i_0_5406,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115]) ).

cnf(i_0_5407,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3115]) ).

cnf(i_0_5408,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132]) ).

cnf(i_0_5409,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5410,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Power_Opower__class_Opower(X2,X3,X1))
    | ~ class_Rings_Olinordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_3132]) ).

cnf(i_0_5411,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137]) ).

cnf(i_0_5412,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3137]) ).

cnf(i_0_5413,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138]) ).

cnf(i_0_5414,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X4,X2))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3138]) ).

cnf(i_0_5415,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint)) = tc_Int_Oint,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177]) ).

cnf(i_0_5416,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1) = X2,
    inference(rename_variables,[],[i_0_3601]) ).

cnf(i_0_5417,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(rename_variables,[],[i_0_3962]) ).

cnf(i_0_5418,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_5419,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_3177]) ).

cnf(i_0_5420,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)),c_Int_OPls),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222]) ).

cnf(i_0_5421,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_5422,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3222]) ).

cnf(i_0_5423,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266]) ).

cnf(i_0_5424,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5425,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3266]) ).

cnf(i_0_5426,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471]) ).

cnf(i_0_5427,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X3,X2))
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Rings_Olinordered__idom(X3) ),
    inference(rename_variables,[],[i_0_3471]) ).

cnf(i_0_5428,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472]) ).

cnf(i_0_5429,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless(X3,c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X3,X2))
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Rings_Olinordered__idom(X3) ),
    inference(rename_variables,[],[i_0_3472]) ).

cnf(i_0_5430,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479]) ).

cnf(i_0_5431,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_5432,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3479]) ).

cnf(i_0_5433,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480]) ).

cnf(i_0_5434,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3480]) ).

cnf(i_0_5435,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481]) ).

cnf(i_0_5436,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_5437,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3481]) ).

cnf(i_0_5438,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527]) ).

cnf(i_0_5439,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_5440,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3527]) ).

cnf(i_0_5441,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Int_OPls))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529]) ).

cnf(i_0_5442,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3529]) ).

cnf(i_0_5443,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535]) ).

cnf(i_0_5444,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3535]) ).

cnf(i_0_5445,plain,
    c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X1,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608]) ).

cnf(i_0_5446,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5447,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5448,plain,
    ( X1 != c_Rings_Oinverse__class_Odivide(X2,X3,X4)
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X4) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3608]) ).

cnf(i_0_5449,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X1,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609]) ).

cnf(i_0_5450,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5451,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5452,plain,
    ( X1 != c_Groups_Otimes__class_Otimes(X2,X3,X4)
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X1,X4) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3609]) ).

cnf(i_0_5453,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611]) ).

cnf(i_0_5454,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5455,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) = X4
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3611]) ).

cnf(i_0_5456,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612]) ).

cnf(i_0_5457,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5458,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Otimes__class_Otimes(X2,X4,X1)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) = X4
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3612]) ).

cnf(i_0_5459,plain,
    c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760]) ).

cnf(i_0_5460,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5461,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,X3) != c_Groups_Oone__class_Oone(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3760]) ).

cnf(i_0_5462,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),X2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X3)) = X3,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932]) ).

cnf(i_0_5463,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,X2) != c_Int_Onumber__class_Onumber__of(X1,X3)
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3932]) ).

cnf(i_0_5464,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282]) ).

cnf(i_0_5465,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_4522]) ).

cnf(i_0_5466,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),
    inference(rename_variables,[],[i_0_3858]) ).

cnf(i_0_5467,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3282]) ).

cnf(i_0_5468,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874]) ).

cnf(i_0_5469,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(rename_variables,[],[i_0_3962]) ).

cnf(i_0_5470,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_3953]) ).

cnf(i_0_5471,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X4,c_Groups_Oone__class_Oone(X3))
    | c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X2),c_Power_Opower__class_Opower(X3,X4,X1))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2874]) ).

cnf(i_0_5472,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_3765,i_0_5289,i_0_5295,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276]) ).

cnf(i_0_5473,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5474,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5475,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) != c_Rings_Oinverse__class_Odivide(X2,X5,X1)
    | c_Groups_Otimes__class_Otimes(X2,X4,X1) = c_Groups_Otimes__class_Otimes(X2,X5,X3)
    | ~ class_Fields_Ofield(X2) ),
    inference(rename_variables,[],[i_0_3276]) ).

cnf(i_0_5476,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277]) ).

cnf(i_0_5477,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5478,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),
    inference(rename_variables,[],[i_0_3765]) ).

cnf(i_0_5479,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X4,X1) != c_Groups_Otimes__class_Otimes(X2,X5,X3)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) = c_Rings_Oinverse__class_Odivide(X2,X5,X1)
    | ~ class_Fields_Ofield(X2) ),
    inference(rename_variables,[],[i_0_3277]) ).

cnf(i_0_5480,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,esk22_2(X1,X2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838]) ).

cnf(i_0_5481,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5482,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(rename_variables,[],[i_0_2666]) ).

cnf(i_0_5483,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X5,X3))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2838]) ).

cnf(i_0_5484,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300]) ).

cnf(i_0_5485,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_3300]) ).

cnf(i_0_5486,plain,
    c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709]) ).

cnf(i_0_5487,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5488,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(rename_variables,[],[i_0_3709]) ).

cnf(i_0_5489,plain,
    c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505]) ).

cnf(i_0_5490,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5491,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2)
    | c_Power_Opower__class_Opower(X2,c_Groups_Ozero__class_Ozero(X2),X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2) ),
    inference(rename_variables,[],[i_0_4505]) ).

cnf(i_0_5492,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836]) ).

cnf(i_0_5493,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),
    inference(rename_variables,[],[i_0_3858]) ).

cnf(i_0_5494,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X4,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2836]) ).

cnf(i_0_5495,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837]) ).

cnf(i_0_5496,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_5497,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(rename_variables,[],[i_0_3962]) ).

cnf(i_0_5498,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),c_Groups_Otimes__class_Otimes(X1,X2,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2837]) ).

cnf(i_0_5499,plain,
    c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777]) ).

cnf(i_0_5500,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5501,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Ozero__class_Ozero(X3)
    | c_Power_Opower__class_Opower(X3,X2,X1) = c_Groups_Ozero__class_Ozero(X3)
    | ~ class_Power_Opower(X3)
    | ~ class_Rings_Omult__zero(X3)
    | ~ class_Rings_Ono__zero__divisors(X3)
    | ~ class_Rings_Ozero__neq__one(X3) ),
    inference(rename_variables,[],[i_0_3777]) ).

cnf(i_0_5502,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212]) ).

cnf(i_0_5503,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3212]) ).

cnf(i_0_5504,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk20_0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638]) ).

cnf(i_0_5505,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3638]) ).

cnf(i_0_5506,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639]) ).

cnf(i_0_5507,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3639]) ).

cnf(i_0_5508,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746]) ).

cnf(i_0_5509,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3746]) ).

cnf(i_0_5510,plain,
    c_NthRoot_Osqrt(X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775]) ).

cnf(i_0_5511,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3775]) ).

cnf(i_0_5512,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X2,
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950]) ).

cnf(i_0_5513,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3950]) ).

cnf(i_0_5514,plain,
    esk2_0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951]) ).

cnf(i_0_5515,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3951]) ).

cnf(i_0_5516,plain,
    c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081]) ).

cnf(i_0_5517,plain,
    ( c_NthRoot_Osqrt(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_4081]) ).

cnf(i_0_5518,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3)),X2),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148]) ).

cnf(i_0_5519,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3148]) ).

cnf(i_0_5520,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209]) ).

cnf(i_0_5521,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(rename_variables,[],[i_0_3209]) ).

cnf(i_0_5522,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk32_2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254]) ).

cnf(i_0_5523,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3254]) ).

cnf(i_0_5524,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255]) ).

cnf(i_0_5525,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3255]) ).

cnf(i_0_5526,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284]) ).

cnf(i_0_5527,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1) ),
    inference(rename_variables,[],[i_0_3284]) ).

cnf(i_0_5528,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293]) ).

cnf(i_0_5529,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3293]) ).

cnf(i_0_5530,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357]) ).

cnf(i_0_5531,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3357]) ).

cnf(i_0_5532,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424]) ).

cnf(i_0_5533,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3424]) ).

cnf(i_0_5534,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663]) ).

cnf(i_0_5535,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
    inference(rename_variables,[],[i_0_3663]) ).

cnf(i_0_5536,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762]) ).

cnf(i_0_5537,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1) ),
    inference(rename_variables,[],[i_0_3762]) ).

cnf(i_0_5538,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763]) ).

cnf(i_0_5539,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(rename_variables,[],[i_0_3763]) ).

cnf(i_0_5540,plain,
    c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797]) ).

cnf(i_0_5541,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3797]) ).

cnf(i_0_5542,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk22_2(X1,X2)),v_z____)))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk22_2(X1,X2)),v_z____)),esk2_0) ),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690]) ).

cnf(i_0_5543,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,v_z____)),esk2_0)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,v_z____))) ),
    inference(rename_variables,[],[i_0_2690]) ).

cnf(i_0_5544,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409]) ).

cnf(i_0_5545,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3409]) ).

cnf(i_0_5546,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438]) ).

cnf(i_0_5547,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3438]) ).

cnf(i_0_5548,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681]) ).

cnf(i_0_5549,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3681]) ).

cnf(i_0_5550,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X1),X2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984]) ).

cnf(i_0_5551,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3984]) ).

cnf(i_0_5552,plain,
    ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358]) ).

cnf(i_0_5553,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_5554,plain,
    ~ c_Int_Oiszero(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359]) ).

cnf(i_0_5555,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359,i_0_2925]) ).

cnf(i_0_5556,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_3321]) ).

cnf(i_0_5557,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_2925]) ).

cnf(i_0_5558,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),X1),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359,i_0_2925,i_0_3016]) ).

cnf(i_0_5559,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_5560,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X4) ),
    inference(rename_variables,[],[i_0_3016]) ).

cnf(i_0_5561,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359,i_0_2925,i_0_3016,i_0_3679]) ).

cnf(i_0_5562,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3679]) ).

cnf(i_0_5563,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_5500,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4155,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359,i_0_2925,i_0_3016,i_0_3679,i_0_3752]) ).

cnf(i_0_5564,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5565,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ono__zero__divisors(X1) ),
    inference(rename_variables,[],[i_0_3752]) ).

cnf(i_0_5566,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_5500,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4155,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359,i_0_2925,i_0_3016,i_0_3679,i_0_3752,i_0_2901]) ).

cnf(i_0_5567,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2901]) ).

cnf(i_0_5568,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_5500,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4155,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359,i_0_2925,i_0_3016,i_0_3679,i_0_3752,i_0_2901,i_0_3053]) ).

cnf(i_0_5569,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3053]) ).

cnf(i_0_5570,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_5500,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4155,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359,i_0_2925,i_0_3016,i_0_3679,i_0_3752,i_0_2901,i_0_3053,i_0_3253]) ).

cnf(i_0_5571,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3253]) ).

cnf(i_0_5572,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk5_1(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(v_f____,X1)),v_z____))),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(v_f____,X1)),v_z____))) ),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_5262,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_5500,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4155,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359,i_0_2925,i_0_3016,i_0_3679,i_0_3752,i_0_2901,i_0_3053,i_0_3253,i_0_2824]) ).

cnf(i_0_5573,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_5574,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(v_f____,X1)),v_z____)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk5_1(X2),X1) ),
    inference(rename_variables,[],[i_0_2824]) ).

cnf(i_0_5575,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(v_f____,X1)),v_z____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk5_1(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(v_f____,X1)),v_z____))),X1) ),
    inference(scs_inference,[],[i_0_4518,i_0_4585,i_0_4824,i_0_4826,i_0_5163,i_0_5167,i_0_5170,i_0_5182,i_0_5185,i_0_5188,i_0_5191,i_0_5194,i_0_5197,i_0_5200,i_0_5203,i_0_5249,i_0_5256,i_0_5262,i_0_3852,i_0_3959,i_0_3448,i_0_2716,i_0_4503,i_0_4517,i_0_4594,i_0_4667,i_0_4670,i_0_4747,i_0_5253,i_0_5329,i_0_5332,i_0_5431,i_0_4522,i_0_4833,i_0_5285,i_0_5465,i_0_4486,i_0_4729,i_0_4757,i_0_4788,i_0_5003,i_0_5082,i_0_5085,i_0_5268,i_0_5322,i_0_5359,i_0_5362,i_0_5400,i_0_5409,i_0_4519,i_0_4487,i_0_4464,i_0_3810,i_0_4603,i_0_4811,i_0_4889,i_0_4907,i_0_4910,i_0_4913,i_0_5000,i_0_5027,i_0_5123,i_0_5153,i_0_5156,i_0_5159,i_0_5292,i_0_5296,i_0_5302,i_0_5447,i_0_5451,i_0_5460,i_0_5474,i_0_5477,i_0_5490,i_0_5500,i_0_3800,i_0_4673,i_0_4744,i_0_3928,i_0_3849,i_0_3962,i_0_4630,i_0_4633,i_0_5417,i_0_5469,i_0_3963,i_0_4649,i_0_4991,i_0_5051,i_0_5054,i_0_5057,i_0_5060,i_0_5076,i_0_5079,i_0_5088,i_0_5102,i_0_5223,i_0_5252,i_0_5314,i_0_5319,i_0_5356,i_0_5368,i_0_5386,i_0_5389,i_0_5424,i_0_3964,i_0_4617,i_0_4696,i_0_4701,i_0_4714,i_0_4717,i_0_4722,i_0_5046,i_0_5097,i_0_5208,i_0_5230,i_0_5371,i_0_5380,i_0_5383,i_0_5392,i_0_5397,i_0_4085,i_0_4600,i_0_4612,i_0_4652,i_0_4732,i_0_4754,i_0_4822,i_0_4874,i_0_4878,i_0_4892,i_0_4915,i_0_4994,i_0_5065,i_0_5126,i_0_5137,i_0_5142,i_0_5145,i_0_5148,i_0_5286,i_0_5311,i_0_5446,i_0_5450,i_0_5454,i_0_5457,i_0_5487,i_0_3765,i_0_5289,i_0_5295,i_0_5299,i_0_3965,i_0_4845,i_0_3967,i_0_4861,i_0_5259,i_0_5282,i_0_4090,i_0_3352,i_0_4588,i_0_4591,i_0_4686,i_0_3353,i_0_4664,i_0_5036,i_0_5173,i_0_3603,i_0_5023,i_0_5069,i_0_5129,i_0_5265,i_0_5377,i_0_3604,i_0_4639,i_0_4655,i_0_4658,i_0_5009,i_0_5015,i_0_5326,i_0_5335,i_0_5338,i_0_5344,i_0_5365,i_0_5376,i_0_3605,i_0_4646,i_0_5010,i_0_5325,i_0_5341,i_0_5345,i_0_3958,i_0_3819,i_0_4781,i_0_5039,i_0_3953,i_0_5066,i_0_3957,i_0_4084,i_0_3858,i_0_5120,i_0_5466,i_0_4093,i_0_4097,i_0_4101,i_0_4104,i_0_4106,i_0_4107,i_0_4108,i_0_4109,i_0_4110,i_0_4111,i_0_4112,i_0_4115,i_0_4117,i_0_4118,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4127,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4136,i_0_4140,i_0_4142,i_0_4145,i_0_4148,i_0_4149,i_0_4153,i_0_4155,i_0_4156,i_0_4157,i_0_4160,i_0_4161,i_0_4164,i_0_4165,i_0_4169,i_0_4172,i_0_4173,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4182,i_0_4186,i_0_4190,i_0_4193,i_0_4195,i_0_4196,i_0_4197,i_0_4199,i_0_4202,i_0_4203,i_0_4204,i_0_4207,i_0_4211,i_0_4213,i_0_4214,i_0_4215,i_0_4216,i_0_4219,i_0_4220,i_0_4224,i_0_4228,i_0_4232,i_0_4237,i_0_4239,i_0_4241,i_0_4242,i_0_4244,i_0_4245,i_0_4246,i_0_4247,i_0_4249,i_0_4250,i_0_4253,i_0_4255,i_0_4256,i_0_4260,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4270,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4281,i_0_4283,i_0_4284,i_0_4285,i_0_4286,i_0_4290,i_0_4293,i_0_4294,i_0_4295,i_0_4297,i_0_4298,i_0_4299,i_0_4301,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_3862,i_0_3938,i_0_4091,i_0_3321,i_0_4680,i_0_4683,i_0_4917,i_0_4919,i_0_3595,i_0_4636,i_0_3070,i_0_4627,i_0_3208,i_0_4570,i_0_4764,i_0_5176,i_0_3601,i_0_4597,i_0_4840,i_0_3811,i_0_3943,i_0_5042,i_0_3311,i_0_3665,i_0_3886,i_0_3977,i_0_3500,i_0_3589,i_0_3442,i_0_3598,i_0_3835,i_0_3168,i_0_4623,i_0_3838,i_0_2753,i_0_2741,i_0_2714,i_0_2715,i_0_2666,i_0_4707,i_0_2739,i_0_2728,i_0_2717,i_0_2688,i_0_4562,i_0_4564,i_0_3294,i_0_3328,i_0_3622,i_0_3635,i_0_3694,i_0_3778,i_0_3829,i_0_3895,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_3936,i_0_4087,i_0_4440,i_0_4470,i_0_4313,i_0_4330,i_0_4331,i_0_2937,i_0_3028,i_0_3030,i_0_3031,i_0_3162,i_0_3163,i_0_3210,i_0_3251,i_0_3256,i_0_3258,i_0_3271,i_0_3272,i_0_3273,i_0_3347,i_0_3350,i_0_3351,i_0_3358,i_0_3359,i_0_3364,i_0_3366,i_0_3368,i_0_3370,i_0_3372,i_0_3417,i_0_3425,i_0_3493,i_0_3559,i_0_3563,i_0_3576,i_0_3606,i_0_3620,i_0_3621,i_0_3630,i_0_3632,i_0_3633,i_0_3636,i_0_3637,i_0_3660,i_0_3662,i_0_3686,i_0_3691,i_0_3692,i_0_3744,i_0_3761,i_0_3804,i_0_3893,i_0_3927,i_0_3935,i_0_4086,i_0_2843,i_0_2932,i_0_2934,i_0_3128,i_0_3129,i_0_3227,i_0_3245,i_0_3303,i_0_3304,i_0_3308,i_0_3309,i_0_3315,i_0_3506,i_0_3508,i_0_3511,i_0_3516,i_0_3518,i_0_3545,i_0_3546,i_0_3550,i_0_3553,i_0_3554,i_0_3657,i_0_3659,i_0_3736,i_0_3780,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_4369,i_0_4370,i_0_4371,i_0_2693,i_0_2721,i_0_2781,i_0_3415,i_0_3558,i_0_3627,i_0_3739,i_0_3740,i_0_3741,i_0_3768,i_0_3769,i_0_3772,i_0_3773,i_0_3867,i_0_3868,i_0_3869,i_0_3870,i_0_3888,i_0_3899,i_0_3916,i_0_3921,i_0_3922,i_0_3923,i_0_3974,i_0_3978,i_0_3980,i_0_3997,i_0_3998,i_0_3999,i_0_4004,i_0_4005,i_0_4006,i_0_4492,i_0_4493,i_0_4314,i_0_4355,i_0_4356,i_0_4357,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4408,i_0_4409,i_0_4410,i_0_4411,i_0_4412,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_2903,i_0_2926,i_0_2928,i_0_3012,i_0_3075,i_0_3124,i_0_3161,i_0_3166,i_0_3176,i_0_3180,i_0_3188,i_0_3193,i_0_3243,i_0_3264,i_0_3292,i_0_3302,i_0_3305,i_0_3306,i_0_3307,i_0_3319,i_0_3408,i_0_3414,i_0_3418,i_0_3419,i_0_3420,i_0_3429,i_0_3431,i_0_3432,i_0_3434,i_0_3436,i_0_3473,i_0_3475,i_0_3495,i_0_3505,i_0_3507,i_0_3510,i_0_3515,i_0_3517,i_0_3540,i_0_3541,i_0_3543,i_0_3569,i_0_3570,i_0_3571,i_0_3655,i_0_3675,i_0_3678,i_0_3731,i_0_3754,i_0_3779,i_0_3813,i_0_3814,i_0_3866,i_0_3976,i_0_3982,i_0_3996,i_0_4488,i_0_4489,i_0_4395,i_0_2791,i_0_2876,i_0_2877,i_0_2987,i_0_2988,i_0_2989,i_0_3017,i_0_3018,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3083,i_0_3084,i_0_3088,i_0_3089,i_0_3090,i_0_3091,i_0_3092,i_0_3093,i_0_3095,i_0_3096,i_0_3097,i_0_3102,i_0_3105,i_0_3108,i_0_3109,i_0_3110,i_0_3114,i_0_3116,i_0_3117,i_0_3118,i_0_3139,i_0_3140,i_0_3141,i_0_3224,i_0_3389,i_0_3477,i_0_3530,i_0_3647,i_0_3649,i_0_3716,i_0_3724,i_0_3725,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3617,i_0_3750,i_0_3757,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2819,i_0_2845,i_0_2900,i_0_2902,i_0_2950,i_0_2951,i_0_2952,i_0_2953,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_2979,i_0_2981,i_0_2986,i_0_3079,i_0_3080,i_0_3081,i_0_3082,i_0_3085,i_0_3086,i_0_3094,i_0_3098,i_0_3099,i_0_3100,i_0_3103,i_0_3104,i_0_3112,i_0_3113,i_0_3115,i_0_3132,i_0_3137,i_0_3138,i_0_3177,i_0_3222,i_0_3266,i_0_3471,i_0_3472,i_0_3479,i_0_3480,i_0_3481,i_0_3527,i_0_3529,i_0_3535,i_0_3608,i_0_3609,i_0_3611,i_0_3612,i_0_3760,i_0_3932,i_0_3282,i_0_2874,i_0_3276,i_0_3277,i_0_2838,i_0_3300,i_0_3709,i_0_4505,i_0_2836,i_0_2837,i_0_3777,i_0_3212,i_0_3638,i_0_3639,i_0_3746,i_0_3775,i_0_3950,i_0_3951,i_0_4081,i_0_3148,i_0_3209,i_0_3254,i_0_3255,i_0_3284,i_0_3293,i_0_3357,i_0_3424,i_0_3663,i_0_3762,i_0_3763,i_0_3797,i_0_2690,i_0_3409,i_0_3438,i_0_3681,i_0_3984,i_0_4358,i_0_4359,i_0_2925,i_0_3016,i_0_3679,i_0_3752,i_0_2901,i_0_3053,i_0_3253,i_0_2824,i_0_3793]) ).

cnf(i_0_5576,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2))
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(rename_variables,[],[i_0_3793]) ).

cnf(i_0_5577,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3811]) ).

cnf(i_0_5578,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_5579,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1) = X2,
    inference(rename_variables,[],[i_0_3601]) ).

cnf(i_0_5581,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),
    inference(scs_inference,[],[i_0_5558,i_0_3345]) ).

cnf(i_0_5582,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),X1),
    inference(rename_variables,[],[i_0_5558]) ).

cnf(i_0_5583,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3345]) ).

cnf(i_0_5584,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5558,i_0_5002,i_0_3345,i_0_3260]) ).

cnf(i_0_5585,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(rename_variables,[],[i_0_5002]) ).

cnf(i_0_5586,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3260]) ).

cnf(i_0_5587,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_3275,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562]) ).

cnf(i_0_5588,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(X1)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rename_variables,[],[i_0_4562]) ).

cnf(i_0_5589,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_z____)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_3275,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564]) ).

cnf(i_0_5590,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X1),v_z____)),X1) ),
    inference(rename_variables,[],[i_0_4564]) ).

cnf(i_0_5591,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_3275,i_0_5227,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212]) ).

cnf(i_0_5592,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3212]) ).

cnf(i_0_5593,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_3275,i_0_5255,i_0_5227,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294]) ).

cnf(i_0_5594,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5255]) ).

cnf(i_0_5595,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3294]) ).

cnf(i_0_5596,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_3275,i_0_5255,i_0_5506,i_0_5227,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746]) ).

cnf(i_0_5597,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3746]) ).

cnf(i_0_5598,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk22_2(X1,X2)),v_z____)) != esk22_2(X1,X2),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_5255,i_0_5506,i_0_5227,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829]) ).

cnf(i_0_5599,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3829]) ).

cnf(i_0_5600,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,esk2_0) = esk2_0,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4798,i_0_5255,i_0_5506,i_0_5227,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895]) ).

cnf(i_0_5601,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = X1 ),
    inference(rename_variables,[],[i_0_3895]) ).

cnf(i_0_5602,plain,
    c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4798,i_0_5255,i_0_5506,i_0_5227,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775]) ).

cnf(i_0_5603,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3775]) ).

cnf(i_0_5604,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4798,i_0_5255,i_0_5506,i_0_5227,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809]) ).

cnf(i_0_5605,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5606,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3809]) ).

cnf(i_0_5607,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) != X1,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4798,i_0_5255,i_0_5506,i_0_5227,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816]) ).

cnf(i_0_5608,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_5609,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != X2 ),
    inference(rename_variables,[],[i_0_3816]) ).

cnf(i_0_5610,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3) != X1,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4798,i_0_5255,i_0_4759,i_0_5506,i_0_5227,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825]) ).

cnf(i_0_5611,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_5612,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4798,i_0_5255,i_0_4759,i_0_5506,i_0_5227,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827]) ).

cnf(i_0_5613,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3827]) ).

cnf(i_0_5614,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4798,i_0_5255,i_0_4759,i_0_5506,i_0_5227,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828]) ).

cnf(i_0_5615,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3828]) ).

cnf(i_0_5616,plain,
    c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4798,i_0_4584,i_0_5255,i_0_4759,i_0_5506,i_0_5227,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087]) ).

cnf(i_0_5617,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_4087]) ).

cnf(i_0_5618,plain,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,esk2_0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = esk2_0,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_4759,i_0_5506,i_0_5227,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440]) ).

cnf(i_0_5619,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = X1 ),
    inference(rename_variables,[],[i_0_4440]) ).

cnf(i_0_5620,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_5506,i_0_5227,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470]) ).

cnf(i_0_5621,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1) ),
    inference(rename_variables,[],[i_0_4470]) ).

cnf(i_0_5622,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),X2),X1),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_5274,i_0_5506,i_0_5227,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028]) ).

cnf(i_0_5623,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),
    inference(rename_variables,[],[i_0_5274]) ).

cnf(i_0_5624,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2) ),
    inference(rename_variables,[],[i_0_3028]) ).

cnf(i_0_5625,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209]) ).

cnf(i_0_5626,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(rename_variables,[],[i_0_3209]) ).

cnf(i_0_5627,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk2_0),esk2_0),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_4602,i_0_4611,i_0_5484,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210]) ).

cnf(i_0_5628,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(rename_variables,[],[i_0_3210]) ).

cnf(i_0_5629,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_4602,i_0_4611,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493]) ).

cnf(i_0_5630,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2),X1) ),
    inference(rename_variables,[],[i_0_3493]) ).

cnf(i_0_5631,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_4602,i_0_4611,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_4700,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630]) ).

cnf(i_0_5632,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4700]) ).

cnf(i_0_5633,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3630]) ).

cnf(i_0_5634,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_4602,i_0_4611,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636]) ).

cnf(i_0_5635,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),X1),
    inference(rename_variables,[],[i_0_4695]) ).

cnf(i_0_5636,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3636]) ).

cnf(i_0_5637,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_4602,i_0_4611,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662]) ).

cnf(i_0_5638,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4756]) ).

cnf(i_0_5639,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1) ),
    inference(rename_variables,[],[i_0_3662]) ).

cnf(i_0_5640,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_4602,i_0_4611,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692]) ).

cnf(i_0_5641,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3692]) ).

cnf(i_0_5642,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_4602,i_0_4611,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744]) ).

cnf(i_0_5643,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1) ),
    inference(rename_variables,[],[i_0_3744]) ).

cnf(i_0_5644,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5251,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_4602,i_0_4611,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893]) ).

cnf(i_0_5645,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_5646,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = X1 ),
    inference(rename_variables,[],[i_0_3893]) ).

cnf(i_0_5647,plain,
    c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5251,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086]) ).

cnf(i_0_5648,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5649,plain,
    ( X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_4086]) ).

cnf(i_0_5650,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_NthRoot_Osqrt(esk20_0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5251,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638]) ).

cnf(i_0_5651,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3638]) ).

cnf(i_0_5652,plain,
    c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5251,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778]) ).

cnf(i_0_5653,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3778]) ).

cnf(i_0_5654,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),X3),X2)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5251,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030]) ).

cnf(i_0_5655,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_4632]) ).

cnf(i_0_5656,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)) ),
    inference(rename_variables,[],[i_0_3030]) ).

cnf(i_0_5657,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X2)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5251,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031]) ).

cnf(i_0_5658,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_5659,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) ),
    inference(rename_variables,[],[i_0_3031]) ).

cnf(i_0_5660,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350]) ).

cnf(i_0_5661,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_5662,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3350]) ).

cnf(i_0_5663,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_5172,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366]) ).

cnf(i_0_5664,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X2),
    inference(rename_variables,[],[i_0_5172]) ).

cnf(i_0_5665,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3366]) ).

cnf(i_0_5666,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X3),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368]) ).

cnf(i_0_5667,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X2),
    inference(rename_variables,[],[i_0_5172]) ).

cnf(i_0_5668,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3368]) ).

cnf(i_0_5669,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637]) ).

cnf(i_0_5670,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3637]) ).

cnf(i_0_5671,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1,X1),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927]) ).

cnf(i_0_5672,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
    inference(rename_variables,[],[i_0_3927]) ).

cnf(i_0_5673,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk22_2(X1,X2)),v_z____)),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694]) ).

cnf(i_0_5674,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(rename_variables,[],[i_0_3694]) ).

cnf(i_0_5675,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574]) ).

cnf(i_0_5676,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_5677,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3574]) ).

cnf(i_0_5678,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)) != X2,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587]) ).

cnf(i_0_5679,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_5680,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3587]) ).

cnf(i_0_5681,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) != X1,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588]) ).

cnf(i_0_5682,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_5683,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3588]) ).

cnf(i_0_5684,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674]) ).

cnf(i_0_5685,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
    inference(rename_variables,[],[i_0_5064]) ).

cnf(i_0_5686,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3674]) ).

cnf(i_0_5687,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936]) ).

cnf(i_0_5688,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5689,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = X2 ),
    inference(rename_variables,[],[i_0_3936]) ).

cnf(i_0_5690,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253]) ).

cnf(i_0_5691,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),
    inference(rename_variables,[],[i_0_5101]) ).

cnf(i_0_5692,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3253]) ).

cnf(i_0_5693,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4)),X3),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372]) ).

cnf(i_0_5694,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_5695,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3372]) ).

cnf(i_0_5696,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563]) ).

cnf(i_0_5697,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(rename_variables,[],[i_0_3563]) ).

cnf(i_0_5698,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(esk2_0)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632]) ).

cnf(i_0_5699,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3632]) ).

cnf(i_0_5700,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_4632,i_0_5002,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686]) ).

cnf(i_0_5701,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5702,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3686]) ).

cnf(i_0_5703,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5002,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762]) ).

cnf(i_0_5704,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1) ),
    inference(rename_variables,[],[i_0_3762]) ).

cnf(i_0_5705,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X2,X3),X1)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5002,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763]) ).

cnf(i_0_5706,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(rename_variables,[],[i_0_3763]) ).

cnf(i_0_5707,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3) != X3,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5002,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951]) ).

cnf(i_0_5708,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3951]) ).

cnf(i_0_5709,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X2),X1),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5002,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162]) ).

cnf(i_0_5710,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_4632]) ).

cnf(i_0_5711,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3162]) ).

cnf(i_0_5712,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255]) ).

cnf(i_0_5713,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(rename_variables,[],[i_0_5002]) ).

cnf(i_0_5714,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3255]) ).

cnf(i_0_5715,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X3)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271]) ).

cnf(i_0_5716,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_4632]) ).

cnf(i_0_5717,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3271]) ).

cnf(i_0_5718,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3),X3)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272]) ).

cnf(i_0_5719,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_4632]) ).

cnf(i_0_5720,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3272]) ).

cnf(i_0_5721,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),X4)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364]) ).

cnf(i_0_5722,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)),
    inference(rename_variables,[],[i_0_4677]) ).

cnf(i_0_5723,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3364]) ).

cnf(i_0_5724,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4)),X2),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370]) ).

cnf(i_0_5725,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_5726,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3370]) ).

cnf(i_0_5727,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425]) ).

cnf(i_0_5728,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_5729,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3425]) ).

cnf(i_0_5730,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797]) ).

cnf(i_0_5731,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3797]) ).

cnf(i_0_5732,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X3),X2),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148]) ).

cnf(i_0_5733,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3148]) ).

cnf(i_0_5734,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk32_2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163]) ).

cnf(i_0_5735,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3163]) ).

cnf(i_0_5736,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),X2),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347]) ).

cnf(i_0_5737,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_5738,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3347]) ).

cnf(i_0_5739,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691]) ).

cnf(i_0_5740,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3691]) ).

cnf(i_0_5741,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639]) ).

cnf(i_0_5742,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3639]) ).

cnf(i_0_5743,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351]) ).

cnf(i_0_5744,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_5745,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3351]) ).

cnf(i_0_5746,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2),X3)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357]) ).

cnf(i_0_5747,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3357]) ).

cnf(i_0_5748,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3)))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761]) ).

cnf(i_0_5749,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3761]) ).

cnf(i_0_5750,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))),X1),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_5078,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256]) ).

cnf(i_0_5751,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X1),
    inference(rename_variables,[],[i_0_5078]) ).

cnf(i_0_5752,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3256]) ).

cnf(i_0_5753,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_5078,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258]) ).

cnf(i_0_5754,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5755,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3258]) ).

cnf(i_0_5756,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_5078,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660]) ).

cnf(i_0_5757,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5758,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(rename_variables,[],[i_0_3660]) ).

cnf(i_0_5759,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_5078,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273]) ).

cnf(i_0_5760,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_5761,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3273]) ).

cnf(i_0_5762,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937]) ).

cnf(i_0_5763,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_5324]) ).

cnf(i_0_5764,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_2937]) ).

cnf(i_0_5765,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663]) ).

cnf(i_0_5766,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),
    inference(rename_variables,[],[i_0_5101]) ).

cnf(i_0_5767,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
    inference(rename_variables,[],[i_0_3663]) ).

cnf(i_0_5768,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424]) ).

cnf(i_0_5769,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X2),
    inference(rename_variables,[],[i_0_5172]) ).

cnf(i_0_5770,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3424]) ).

cnf(i_0_5771,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2) != X2,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950]) ).

cnf(i_0_5772,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3950]) ).

cnf(i_0_5773,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X2)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251]) ).

cnf(i_0_5774,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_4632]) ).

cnf(i_0_5775,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3251]) ).

cnf(i_0_5776,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X1,X2,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328]) ).

cnf(i_0_5777,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X2,X3,X1)) ),
    inference(rename_variables,[],[i_0_3328]) ).

cnf(i_0_5778,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635]) ).

cnf(i_0_5779,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3635]) ).

cnf(i_0_5780,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254]) ).

cnf(i_0_5781,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3254]) ).

cnf(i_0_5782,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313]) ).

cnf(i_0_5783,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330]) ).

cnf(i_0_5784,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) != X1,
    inference(rename_variables,[],[i_0_4590]) ).

cnf(i_0_5785,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5324,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331]) ).

cnf(i_0_5786,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X2,
    inference(rename_variables,[],[i_0_5512]) ).

cnf(i_0_5787,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474]) ).

cnf(i_0_5788,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),
    inference(rename_variables,[],[i_0_5084]) ).

cnf(i_0_5789,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3474]) ).

cnf(i_0_5790,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4274,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190]) ).

cnf(i_0_5791,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3190]) ).

cnf(i_0_5792,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4858,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4274,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214]) ).

cnf(i_0_5793,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3214]) ).

cnf(i_0_5794,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3)))) = X1,
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4858,i_0_5453,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4274,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566]) ).

cnf(i_0_5795,plain,
    c_NthRoot_Osqrt(esk22_2(X1,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_4580]) ).

cnf(i_0_5796,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(rename_variables,[],[i_0_5453]) ).

cnf(i_0_5797,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3566]) ).

cnf(i_0_5798,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4858,i_0_5453,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4274,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126]) ).

cnf(i_0_5799,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3126]) ).

cnf(i_0_5800,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)),X3),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4858,i_0_5453,i_0_5064,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4274,i_0_4196,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127]) ).

cnf(i_0_5801,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3127]) ).

cnf(i_0_5802,plain,
    X1 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961]) ).

cnf(i_0_5803,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(rename_variables,[],[i_0_5147]) ).

cnf(i_0_5804,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Groups_Ogroup__add(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3961]) ).

cnf(i_0_5805,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120]) ).

cnf(i_0_5806,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4599]) ).

cnf(i_0_5807,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
    inference(rename_variables,[],[i_0_3120]) ).

cnf(i_0_5808,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X6),X5),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013]) ).

cnf(i_0_5809,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X4) ),
    inference(rename_variables,[],[i_0_3013]) ).

cnf(i_0_5810,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130]) ).

cnf(i_0_5811,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3130]) ).

cnf(i_0_5812,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131]) ).

cnf(i_0_5813,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3131]) ).

cnf(i_0_5814,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X1),
    inference(scs_inference,[],[i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125]) ).

cnf(i_0_5815,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3125]) ).

cnf(i_0_5816,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X1,X2))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873]) ).

cnf(i_0_5817,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X1))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3) ),
    inference(rename_variables,[],[i_0_2873]) ).

cnf(i_0_5818,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X5))),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X4)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872]) ).

cnf(i_0_5819,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_5820,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2872]) ).

cnf(i_0_5821,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),X3)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843]) ).

cnf(i_0_5822,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4756]) ).

cnf(i_0_5823,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2843]) ).

cnf(i_0_5824,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_w____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_4847,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227]) ).

cnf(i_0_5825,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_5826,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3227]) ).

cnf(i_0_5827,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_w____))),esk15_0),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245]) ).

cnf(i_0_5828,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_5829,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,esk15_0) ),
    inference(rename_variables,[],[i_0_3245]) ).

cnf(i_0_5830,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315]) ).

cnf(i_0_5831,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3315]) ).

cnf(i_0_5832,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438]) ).

cnf(i_0_5833,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3438]) ).

cnf(i_0_5834,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk22_2(X1,X2),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk22_2(X1,X2)),v_z____))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545]) ).

cnf(i_0_5835,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3545]) ).

cnf(i_0_5836,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785]) ).

cnf(i_0_5837,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3785]) ).

cnf(i_0_5838,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787]) ).

cnf(i_0_5839,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3787]) ).

cnf(i_0_5840,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788]) ).

cnf(i_0_5841,plain,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3788]) ).

cnf(i_0_5842,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789]) ).

cnf(i_0_5843,plain,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3789]) ).

cnf(i_0_5844,plain,
    c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,esk2_0,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))) = esk2_0,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4964,i_0_4602,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721]) ).

cnf(i_0_5845,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))),
    inference(rename_variables,[],[i_0_4871]) ).

cnf(i_0_5846,plain,
    ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) != X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(X2) = X1 ),
    inference(rename_variables,[],[i_0_2721]) ).

cnf(i_0_5847,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),X1,X2),X3) = c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),X4,X2),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),X1,X4),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781]) ).

cnf(i_0_5848,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4909]) ).

cnf(i_0_5849,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5) != X6
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2781]) ).

cnf(i_0_5850,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415]) ).

cnf(i_0_5851,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2),
    inference(rename_variables,[],[i_0_3233]) ).

cnf(i_0_5852,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != X3
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3415]) ).

cnf(i_0_5853,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_5453,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627]) ).

cnf(i_0_5854,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3627]) ).

cnf(i_0_5855,plain,
    c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740]) ).

cnf(i_0_5856,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),X2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X3)) = X3,
    inference(rename_variables,[],[i_0_5462]) ).

cnf(i_0_5857,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3740]) ).

cnf(i_0_5858,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741]) ).

cnf(i_0_5859,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3741]) ).

cnf(i_0_5860,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772]) ).

cnf(i_0_5861,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5862,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869]) ).

cnf(i_0_5863,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_3869]) ).

cnf(i_0_5864,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4264,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870]) ).

cnf(i_0_5865,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Odivision__ring__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3870]) ).

cnf(i_0_5866,plain,
    hAPP(c_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))))),X1) = c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4264,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899]) ).

cnf(i_0_5867,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5868,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | hAPP(c_Polynomial_Opoly(X2,X1),X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oidom(X2) ),
    inference(rename_variables,[],[i_0_3899]) ).

cnf(i_0_5869,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4264,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921]) ).

cnf(i_0_5870,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | c_Orderings_Oord__class_Oless__eq(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3921]) ).

cnf(i_0_5871,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4264,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922]) ).

cnf(i_0_5872,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | X2 != X3
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3922]) ).

cnf(i_0_5873,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))) = X1,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974]) ).

cnf(i_0_5874,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_5875,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != X3
    | c_Groups_Ouminus__class_Ouminus(X1,X3) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3974]) ).

cnf(i_0_5876,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978]) ).

cnf(i_0_5877,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_5878,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Groups_Ozero(X2) ),
    inference(rename_variables,[],[i_0_3978]) ).

cnf(i_0_5879,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4196,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980]) ).

cnf(i_0_5880,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5881,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Groups_Ozero(X2) ),
    inference(rename_variables,[],[i_0_3980]) ).

cnf(i_0_5882,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4196,i_0_4278,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999]) ).

cnf(i_0_5883,plain,
    ( c_Groups_Ozero__class_Ozero(X1) != X2
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3999]) ).

cnf(i_0_5884,plain,
    c_Int_Oiszero(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4178,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4196,i_0_4278,i_0_4266,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006]) ).

cnf(i_0_5885,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Osemiring__1(X2)
    | c_Int_Oiszero(X2,X1) ),
    inference(rename_variables,[],[i_0_4006]) ).

cnf(i_0_5886,plain,
    X1 = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4178,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492]) ).

cnf(i_0_5887,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Otimes__class_Otimes(X2,c_Rings_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4492]) ).

cnf(i_0_5888,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4178,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493]) ).

cnf(i_0_5889,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Rings_Oinverse__class_Odivide(X2,c_Groups_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4493]) ).

cnf(i_0_5890,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726]) ).

cnf(i_0_5891,plain,
    c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,X1,X1),
    inference(rename_variables,[],[i_0_4749]) ).

cnf(i_0_5892,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk9_4(X3,X2,X4,X1)),hAPP(X3,esk9_4(X3,X2,X4,X1)))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X1),X2,X3)
    | ~ class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2726]) ).

cnf(i_0_5893,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),X3,X1),X2),X4))) = c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),X3,X2),X4),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782]) ).

cnf(i_0_5894,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5895,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,c_Groups_Ominus__class_Ominus(X2,X3,X4),X5),X6)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X4,X5),X1) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X5),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2782]) ).

cnf(i_0_5896,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2),c_Groups_Oone__class_Oone(tc_Int_Oint)) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,X3,X2),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3),X2)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783]) ).

cnf(i_0_5897,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)) != X1,
    inference(rename_variables,[],[i_0_4593]) ).

cnf(i_0_5898,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5) = X6
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) != c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2783]) ).

cnf(i_0_5899,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),X3,X1),X2),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) != c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),X3,X2),X4),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784]) ).

cnf(i_0_5900,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_5901,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,c_Groups_Ominus__class_Ominus(X2,X3,X4),X5),X6)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X4,X5),X1) != c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X5),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2784]) ).

cnf(i_0_5902,plain,
    ~ class_Rings_Olinordered__idom(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842]) ).

cnf(i_0_5903,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_5904,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4599]) ).

cnf(i_0_5905,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X3,X4),X2)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2842]) ).

cnf(i_0_5906,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180]) ).

cnf(i_0_5907,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_5908,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X2) ),
    inference(rename_variables,[],[i_0_3180]) ).

cnf(i_0_5909,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292]) ).

cnf(i_0_5910,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_5911,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(rename_variables,[],[i_0_3292]) ).

cnf(i_0_5912,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),X1),X2)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305]) ).

cnf(i_0_5913,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_4632]) ).

cnf(i_0_5914,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3305]) ).

cnf(i_0_5915,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),esk2_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420]) ).

cnf(i_0_5916,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5248]) ).

cnf(i_0_5917,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X1) ),
    inference(rename_variables,[],[i_0_3420]) ).

cnf(i_0_5918,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429]) ).

cnf(i_0_5919,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3429]) ).

cnf(i_0_5920,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431]) ).

cnf(i_0_5921,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3431]) ).

cnf(i_0_5922,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434]) ).

cnf(i_0_5923,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4756]) ).

cnf(i_0_5924,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3434]) ).

cnf(i_0_5925,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510]) ).

cnf(i_0_5926,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(rename_variables,[],[i_0_4706]) ).

cnf(i_0_5927,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3510]) ).

cnf(i_0_5928,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570]) ).

cnf(i_0_5929,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3570]) ).

cnf(i_0_5930,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655]) ).

cnf(i_0_5931,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3655]) ).

cnf(i_0_5932,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675]) ).

cnf(i_0_5933,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Otimes__class_Otimes(X2,X3,X3)
    | ~ class_Rings_Oidom(X2) ),
    inference(rename_variables,[],[i_0_3675]) ).

cnf(i_0_5934,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))))) = c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779]) ).

cnf(i_0_5935,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5936,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3779]) ).

cnf(i_0_5937,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814]) ).

cnf(i_0_5938,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Oplus__class_Oplus(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3814]) ).

cnf(i_0_5939,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))) = c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866]) ).

cnf(i_0_5940,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5941,plain,
    ( X1 != c_Groups_Oone__class_Oone(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3866]) ).

cnf(i_0_5942,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976]) ).

cnf(i_0_5943,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3976]) ).

cnf(i_0_5944,plain,
    ~ c_Int_Oiszero(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996]) ).

cnf(i_0_5945,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Int_Oiszero(X2,X1)
    | ~ class_Rings_Osemiring__1(X2) ),
    inference(rename_variables,[],[i_0_3996]) ).

cnf(i_0_5946,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489]) ).

cnf(i_0_5947,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,c_Groups_Otimes__class_Otimes(X2,X3,X1),X1) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4489]) ).

cnf(i_0_5948,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk22_2(X1,X2),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk22_2(X1,X2)),v_z____))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546]) ).

cnf(i_0_5949,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3546]) ).

cnf(i_0_5950,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550]) ).

cnf(i_0_5951,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3550]) ).

cnf(i_0_5952,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553]) ).

cnf(i_0_5953,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3553]) ).

cnf(i_0_5954,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558]) ).

cnf(i_0_5955,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
    inference(rename_variables,[],[i_0_5064]) ).

cnf(i_0_5956,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_3941]) ).

cnf(i_0_5957,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3558]) ).

cnf(i_0_5958,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739]) ).

cnf(i_0_5959,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,X2) = X3
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_5960,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867]) ).

cnf(i_0_5961,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3867]) ).

cnf(i_0_5962,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868]) ).

cnf(i_0_5963,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3868]) ).

cnf(i_0_5964,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888]) ).

cnf(i_0_5965,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Oplus__class_Oplus(X2,X3,X1)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(rename_variables,[],[i_0_3888]) ).

cnf(i_0_5966,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923]) ).

cnf(i_0_5967,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | c_Orderings_Oord__class_Oless__eq(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3923]) ).

cnf(i_0_5968,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997]) ).

cnf(i_0_5969,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oabs__class_Oabs(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3997]) ).

cnf(i_0_5970,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998]) ).

cnf(i_0_5971,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Ouminus__class_Ouminus(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3998]) ).

cnf(i_0_5972,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004]) ).

cnf(i_0_5973,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Ouminus__class_Ouminus(X2,X1) = X1
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_4004]) ).

cnf(i_0_5974,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005]) ).

cnf(i_0_5975,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X1 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_4005]) ).

cnf(i_0_5976,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166]) ).

cnf(i_0_5977,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_5978,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_5979,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(X2,X1),X2) ),
    inference(rename_variables,[],[i_0_3166]) ).

cnf(i_0_5980,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188]) ).

cnf(i_0_5981,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3188]) ).

cnf(i_0_5982,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk2_0,esk2_0)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306]) ).

cnf(i_0_5983,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3306]) ).

cnf(i_0_5984,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,esk2_0,X1)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307]) ).

cnf(i_0_5985,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3307]) ).

cnf(i_0_5986,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319]) ).

cnf(i_0_5987,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X1,X2)) ),
    inference(rename_variables,[],[i_0_3319]) ).

cnf(i_0_5988,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414]) ).

cnf(i_0_5989,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_5990,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_4741]) ).

cnf(i_0_5991,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(rename_variables,[],[i_0_3414]) ).

cnf(i_0_5992,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418]) ).

cnf(i_0_5993,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X2),
    inference(rename_variables,[],[i_0_5172]) ).

cnf(i_0_5994,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(rename_variables,[],[i_0_3418]) ).

cnf(i_0_5995,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432]) ).

cnf(i_0_5996,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4756]) ).

cnf(i_0_5997,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3432]) ).

cnf(i_0_5998,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436]) ).

cnf(i_0_5999,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3436]) ).

cnf(i_0_6000,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475]) ).

cnf(i_0_6001,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3475]) ).

cnf(i_0_6002,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk2_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505]) ).

cnf(i_0_6003,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3505]) ).

cnf(i_0_6004,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517]) ).

cnf(i_0_6005,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3517]) ).

cnf(i_0_6006,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571]) ).

cnf(i_0_6007,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4700]) ).

cnf(i_0_6008,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3571]) ).

cnf(i_0_6009,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754]) ).

cnf(i_0_6010,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_4641]) ).

cnf(i_0_6011,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4599]) ).

cnf(i_0_6012,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3754]) ).

cnf(i_0_6013,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488]) ).

cnf(i_0_6014,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,c_Rings_Oinverse__class_Odivide(X2,X3,X1),X1) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4488]) ).

cnf(i_0_6015,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516]) ).

cnf(i_0_6016,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3516]) ).

cnf(i_0_6017,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518]) ).

cnf(i_0_6018,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3518]) ).

cnf(i_0_6019,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554]) ).

cnf(i_0_6020,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3554]) ).

cnf(i_0_6021,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693]) ).

cnf(i_0_6022,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)),
    inference(rename_variables,[],[i_0_5534]) ).

cnf(i_0_6023,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2693]) ).

cnf(i_0_6024,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984]) ).

cnf(i_0_6025,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3984]) ).

cnf(i_0_6026,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176]) ).

cnf(i_0_6027,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6028,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6029,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3176]) ).

cnf(i_0_6030,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Power_Opower__class_Opower(tc_Nat_Onat,X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193]) ).

cnf(i_0_6031,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6032,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_3193]) ).

cnf(i_0_6033,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302]) ).

cnf(i_0_6034,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3302]) ).

cnf(i_0_6035,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419]) ).

cnf(i_0_6036,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),X1),
    inference(rename_variables,[],[i_0_5558]) ).

cnf(i_0_6037,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1) ),
    inference(rename_variables,[],[i_0_3419]) ).

cnf(i_0_6038,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473]) ).

cnf(i_0_6039,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3473]) ).

cnf(i_0_6040,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495]) ).

cnf(i_0_6041,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X2)),
    inference(rename_variables,[],[i_0_3067]) ).

cnf(i_0_6042,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3495]) ).

cnf(i_0_6043,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507]) ).

cnf(i_0_6044,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3507]) ).

cnf(i_0_6045,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk2_0),esk2_0),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515]) ).

cnf(i_0_6046,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3515]) ).

cnf(i_0_6047,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),X3),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678]) ).

cnf(i_0_6048,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_3953]) ).

cnf(i_0_6049,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3678]) ).

cnf(i_0_6050,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982]) ).

cnf(i_0_6051,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_6052,plain,
    ( c_Groups_Ozero__class_Ozero(X1) != c_Groups_Ouminus__class_Ouminus(X1,X2)
    | c_Groups_Ozero__class_Ozero(X1) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3982]) ).

cnf(i_0_6053,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657]) ).

cnf(i_0_6054,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3657]) ).

cnf(i_0_6055,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4677,i_0_5520,i_0_5364,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926]) ).

cnf(i_0_6056,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_4596]) ).

cnf(i_0_6057,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_4632]) ).

cnf(i_0_6058,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2926]) ).

cnf(i_0_6059,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075]) ).

cnf(i_0_6060,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X1),
    inference(rename_variables,[],[i_0_4638]) ).

cnf(i_0_6061,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3075]) ).

cnf(i_0_6062,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264]) ).

cnf(i_0_6063,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6064,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4599]) ).

cnf(i_0_6065,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_3264]) ).

cnf(i_0_6066,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X5))),X4),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128]) ).

cnf(i_0_6067,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_3128]) ).

cnf(i_0_6068,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659]) ).

cnf(i_0_6069,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3659]) ).

cnf(i_0_6070,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X1,X2))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736]) ).

cnf(i_0_6071,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3736]) ).

cnf(i_0_6072,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925]) ).

cnf(i_0_6073,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_5264]) ).

cnf(i_0_6074,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3))),X2),
    inference(rename_variables,[],[i_0_5364]) ).

cnf(i_0_6075,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_2925]) ).

cnf(i_0_6076,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016]) ).

cnf(i_0_6077,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_6078,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4756]) ).

cnf(i_0_6079,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X4) ),
    inference(rename_variables,[],[i_0_3016]) ).

cnf(i_0_6080,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928]) ).

cnf(i_0_6081,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3)),
    inference(rename_variables,[],[i_0_4657]) ).

cnf(i_0_6082,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2928]) ).

cnf(i_0_6083,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506]) ).

cnf(i_0_6084,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3506]) ).

cnf(i_0_6085,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780]) ).

cnf(i_0_6086,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3780]) ).

cnf(i_0_6087,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X2),X3),X3),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012]) ).

cnf(i_0_6088,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X2),
    inference(rename_variables,[],[i_0_5172]) ).

cnf(i_0_6089,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_4632]) ).

cnf(i_0_6090,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4) ),
    inference(rename_variables,[],[i_0_3012]) ).

cnf(i_0_6091,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243]) ).

cnf(i_0_6092,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3589]) ).

cnf(i_0_6093,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4599]) ).

cnf(i_0_6094,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_6095,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303]) ).

cnf(i_0_6096,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3303]) ).

cnf(i_0_6097,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409]) ).

cnf(i_0_6098,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3409]) ).

cnf(i_0_6099,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511]) ).

cnf(i_0_6100,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4756]) ).

cnf(i_0_6101,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3511]) ).

cnf(i_0_6102,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569]) ).

cnf(i_0_6103,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))),
    inference(rename_variables,[],[i_0_4731]) ).

cnf(i_0_6104,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3569]) ).

cnf(i_0_6105,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934]) ).

cnf(i_0_6106,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2934]) ).

cnf(i_0_6107,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304]) ).

cnf(i_0_6108,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3304]) ).

cnf(i_0_6109,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508]) ).

cnf(i_0_6110,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3508]) ).

cnf(i_0_6111,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731]) ).

cnf(i_0_6112,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3731]) ).

cnf(i_0_6113,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309]) ).

cnf(i_0_6114,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3309]) ).

cnf(i_0_6115,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129]) ).

cnf(i_0_6116,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3129]) ).

cnf(i_0_6117,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932]) ).

cnf(i_0_6118,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_5544]) ).

cnf(i_0_6119,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2932]) ).

cnf(i_0_6120,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813]) ).

cnf(i_0_6121,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3813]) ).

cnf(i_0_6122,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308]) ).

cnf(i_0_6123,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3308]) ).

cnf(i_0_6124,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X1,X2))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369]) ).

cnf(i_0_6125,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6126,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X1,X2))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370]) ).

cnf(i_0_6127,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6128,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371]) ).

cnf(i_0_6129,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6130,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314]) ).

cnf(i_0_6131,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_6132,plain,
    ~ c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355]) ).

cnf(i_0_6133,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6134,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3)),X3),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356]) ).

cnf(i_0_6135,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6136,plain,
    ~ c_Int_Oiszero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358]) ).

cnf(i_0_6137,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6138,plain,
    ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359]) ).

cnf(i_0_6139,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6140,plain,
    class_Rings_Oring__1__no__zero__divisors(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360]) ).

cnf(i_0_6141,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6142,plain,
    class_Orderings_Oord(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361]) ).

cnf(i_0_6143,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6144,plain,
    class_Rings_Osemiring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4922,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362]) ).

cnf(i_0_6145,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6146,plain,
    class_RealVector_Oreal__normed__algebra(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363]) ).

cnf(i_0_6147,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6148,plain,
    class_Groups_Oordered__ab__group__add__abs(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364]) ).

cnf(i_0_6149,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6150,plain,
    class_RealVector_Oreal__normed__vector(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365]) ).

cnf(i_0_6151,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6152,plain,
    class_Rings_Oidom(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366]) ).

cnf(i_0_6153,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6154,plain,
    class_Int_Oring__char__0(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4927,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367]) ).

cnf(i_0_6155,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6156,plain,
    class_Rings_Oring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4927,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368]) ).

cnf(i_0_6157,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6158,plain,
    class_Rings_Osemiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4927,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372]) ).

cnf(i_0_6159,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6160,plain,
    class_Fields_Olinordered__field(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4927,i_0_4964,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373]) ).

cnf(i_0_6161,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6162,plain,
    class_Fields_Ofield(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4927,i_0_4964,i_0_4931,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374]) ).

cnf(i_0_6163,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6164,plain,
    class_Rings_Oordered__semiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4928,i_0_4927,i_0_4964,i_0_4931,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376]) ).

cnf(i_0_6165,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6166,plain,
    class_Rings_Olinordered__ring__strict(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4933,i_0_4928,i_0_4927,i_0_4964,i_0_4931,i_0_4926,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377]) ).

cnf(i_0_6167,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6168,plain,
    class_Int_Onumber(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4933,i_0_4928,i_0_4927,i_0_4964,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378]) ).

cnf(i_0_6169,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6170,plain,
    c_SEQ_Osubseq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4933,i_0_4928,i_0_4927,i_0_4964,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379]) ).

cnf(i_0_6171,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6172,plain,
    class_Fields_Ofield__inverse__zero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4933,i_0_4928,i_0_4936,i_0_4927,i_0_4964,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380]) ).

cnf(i_0_6173,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6174,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint) != tc_Nat_Onat,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4938,i_0_4933,i_0_4928,i_0_4936,i_0_4927,i_0_4964,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382]) ).

cnf(i_0_6175,plain,
    class_Rings_Ocomm__semiring__0(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4938,i_0_4933,i_0_4928,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383]) ).

cnf(i_0_6176,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6177,plain,
    class_Rings_Ocomm__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4940,i_0_4938,i_0_4933,i_0_4928,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384]) ).

cnf(i_0_6178,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6179,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4940,i_0_4938,i_0_4933,i_0_4928,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385]) ).

cnf(i_0_6180,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6181,plain,
    class_Rings_Oordered__comm__semiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4940,i_0_4938,i_0_4933,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386]) ).

cnf(i_0_6182,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6183,plain,
    class_Rings_Olinordered__semiring__strict(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4940,i_0_4938,i_0_4933,i_0_4943,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387]) ).

cnf(i_0_6184,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6185,plain,
    class_Rings_Olinordered__comm__semiring__strict(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4940,i_0_4938,i_0_4944,i_0_4933,i_0_4943,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388]) ).

cnf(i_0_6186,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6187,plain,
    class_Rings_Oordered__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4945,i_0_4940,i_0_4938,i_0_4944,i_0_4933,i_0_4943,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389]) ).

cnf(i_0_6188,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6189,plain,
    class_RealVector_Oreal__normed__algebra__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4945,i_0_4940,i_0_4938,i_0_4944,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390]) ).

cnf(i_0_6190,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6191,plain,
    class_Groups_Oordered__ab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4945,i_0_4940,i_0_4938,i_0_4947,i_0_4944,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391]) ).

cnf(i_0_6192,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6193,plain,
    class_Groups_Oordered__cancel__ab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4945,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392]) ).

cnf(i_0_6194,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6195,plain,
    class_Rings_Olinordered__semidom(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4945,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393]) ).

cnf(i_0_6196,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6197,plain,
    class_Rings_Ocomm__semiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394]) ).

cnf(i_0_6198,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6199,plain,
    class_RealVector_Oreal__normed__field(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396]) ).

cnf(i_0_6200,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6201,plain,
    class_Rings_Oordered__cancel__semiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397]) ).

cnf(i_0_6202,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6203,plain,
    class_Groups_Oordered__comm__monoid__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398]) ).

cnf(i_0_6204,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6205,plain,
    class_Orderings_Oorder(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401]) ).

cnf(i_0_6206,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6207,plain,
    class_Orderings_Olinorder(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4955,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402]) ).

cnf(i_0_6208,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6209,plain,
    class_Groups_Omonoid__mult(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4956,i_0_4955,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403]) ).

cnf(i_0_6210,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6211,plain,
    class_Power_Opower(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4957,i_0_4956,i_0_4955,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404]) ).

cnf(i_0_6212,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6213,plain,
    class_Groups_Olinordered__ab__group__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4957,i_0_4956,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405]) ).

cnf(i_0_6214,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6215,plain,
    class_Groups_Oab__semigroup__mult(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4959,i_0_4957,i_0_4956,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406]) ).

cnf(i_0_6216,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6217,plain,
    class_Groups_Oab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407]) ).

cnf(i_0_6218,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6219,plain,
    class_Groups_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409]) ).

cnf(i_0_6220,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6221,plain,
    class_Rings_Olinordered__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410]) ).

cnf(i_0_6222,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6223,plain,
    class_Orderings_Opreorder(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411]) ).

cnf(i_0_6224,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6225,plain,
    class_RealVector_Oreal__normed__div__algebra(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413]) ).

cnf(i_0_6226,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6227,plain,
    class_Lattices_Oboolean__algebra(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414]) ).

cnf(i_0_6228,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6229,plain,
    class_Fields_Olinordered__field__inverse__zero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415]) ).

cnf(i_0_6230,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6231,plain,
    class_Rings_Osemiring__0(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4969,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417]) ).

cnf(i_0_6232,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6233,plain,
    class_Rings_Omult__zero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4970,i_0_4969,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418]) ).

cnf(i_0_6234,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6235,plain,
    class_Rings_Ono__zero__divisors(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4971,i_0_4970,i_0_4969,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419]) ).

cnf(i_0_6236,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6237,plain,
    class_Rings_Ozero__neq__one(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4972,i_0_4971,i_0_4970,i_0_4969,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420]) ).

cnf(i_0_6238,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6239,plain,
    class_Groups_Ocancel__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4973,i_0_4972,i_0_4971,i_0_4970,i_0_4969,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421]) ).

cnf(i_0_6240,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6241,plain,
    class_Groups_Ocancel__ab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4974,i_0_4973,i_0_4972,i_0_4971,i_0_4970,i_0_4969,i_0_4960,i_0_4959,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422]) ).

cnf(i_0_6242,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6243,plain,
    class_Rings_Ocomm__ring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4974,i_0_4973,i_0_4972,i_0_4971,i_0_4970,i_0_4969,i_0_4960,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423]) ).

cnf(i_0_6244,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6245,plain,
    class_Groups_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4974,i_0_4973,i_0_4972,i_0_4971,i_0_4970,i_0_4969,i_0_4960,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424]) ).

cnf(i_0_6246,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6247,plain,
    class_Groups_Oabs__if(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4974,i_0_4973,i_0_4972,i_0_4971,i_0_4970,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425]) ).

cnf(i_0_6248,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6249,plain,
    class_Int_Onumber__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4974,i_0_4973,i_0_4972,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426]) ).

cnf(i_0_6250,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6251,plain,
    class_Rings_Oring__no__zero__divisors(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427]) ).

cnf(i_0_6252,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6253,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4980,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428]) ).

cnf(i_0_6254,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6255,plain,
    class_Groups_Ocomm__monoid__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429]) ).

cnf(i_0_6256,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6257,plain,
    class_Rings_Odivision__ring__inverse__zero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430]) ).

cnf(i_0_6258,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6259,plain,
    class_Groups_Ocomm__monoid__mult(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431]) ).

cnf(i_0_6260,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6261,plain,
    class_Groups_Omonoid__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432]) ).

cnf(i_0_6262,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6263,plain,
    class_Groups_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433]) ).

cnf(i_0_6264,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6265,plain,
    class_Groups_Ocancel__comm__monoid__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434]) ).

cnf(i_0_6266,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6267,plain,
    class_Groups_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435]) ).

cnf(i_0_6268,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6269,plain,
    class_Rings_Ocomm__semiring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436]) ).

cnf(i_0_6270,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6271,plain,
    class_Rings_Oring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437]) ).

cnf(i_0_6272,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6273,plain,
    class_Rings_Odivision__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395]) ).

cnf(i_0_6274,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6275,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357]) ).

cnf(i_0_6276,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5248]) ).

cnf(i_0_6277,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5512,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844]) ).

cnf(i_0_6278,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),X1),
    inference(rename_variables,[],[i_0_4629]) ).

cnf(i_0_6279,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_6280,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_2844]) ).

cnf(i_0_6281,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) != c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712]) ).

cnf(i_0_6282,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) != X1,
    inference(rename_variables,[],[i_0_4590]) ).

cnf(i_0_6283,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X2,
    inference(rename_variables,[],[i_0_5512]) ).

cnf(i_0_6284,plain,
    ( X1 = c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) != c_Groups_Oone__class_Oone(X2)
    | X1 = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3712]) ).

cnf(i_0_6285,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267]) ).

cnf(i_0_6286,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4486]) ).

cnf(i_0_6287,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3267]) ).

cnf(i_0_6288,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4247,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391]) ).

cnf(i_0_6289,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_6290,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3391]) ).

cnf(i_0_6291,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4247,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392]) ).

cnf(i_0_6292,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3392]) ).

cnf(i_0_6293,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394]) ).

cnf(i_0_6294,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6295,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3394]) ).

cnf(i_0_6296,plain,
    c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387]) ).

cnf(i_0_6297,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3387]) ).

cnf(i_0_6298,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk2_0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388]) ).

cnf(i_0_6299,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3388]) ).

cnf(i_0_6300,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390]) ).

cnf(i_0_6301,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_6302,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3390]) ).

cnf(i_0_6303,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393]) ).

cnf(i_0_6304,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6305,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3393]) ).

cnf(i_0_6306,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852]) ).

cnf(i_0_6307,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2852]) ).

cnf(i_0_6308,plain,
    X1 = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616]) ).

cnf(i_0_6309,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6310,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) != X4
    | X3 = c_Groups_Otimes__class_Otimes(X2,X4,X1)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3616]) ).

cnf(i_0_6311,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X5))),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X4)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856]) ).

cnf(i_0_6312,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6313,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X2,X4))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_2856]) ).

cnf(i_0_6314,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X2,X3))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851]) ).

cnf(i_0_6315,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2851]) ).

cnf(i_0_6316,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),esk2_0),X3),c_Power_Opower__class_Opower(tc_RealDef_Oreal,esk2_0,X3)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850]) ).

cnf(i_0_6317,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5255]) ).

cnf(i_0_6318,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X3,X4),c_Power_Opower__class_Opower(X1,X2,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_2850]) ).

cnf(i_0_6319,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876]) ).

cnf(i_0_6320,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_3715]) ).

cnf(i_0_6321,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2876]) ).

cnf(i_0_6322,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877]) ).

cnf(i_0_6323,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_3715]) ).

cnf(i_0_6324,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2877]) ).

cnf(i_0_6325,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),esk17_0),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_w____)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037]) ).

cnf(i_0_6326,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_6327,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5255]) ).

cnf(i_0_6328,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,esk17_0)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(rename_variables,[],[i_0_3037]) ).

cnf(i_0_6329,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_w____)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038]) ).

cnf(i_0_6330,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_6331,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5255]) ).

cnf(i_0_6332,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,v_s____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(rename_variables,[],[i_0_3038]) ).

cnf(i_0_6333,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048]) ).

cnf(i_0_6334,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_3715]) ).

cnf(i_0_6335,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3048]) ).

cnf(i_0_6336,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049]) ).

cnf(i_0_6337,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_5193]) ).

cnf(i_0_6338,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3049]) ).

cnf(i_0_6339,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058]) ).

cnf(i_0_6340,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_3715]) ).

cnf(i_0_6341,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3058]) ).

cnf(i_0_6342,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059]) ).

cnf(i_0_6343,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_3715]) ).

cnf(i_0_6344,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3059]) ).

cnf(i_0_6345,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)),X4),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139]) ).

cnf(i_0_6346,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5255]) ).

cnf(i_0_6347,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3139]) ).

cnf(i_0_6348,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),c_Int_OPls),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224]) ).

cnf(i_0_6349,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_6350,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3224]) ).

cnf(i_0_6351,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_NthRoot_Osqrt(esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) != c_Int_OPls,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513]) ).

cnf(i_0_6352,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_6353,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oab__group__add(X1)
    | X4 = X5
    | X2 != X3 ),
    inference(rename_variables,[],[i_0_3513]) ).

cnf(i_0_6354,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)),X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599]) ).

cnf(i_0_6355,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6356,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Otimes__class_Otimes(X2,X1,X4)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X4) = X1
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3599]) ).

cnf(i_0_6357,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)),X1),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600]) ).

cnf(i_0_6358,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6359,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X3) != X4
    | X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3600]) ).

cnf(i_0_6360,plain,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613]) ).

cnf(i_0_6361,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_6362,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X4
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Otimes__class_Otimes(X1,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3613]) ).

cnf(i_0_6363,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614]) ).

cnf(i_0_6364,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6365,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X3) != X4
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Rings_Oinverse__class_Odivide(X1,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3614]) ).

cnf(i_0_6366,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856]) ).

cnf(i_0_6367,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) = X1
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3856]) ).

cnf(i_0_6368,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857]) ).

cnf(i_0_6369,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3857]) ).

cnf(i_0_6370,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_NthRoot_Osqrt(esk22_2(X1,X2))),c_NthRoot_Osqrt(esk22_2(X1,X2))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865]) ).

cnf(i_0_6371,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6372,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) = c_Groups_Oone__class_Oone(X2)
    | X3 != X1
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3865]) ).

cnf(i_0_6373,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816]) ).

cnf(i_0_6374,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X1),
    inference(rename_variables,[],[i_0_5078]) ).

cnf(i_0_6375,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_2816]) ).

cnf(i_0_6376,plain,
    c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817]) ).

cnf(i_0_6377,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(rename_variables,[],[i_0_5002]) ).

cnf(i_0_6378,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_2817]) ).

cnf(i_0_6379,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818]) ).

cnf(i_0_6380,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),
    inference(rename_variables,[],[i_0_5101]) ).

cnf(i_0_6381,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_2818]) ).

cnf(i_0_6382,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845]) ).

cnf(i_0_6383,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),
    inference(rename_variables,[],[i_0_4635]) ).

cnf(i_0_6384,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3)),
    inference(rename_variables,[],[i_0_4657]) ).

cnf(i_0_6385,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_2845]) ).

cnf(i_0_6386,plain,
    ~ c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901]) ).

cnf(i_0_6387,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),X1),
    inference(rename_variables,[],[i_0_5558]) ).

cnf(i_0_6388,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2901]) ).

cnf(i_0_6389,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962]) ).

cnf(i_0_6390,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2962]) ).

cnf(i_0_6391,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963]) ).

cnf(i_0_6392,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2963]) ).

cnf(i_0_6393,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964]) ).

cnf(i_0_6394,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Rings_Oinverse__class_Odivide(X1,X4,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2964]) ).

cnf(i_0_6395,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981]) ).

cnf(i_0_6396,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6397,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6398,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2981]) ).

cnf(i_0_6399,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk2_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080]) ).

cnf(i_0_6400,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3080]) ).

cnf(i_0_6401,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk2_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085]) ).

cnf(i_0_6402,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3085]) ).

cnf(i_0_6403,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177]) ).

cnf(i_0_6404,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2) = X1,
    inference(rename_variables,[],[i_0_3602]) ).

cnf(i_0_6405,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_6406,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_3177]) ).

cnf(i_0_6407,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),X1),c_Int_OPls),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222]) ).

cnf(i_0_6408,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_6409,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3222]) ).

cnf(i_0_6410,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266]) ).

cnf(i_0_6411,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4700]) ).

cnf(i_0_6412,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3266]) ).

cnf(i_0_6413,plain,
    ~ c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OPls)),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480]) ).

cnf(i_0_6414,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),X1),
    inference(rename_variables,[],[i_0_5558]) ).

cnf(i_0_6415,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3480]) ).

cnf(i_0_6416,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls))),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527]) ).

cnf(i_0_6417,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X1),
    inference(rename_variables,[],[i_0_5078]) ).

cnf(i_0_6418,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Int_OPls)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3527]) ).

cnf(i_0_6419,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608]) ).

cnf(i_0_6420,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),
    inference(rename_variables,[],[i_0_5272]) ).

cnf(i_0_6421,plain,
    ( X1 != c_Rings_Oinverse__class_Odivide(X2,X3,X4)
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X4) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3608]) ).

cnf(i_0_6422,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609]) ).

cnf(i_0_6423,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6424,plain,
    ( X1 != c_Groups_Otimes__class_Otimes(X2,X3,X4)
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X1,X4) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3609]) ).

cnf(i_0_6425,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760]) ).

cnf(i_0_6426,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X1,
    inference(rename_variables,[],[i_0_5449]) ).

cnf(i_0_6427,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_6428,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,X3) != c_Groups_Oone__class_Oone(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3760]) ).

cnf(i_0_6429,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083]) ).

cnf(i_0_6430,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3083]) ).

cnf(i_0_6431,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084]) ).

cnf(i_0_6432,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_6433,plain,
    X1 = c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617]) ).

cnf(i_0_6434,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)) != X1,
    inference(rename_variables,[],[i_0_4593]) ).

cnf(i_0_6435,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),X1),
    inference(rename_variables,[],[i_0_4619]) ).

cnf(i_0_6436,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) != X4
    | X3 = c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3617]) ).

cnf(i_0_6437,plain,
    c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819]) ).

cnf(i_0_6438,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4787]) ).

cnf(i_0_6439,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_2819]) ).

cnf(i_0_6440,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902]) ).

cnf(i_0_6441,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_6442,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2902]) ).

cnf(i_0_6443,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk2_0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,esk2_0)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954]) ).

cnf(i_0_6444,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Rings_Oinverse__class_Odivide(X1,X4,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2954]) ).

cnf(i_0_6445,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978]) ).

cnf(i_0_6446,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2978]) ).

cnf(i_0_6447,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104]) ).

cnf(i_0_6448,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6449,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3104]) ).

cnf(i_0_6450,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132]) ).

cnf(i_0_6451,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6452,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6453,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Power_Opower__class_Opower(X2,X3,X1))
    | ~ class_Rings_Olinordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_3132]) ).

cnf(i_0_6454,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_OPls)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479]) ).

cnf(i_0_6455,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_6456,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3479]) ).

cnf(i_0_6457,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_OPls)),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481]) ).

cnf(i_0_6458,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_6459,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Int_OPls)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3481]) ).

cnf(i_0_6460,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = X1,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611]) ).

cnf(i_0_6461,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_6462,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6463,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) = X4
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3611]) ).

cnf(i_0_6464,plain,
    c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = X1,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612]) ).

cnf(i_0_6465,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_6466,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6467,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Otimes__class_Otimes(X2,X4,X1)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) = X4
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3612]) ).

cnf(i_0_6468,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1),c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932]) ).

cnf(i_0_6469,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,X2) != c_Int_Onumber__class_Onumber__of(X1,X3)
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3932]) ).

cnf(i_0_6470,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989]) ).

cnf(i_0_6471,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_6472,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4756]) ).

cnf(i_0_6473,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2989]) ).

cnf(i_0_6474,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017]) ).

cnf(i_0_6475,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X3,X2))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3017]) ).

cnf(i_0_6476,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018]) ).

cnf(i_0_6477,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3018]) ).

cnf(i_0_6478,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk2_0,X3)),X3),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140]) ).

cnf(i_0_6479,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5255]) ).

cnf(i_0_6480,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3140]) ).

cnf(i_0_6481,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750]) ).

cnf(i_0_6482,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X1),X2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_5550]) ).

cnf(i_0_6483,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Oring__no__zero__divisors(X1) ),
    inference(rename_variables,[],[i_0_3750]) ).

cnf(i_0_6484,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900]) ).

cnf(i_0_6485,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_6486,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X1)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2900]) ).

cnf(i_0_6487,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk2_0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk2_0,esk2_0)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950]) ).

cnf(i_0_6488,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2950]) ).

cnf(i_0_6489,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk2_0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk2_0,esk2_0)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951]) ).

cnf(i_0_6490,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2951]) ).

cnf(i_0_6491,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979]) ).

cnf(i_0_6492,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6493,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2979]) ).

cnf(i_0_6494,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk2_0,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079]) ).

cnf(i_0_6495,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3079]) ).

cnf(i_0_6496,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081]) ).

cnf(i_0_6497,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3081]) ).

cnf(i_0_6498,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082]) ).

cnf(i_0_6499,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3082]) ).

cnf(i_0_6500,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086]) ).

cnf(i_0_6501,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3086]) ).

cnf(i_0_6502,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094]) ).

cnf(i_0_6503,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),
    inference(rename_variables,[],[i_0_5274]) ).

cnf(i_0_6504,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3094]) ).

cnf(i_0_6505,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112]) ).

cnf(i_0_6506,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_3112]) ).

cnf(i_0_6507,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115]) ).

cnf(i_0_6508,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3115]) ).

cnf(i_0_6509,plain,
    c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472]) ).

cnf(i_0_6510,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless(X3,c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X3,X2))
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Rings_Olinordered__idom(X3) ),
    inference(rename_variables,[],[i_0_3472]) ).

cnf(i_0_6511,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Int_OPls))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529]) ).

cnf(i_0_6512,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),
    inference(rename_variables,[],[i_0_5101]) ).

cnf(i_0_6513,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3529]) ).

cnf(i_0_6514,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095]) ).

cnf(i_0_6515,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3095]) ).

cnf(i_0_6516,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),esk2_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389]) ).

cnf(i_0_6517,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5255]) ).

cnf(i_0_6518,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3389]) ).

cnf(i_0_6519,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(esk22_2(X1,X2)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752]) ).

cnf(i_0_6520,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(rename_variables,[],[i_0_5453]) ).

cnf(i_0_6521,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ono__zero__divisors(X1) ),
    inference(rename_variables,[],[i_0_3752]) ).

cnf(i_0_6522,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952]) ).

cnf(i_0_6523,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2952]) ).

cnf(i_0_6524,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098]) ).

cnf(i_0_6525,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_3098]) ).

cnf(i_0_6526,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471]) ).

cnf(i_0_6527,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X3,X2))
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Rings_Olinordered__idom(X3) ),
    inference(rename_variables,[],[i_0_3471]) ).

cnf(i_0_6528,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X2,X3)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088]) ).

cnf(i_0_6529,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3088]) ).

cnf(i_0_6530,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089]) ).

cnf(i_0_6531,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3089]) ).

cnf(i_0_6532,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096]) ).

cnf(i_0_6533,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3096]) ).

cnf(i_0_6534,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102]) ).

cnf(i_0_6535,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3102]) ).

cnf(i_0_6536,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114]) ).

cnf(i_0_6537,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3114]) ).

cnf(i_0_6538,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)),X4),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141]) ).

cnf(i_0_6539,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5255]) ).

cnf(i_0_6540,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3141]) ).

cnf(i_0_6541,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477]) ).

cnf(i_0_6542,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4817]) ).

cnf(i_0_6543,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3477]) ).

cnf(i_0_6544,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,esk2_0,X1),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk2_0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),X1)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953]) ).

cnf(i_0_6545,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(rename_variables,[],[i_0_4706]) ).

cnf(i_0_6546,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2953]) ).

cnf(i_0_6547,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100]) ).

cnf(i_0_6548,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3100]) ).

cnf(i_0_6549,plain,
    c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535]) ).

cnf(i_0_6550,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3535]) ).

cnf(i_0_6551,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),X3),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988]) ).

cnf(i_0_6552,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_6553,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2988]) ).

cnf(i_0_6554,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090]) ).

cnf(i_0_6555,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3090]) ).

cnf(i_0_6556,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X2,X3)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091]) ).

cnf(i_0_6557,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3091]) ).

cnf(i_0_6558,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716]) ).

cnf(i_0_6559,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_6560,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),X3),X1),
    inference(rename_variables,[],[i_0_5014]) ).

cnf(i_0_6561,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3716]) ).

cnf(i_0_6562,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099]) ).

cnf(i_0_6563,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3099]) ).

cnf(i_0_6564,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113]) ).

cnf(i_0_6565,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3113]) ).

cnf(i_0_6566,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk2_0,X3)),X3),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137]) ).

cnf(i_0_6567,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5248]) ).

cnf(i_0_6568,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3137]) ).

cnf(i_0_6569,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),esk22_2(X1,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092]) ).

cnf(i_0_6570,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3092]) ).

cnf(i_0_6571,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093]) ).

cnf(i_0_6572,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3093]) ).

cnf(i_0_6573,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116]) ).

cnf(i_0_6574,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3116]) ).

cnf(i_0_6575,plain,
    c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530]) ).

cnf(i_0_6576,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4756]) ).

cnf(i_0_6577,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X1)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X2,X1))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3530]) ).

cnf(i_0_6578,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_6337,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725]) ).

cnf(i_0_6579,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_5193]) ).

cnf(i_0_6580,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Rings_Olinordered__idom(X1)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3725]) ).

cnf(i_0_6581,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),X1),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_6337,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986]) ).

cnf(i_0_6582,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),X1),
    inference(rename_variables,[],[i_0_5558]) ).

cnf(i_0_6583,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),
    inference(rename_variables,[],[i_0_5101]) ).

cnf(i_0_6584,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2986]) ).

cnf(i_0_6585,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,esk2_0)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_6337,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103]) ).

cnf(i_0_6586,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3103]) ).

cnf(i_0_6587,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,esk2_0)),X3),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_6337,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138]) ).

cnf(i_0_6588,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),X3),
    inference(rename_variables,[],[i_0_5248]) ).

cnf(i_0_6589,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X4,X2))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3138]) ).

cnf(i_0_6590,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4),X5),X4),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_6337,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987]) ).

cnf(i_0_6591,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X2),
    inference(rename_variables,[],[i_0_4766]) ).

cnf(i_0_6592,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2987]) ).

cnf(i_0_6593,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_6337,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097]) ).

cnf(i_0_6594,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3097]) ).

cnf(i_0_6595,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5218,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724]) ).

cnf(i_0_6596,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),
    inference(rename_variables,[],[i_0_5199]) ).

cnf(i_0_6597,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3724]) ).

cnf(i_0_6598,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649]) ).

cnf(i_0_6599,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_6600,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647]) ).

cnf(i_0_6601,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3647]) ).

cnf(i_0_6602,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117]) ).

cnf(i_0_6603,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3117]) ).

cnf(i_0_6604,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105]) ).

cnf(i_0_6605,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3105]) ).

cnf(i_0_6606,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118]) ).

cnf(i_0_6607,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3118]) ).

cnf(i_0_6608,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109]) ).

cnf(i_0_6609,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3109]) ).

cnf(i_0_6610,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108]) ).

cnf(i_0_6611,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3108]) ).

cnf(i_0_6612,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110]) ).

cnf(i_0_6613,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3110]) ).

cnf(i_0_6614,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk22_2(X2,X3)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276]) ).

cnf(i_0_6615,plain,
    c_NthRoot_Osqrt(esk22_2(X1,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_4580]) ).

cnf(i_0_6616,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk22_2(X2,X3)),X1),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(rename_variables,[],[i_0_5298]) ).

cnf(i_0_6617,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) != c_Rings_Oinverse__class_Odivide(X2,X5,X1)
    | c_Groups_Otimes__class_Otimes(X2,X4,X1) = c_Groups_Otimes__class_Otimes(X2,X5,X3)
    | ~ class_Fields_Ofield(X2) ),
    inference(rename_variables,[],[i_0_3276]) ).

cnf(i_0_6618,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_4700,i_0_5632,i_0_6007,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277]) ).

cnf(i_0_6619,plain,
    c_NthRoot_Osqrt(esk22_2(X1,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_4580]) ).

cnf(i_0_6620,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(rename_variables,[],[i_0_5453]) ).

cnf(i_0_6621,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X4,X1) != c_Groups_Otimes__class_Otimes(X2,X5,X3)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) = c_Rings_Oinverse__class_Odivide(X2,X5,X1)
    | ~ class_Fields_Ofield(X2) ),
    inference(rename_variables,[],[i_0_3277]) ).

cnf(i_0_6622,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk2_0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838]) ).

cnf(i_0_6623,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(rename_variables,[],[i_0_4706]) ).

cnf(i_0_6624,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4700]) ).

cnf(i_0_6625,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X5,X3))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2838]) ).

cnf(i_0_6626,plain,
    c_Power_Opower__class_Opower(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709]) ).

cnf(i_0_6627,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_6628,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(rename_variables,[],[i_0_3709]) ).

cnf(i_0_6629,plain,
    c_Power_Opower__class_Opower(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505]) ).

cnf(i_0_6630,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_6631,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2)
    | c_Power_Opower__class_Opower(X2,c_Groups_Ozero__class_Ozero(X2),X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2) ),
    inference(rename_variables,[],[i_0_4505]) ).

cnf(i_0_6632,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300]) ).

cnf(i_0_6633,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_5279]) ).

cnf(i_0_6634,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_3300]) ).

cnf(i_0_6635,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk2_0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk2_0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk2_0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837]) ).

cnf(i_0_6636,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(rename_variables,[],[i_0_4706]) ).

cnf(i_0_6637,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),c_Groups_Otimes__class_Otimes(X1,X2,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2837]) ).

cnf(i_0_6638,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk2_0,esk2_0),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk2_0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk2_0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4178,i_0_4179,i_0_4197,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836]) ).

cnf(i_0_6639,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(rename_variables,[],[i_0_4706]) ).

cnf(i_0_6640,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(rename_variables,[],[i_0_4706]) ).

cnf(i_0_6641,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X4,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2836]) ).

cnf(i_0_6642,plain,
    c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777]) ).

cnf(i_0_6643,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_6644,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Ozero__class_Ozero(X3)
    | c_Power_Opower__class_Opower(X3,X2,X1) = c_Groups_Ozero__class_Ozero(X3)
    | ~ class_Power_Opower(X3)
    | ~ class_Rings_Omult__zero(X3)
    | ~ class_Rings_Ono__zero__divisors(X3)
    | ~ class_Rings_Ozero__neq__one(X3) ),
    inference(rename_variables,[],[i_0_3777]) ).

cnf(i_0_6645,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))) = esk22_2(X1,X2),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714]) ).

cnf(i_0_6646,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3714]) ).

cnf(i_0_6647,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149]) ).

cnf(i_0_6648,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3149]) ).

cnf(i_0_6649,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356]) ).

cnf(i_0_6650,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3356]) ).

cnf(i_0_6651,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320]) ).

cnf(i_0_6652,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1))
    | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3320]) ).

cnf(i_0_6653,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946]) ).

cnf(i_0_6654,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2946]) ).

cnf(i_0_6655,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029]) ).

cnf(i_0_6656,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2) ),
    inference(rename_variables,[],[i_0_3029]) ).

cnf(i_0_6657,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X2,X3),X4)),X4),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154]) ).

cnf(i_0_6658,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
    inference(rename_variables,[],[i_0_3154]) ).

cnf(i_0_6659,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261]) ).

cnf(i_0_6660,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3261]) ).

cnf(i_0_6661,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342]) ).

cnf(i_0_6662,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3342]) ).

cnf(i_0_6663,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310]) ).

cnf(i_0_6664,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3310]) ).

cnf(i_0_6665,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X4)),X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147]) ).

cnf(i_0_6666,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3147]) ).

cnf(i_0_6667,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X2)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935]) ).

cnf(i_0_6668,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_2935]) ).

cnf(i_0_6669,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340]) ).

cnf(i_0_6670,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3340]) ).

cnf(i_0_6671,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293]) ).

cnf(i_0_6672,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3293]) ).

cnf(i_0_6673,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293,i_0_3358]) ).

cnf(i_0_6674,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2) = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3358]) ).

cnf(i_0_6675,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),X3) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293,i_0_3358,i_0_3935]) ).

cnf(i_0_6676,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3935]) ).

cnf(i_0_6677,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293,i_0_3358,i_0_3935,i_0_3476]) ).

cnf(i_0_6678,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3476]) ).

cnf(i_0_6679,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3811,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293,i_0_3358,i_0_3935,i_0_3476,i_0_2911]) ).

cnf(i_0_6680,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3811]) ).

cnf(i_0_6681,plain,
    ( c_RComplete_Onatceiling(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),X1) ),
    inference(rename_variables,[],[i_0_2911]) ).

cnf(i_0_6682,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4731,i_0_5351,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3811,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293,i_0_3358,i_0_3935,i_0_3476,i_0_2911,i_0_3681]) ).

cnf(i_0_6683,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3681]) ).

cnf(i_0_6684,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4660,i_0_4731,i_0_5351,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3811,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293,i_0_3358,i_0_3935,i_0_3476,i_0_2911,i_0_3681,i_0_3161]) ).

cnf(i_0_6685,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4660]) ).

cnf(i_0_6686,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3161]) ).

cnf(i_0_6687,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X5)),X4),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4660,i_0_4731,i_0_5351,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3811,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4190,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293,i_0_3358,i_0_3935,i_0_3476,i_0_2911,i_0_3681,i_0_3161,i_0_3124]) ).

cnf(i_0_6688,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_3124]) ).

cnf(i_0_6689,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4800,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4660,i_0_4731,i_0_5351,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3811,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4190,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293,i_0_3358,i_0_3935,i_0_3476,i_0_2911,i_0_3681,i_0_3161,i_0_3124,i_0_3063]) ).

cnf(i_0_6690,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3063]) ).

cnf(i_0_6691,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(scs_inference,[],[i_0_4565,i_0_4567,i_0_3275,i_0_2698,i_0_2776,i_0_4772,i_0_4804,i_0_5261,i_0_4808,i_0_4774,i_0_4580,i_0_5795,i_0_6615,i_0_5548,i_0_4798,i_0_5508,i_0_4584,i_0_5279,i_0_5272,i_0_5248,i_0_5916,i_0_6276,i_0_6567,i_0_5255,i_0_5594,i_0_6317,i_0_6327,i_0_6331,i_0_6346,i_0_6479,i_0_6517,i_0_5264,i_0_6073,i_0_4766,i_0_5676,i_0_5679,i_0_5694,i_0_5725,i_0_5728,i_0_5737,i_0_6289,i_0_6301,i_0_6559,i_0_5172,i_0_5664,i_0_5667,i_0_5769,i_0_5993,i_0_4759,i_0_5658,i_0_5760,i_0_5819,i_0_5903,i_0_5907,i_0_5977,i_0_6028,i_0_6031,i_0_6294,i_0_6304,i_0_6312,i_0_6397,i_0_6448,i_0_6451,i_0_6492,i_0_6396,i_0_4756,i_0_5638,i_0_5822,i_0_5923,i_0_5996,i_0_6078,i_0_6100,i_0_6472,i_0_5251,i_0_5645,i_0_5661,i_0_5682,i_0_5744,i_0_6077,i_0_6441,i_0_6458,i_0_6471,i_0_5274,i_0_5623,i_0_4817,i_0_4819,i_0_5502,i_0_4787,i_0_5175,i_0_5544,i_0_4578,i_0_5506,i_0_5205,i_0_5218,i_0_5240,i_0_5227,i_0_5193,i_0_6337,i_0_6579,i_0_5199,i_0_4806,i_0_5162,i_0_5234,i_0_5504,i_0_4800,i_0_4988,i_0_4987,i_0_4986,i_0_4985,i_0_4984,i_0_4983,i_0_4981,i_0_4980,i_0_4974,i_0_4973,i_0_4989,i_0_4972,i_0_4979,i_0_4971,i_0_4970,i_0_4978,i_0_4969,i_0_4960,i_0_4977,i_0_4959,i_0_4975,i_0_4957,i_0_4956,i_0_4963,i_0_4955,i_0_4958,i_0_4953,i_0_4952,i_0_4945,i_0_4950,i_0_4982,i_0_4949,i_0_4940,i_0_4948,i_0_4966,i_0_4938,i_0_4947,i_0_4944,i_0_4951,i_0_4933,i_0_4976,i_0_4943,i_0_4946,i_0_4928,i_0_4967,i_0_4942,i_0_4941,i_0_4936,i_0_4927,i_0_4964,i_0_4939,i_0_4931,i_0_4926,i_0_4962,i_0_4934,i_0_4968,i_0_4602,i_0_5608,i_0_5877,i_0_5900,i_0_5978,i_0_6131,i_0_6461,i_0_6465,i_0_6630,i_0_5301,i_0_4932,i_0_4619,i_0_5874,i_0_6027,i_0_6141,i_0_6143,i_0_6145,i_0_6147,i_0_6149,i_0_6151,i_0_6153,i_0_6155,i_0_6157,i_0_6159,i_0_6161,i_0_6163,i_0_6165,i_0_6167,i_0_6169,i_0_6171,i_0_6173,i_0_6176,i_0_6178,i_0_6180,i_0_6182,i_0_6184,i_0_6186,i_0_6188,i_0_6190,i_0_6192,i_0_6194,i_0_6196,i_0_6198,i_0_6200,i_0_6202,i_0_6204,i_0_6206,i_0_6208,i_0_6210,i_0_6212,i_0_6214,i_0_6216,i_0_6218,i_0_6220,i_0_6222,i_0_6224,i_0_6226,i_0_6228,i_0_6230,i_0_6232,i_0_6234,i_0_6236,i_0_6238,i_0_6240,i_0_6242,i_0_6244,i_0_6246,i_0_6248,i_0_6250,i_0_6252,i_0_6254,i_0_6256,i_0_6258,i_0_6260,i_0_6262,i_0_6264,i_0_6266,i_0_6268,i_0_6270,i_0_6272,i_0_6274,i_0_6309,i_0_6358,i_0_6364,i_0_5298,i_0_4909,i_0_4611,i_0_5605,i_0_5648,i_0_5688,i_0_5701,i_0_5754,i_0_5757,i_0_5867,i_0_5880,i_0_5894,i_0_5935,i_0_5940,i_0_5989,i_0_6063,i_0_6125,i_0_6127,i_0_6129,i_0_6133,i_0_6135,i_0_6137,i_0_6139,i_0_6355,i_0_6371,i_0_6423,i_0_6462,i_0_6466,i_0_4871,i_0_4590,i_0_5784,i_0_5512,i_0_5786,i_0_4593,i_0_5897,i_0_5552,i_0_4925,i_0_4924,i_0_4954,i_0_4847,i_0_5825,i_0_5828,i_0_6051,i_0_6326,i_0_4929,i_0_4935,i_0_4930,i_0_4827,i_0_5550,i_0_5484,i_0_4922,i_0_4923,i_0_4596,i_0_4880,i_0_4882,i_0_4920,i_0_4921,i_0_4599,i_0_5806,i_0_5904,i_0_6011,i_0_6064,i_0_4858,i_0_4517,i_0_6455,i_0_3810,i_0_6361,i_0_4486,i_0_4245,i_0_4243,i_0_4244,i_0_4247,i_0_4249,i_0_3233,i_0_4246,i_0_3602,i_0_3470,i_0_3860,i_0_3941,i_0_2740,i_0_2719,i_0_5161,i_0_5388,i_0_5367,i_0_5092,i_0_5449,i_0_5453,i_0_5796,i_0_6520,i_0_5462,i_0_5064,i_0_5685,i_0_5147,i_0_5096,i_0_4749,i_0_5025,i_0_5423,i_0_4641,i_0_5558,i_0_5582,i_0_6036,i_0_6387,i_0_6414,i_0_4629,i_0_4632,i_0_5655,i_0_5710,i_0_5716,i_0_5719,i_0_5774,i_0_5913,i_0_6057,i_0_4657,i_0_6081,i_0_4677,i_0_5520,i_0_5014,i_0_5364,i_0_4638,i_0_4741,i_0_4635,i_0_5002,i_0_5585,i_0_5713,i_0_4706,i_0_5926,i_0_6545,i_0_6623,i_0_6636,i_0_4700,i_0_5632,i_0_6007,i_0_6411,i_0_5101,i_0_5691,i_0_5766,i_0_6380,i_0_6512,i_0_5532,i_0_4660,i_0_4731,i_0_5351,i_0_4695,i_0_5062,i_0_5078,i_0_5751,i_0_6374,i_0_5084,i_0_5396,i_0_5324,i_0_5528,i_0_5534,i_0_3715,i_0_6320,i_0_6323,i_0_6334,i_0_6340,i_0_4103,i_0_4191,i_0_4194,i_0_4252,i_0_3067,i_0_3887,i_0_3964,i_0_3967,i_0_6349,i_0_6352,i_0_3605,i_0_6279,i_0_3953,i_0_4106,i_0_4110,i_0_4111,i_0_4148,i_0_4156,i_0_4160,i_0_4164,i_0_4178,i_0_4179,i_0_4197,i_0_4219,i_0_4237,i_0_4264,i_0_4277,i_0_3811,i_0_3589,i_0_4107,i_0_4122,i_0_4130,i_0_4193,i_0_4215,i_0_4279,i_0_4290,i_0_4298,i_0_4108,i_0_4190,i_0_4213,i_0_4267,i_0_4274,i_0_4284,i_0_4304,i_0_4127,i_0_4196,i_0_4278,i_0_4280,i_0_4117,i_0_4180,i_0_4253,i_0_4255,i_0_4266,i_0_4131,i_0_4181,i_0_4294,i_0_4276,i_0_4293,i_0_4265,i_0_4285,i_0_4275,i_0_4308,i_0_4305,i_0_4303,i_0_3345,i_0_3260,i_0_4562,i_0_4564,i_0_3212,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3775,i_0_3809,i_0_3816,i_0_3825,i_0_3827,i_0_3828,i_0_4087,i_0_4440,i_0_4470,i_0_3028,i_0_3209,i_0_3210,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3638,i_0_3778,i_0_3030,i_0_3031,i_0_3350,i_0_3366,i_0_3368,i_0_3637,i_0_3927,i_0_3694,i_0_3574,i_0_3587,i_0_3588,i_0_3674,i_0_3936,i_0_3253,i_0_3372,i_0_3563,i_0_3632,i_0_3686,i_0_3762,i_0_3763,i_0_3951,i_0_3162,i_0_3255,i_0_3271,i_0_3272,i_0_3364,i_0_3370,i_0_3425,i_0_3797,i_0_3148,i_0_3163,i_0_3347,i_0_3691,i_0_3639,i_0_3351,i_0_3357,i_0_3761,i_0_3256,i_0_3258,i_0_3660,i_0_3273,i_0_2937,i_0_3663,i_0_3424,i_0_3950,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3474,i_0_3190,i_0_3214,i_0_3566,i_0_3126,i_0_3127,i_0_3961,i_0_3120,i_0_3013,i_0_3130,i_0_3131,i_0_3125,i_0_2873,i_0_2872,i_0_2843,i_0_3227,i_0_3245,i_0_3315,i_0_3438,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2721,i_0_2781,i_0_3415,i_0_3627,i_0_3740,i_0_3741,i_0_3772,i_0_3869,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3434,i_0_3510,i_0_3570,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3550,i_0_3553,i_0_3558,i_0_3739,i_0_3867,i_0_3868,i_0_3888,i_0_3923,i_0_3997,i_0_3998,i_0_4004,i_0_4005,i_0_3166,i_0_3188,i_0_3306,i_0_3307,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3475,i_0_3505,i_0_3517,i_0_3571,i_0_3754,i_0_4488,i_0_3516,i_0_3518,i_0_3554,i_0_2693,i_0_3984,i_0_3176,i_0_3193,i_0_3302,i_0_3419,i_0_3473,i_0_3495,i_0_3507,i_0_3515,i_0_3678,i_0_3982,i_0_3657,i_0_2926,i_0_3075,i_0_3264,i_0_3128,i_0_3659,i_0_3736,i_0_2925,i_0_3016,i_0_2928,i_0_3506,i_0_3780,i_0_3012,i_0_3243,i_0_3303,i_0_3409,i_0_3511,i_0_3569,i_0_2934,i_0_3304,i_0_3508,i_0_3731,i_0_3309,i_0_3129,i_0_2932,i_0_3813,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4314,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4382,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3387,i_0_3388,i_0_3390,i_0_3393,i_0_2852,i_0_3616,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3049,i_0_3058,i_0_3059,i_0_3139,i_0_3224,i_0_3513,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2816,i_0_2817,i_0_2818,i_0_2845,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3080,i_0_3085,i_0_3177,i_0_3222,i_0_3266,i_0_3480,i_0_3527,i_0_3608,i_0_3609,i_0_3760,i_0_3083,i_0_3084,i_0_3617,i_0_2819,i_0_2902,i_0_2954,i_0_2978,i_0_3104,i_0_3132,i_0_3479,i_0_3481,i_0_3611,i_0_3612,i_0_3932,i_0_2989,i_0_3017,i_0_3018,i_0_3140,i_0_3750,i_0_2900,i_0_2950,i_0_2951,i_0_2979,i_0_3079,i_0_3081,i_0_3082,i_0_3086,i_0_3094,i_0_3112,i_0_3115,i_0_3472,i_0_3529,i_0_3095,i_0_3389,i_0_3752,i_0_2952,i_0_3098,i_0_3471,i_0_3088,i_0_3089,i_0_3096,i_0_3102,i_0_3114,i_0_3141,i_0_3477,i_0_2953,i_0_3100,i_0_3535,i_0_2988,i_0_3090,i_0_3091,i_0_3716,i_0_3099,i_0_3113,i_0_3137,i_0_3092,i_0_3093,i_0_3116,i_0_3530,i_0_3725,i_0_2986,i_0_3103,i_0_3138,i_0_2987,i_0_3097,i_0_3724,i_0_3649,i_0_3647,i_0_3117,i_0_3105,i_0_3118,i_0_3109,i_0_3108,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_3300,i_0_2837,i_0_2836,i_0_3777,i_0_3714,i_0_3149,i_0_3356,i_0_3320,i_0_2946,i_0_3029,i_0_3154,i_0_3261,i_0_3342,i_0_3310,i_0_3147,i_0_2935,i_0_3340,i_0_3293,i_0_3358,i_0_3935,i_0_3476,i_0_2911,i_0_3681,i_0_3161,i_0_3124,i_0_3063,i_0_3229]) ).

cnf(i_0_6692,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3229]) ).

cnf(i_0_6693,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4599]) ).

cnf(i_0_6694,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6695,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3803]) ).

cnf(i_0_6697,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_5707,i_0_3861]) ).

cnf(i_0_6698,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3) != X3,
    inference(rename_variables,[],[i_0_5707]) ).

cnf(i_0_6699,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3861]) ).

cnf(i_0_6700,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5),X2),
    inference(scs_inference,[],[i_0_6288,i_0_5707,i_0_3861,i_0_3156]) ).

cnf(i_0_6701,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X2),
    inference(rename_variables,[],[i_0_6288]) ).

cnf(i_0_6702,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3156]) ).

cnf(i_0_6703,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4)),X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),
    inference(scs_inference,[],[i_0_6288,i_0_6293,i_0_5707,i_0_3861,i_0_3156,i_0_3155]) ).

cnf(i_0_6704,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X2),
    inference(rename_variables,[],[i_0_6293]) ).

cnf(i_0_6705,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3155]) ).

cnf(i_0_6706,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_6288,i_0_6293,i_0_5707,i_0_4666,i_0_3861,i_0_3156,i_0_3155,i_0_3345]) ).

cnf(i_0_6707,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_4666]) ).

cnf(i_0_6708,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3345]) ).

cnf(i_0_6709,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk2_0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3)),X3),
    inference(scs_inference,[],[i_0_6288,i_0_6293,i_0_5707,i_0_4666,i_0_6566,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154]) ).

cnf(i_0_6710,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk2_0,X3)),X3),
    inference(rename_variables,[],[i_0_6566]) ).

cnf(i_0_6711,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
    inference(rename_variables,[],[i_0_3154]) ).

cnf(i_0_6712,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_6288,i_0_6293,i_0_5707,i_0_4666,i_0_6655,i_0_6566,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946]) ).

cnf(i_0_6713,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2946]) ).

cnf(i_0_6714,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6288,i_0_6293,i_0_5707,i_0_4666,i_0_6655,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261]) ).

cnf(i_0_6715,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3261]) ).

cnf(i_0_6716,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_6288,i_0_6293,i_0_5707,i_0_4666,i_0_6655,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342]) ).

cnf(i_0_6717,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),X1),
    inference(rename_variables,[],[i_0_6581]) ).

cnf(i_0_6718,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3342]) ).

cnf(i_0_6719,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6288,i_0_6293,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935]) ).

cnf(i_0_6720,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X3)),
    inference(rename_variables,[],[i_0_5715]) ).

cnf(i_0_6721,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_2935]) ).

cnf(i_0_6722,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4)),X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),
    inference(scs_inference,[],[i_0_6288,i_0_6293,i_0_6303,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147]) ).

cnf(i_0_6723,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X2),
    inference(rename_variables,[],[i_0_6303]) ).

cnf(i_0_6724,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3147]) ).

cnf(i_0_6725,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),
    inference(scs_inference,[],[i_0_6288,i_0_6293,i_0_6303,i_0_6723,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340]) ).

cnf(i_0_6726,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X2),
    inference(rename_variables,[],[i_0_6303]) ).

cnf(i_0_6727,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3340]) ).

cnf(i_0_6728,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_2776,i_0_6288,i_0_6293,i_0_6303,i_0_6723,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562]) ).

cnf(i_0_6729,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(X1)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rename_variables,[],[i_0_4562]) ).

cnf(i_0_6730,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),v_z____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),
    inference(scs_inference,[],[i_0_2776,i_0_6288,i_0_6293,i_0_6303,i_0_6723,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564]) ).

cnf(i_0_6731,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X1),v_z____)),X1) ),
    inference(rename_variables,[],[i_0_4564]) ).

cnf(i_0_6732,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_2776,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294]) ).

cnf(i_0_6733,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)),X4),
    inference(rename_variables,[],[i_0_6538]) ).

cnf(i_0_6734,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3294]) ).

cnf(i_0_6735,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_2776,i_0_5214,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746]) ).

cnf(i_0_6736,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3746]) ).

cnf(i_0_6737,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_z____)) != c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_5214,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829]) ).

cnf(i_0_6738,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3829]) ).

cnf(i_0_6739,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,esk22_2(X1,X2)) = esk22_2(X1,X2),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_5214,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895]) ).

cnf(i_0_6740,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = X1 ),
    inference(rename_variables,[],[i_0_3895]) ).

cnf(i_0_6741,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828]) ).

cnf(i_0_6742,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3828]) ).

cnf(i_0_6743,plain,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_5240,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440]) ).

cnf(i_0_6744,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = X1 ),
    inference(rename_variables,[],[i_0_4440]) ).

cnf(i_0_6745,plain,
    c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_5240,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470]) ).

cnf(i_0_6746,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1) ),
    inference(rename_variables,[],[i_0_4470]) ).

cnf(i_0_6747,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X1),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_5240,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_4596,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028]) ).

cnf(i_0_6748,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_4596]) ).

cnf(i_0_6749,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2) ),
    inference(rename_variables,[],[i_0_3028]) ).

cnf(i_0_6750,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_5240,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5860,i_0_4596,i_0_4666,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493]) ).

cnf(i_0_6751,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2),X1) ),
    inference(rename_variables,[],[i_0_3493]) ).

cnf(i_0_6752,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_5240,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630]) ).

cnf(i_0_6753,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_6754,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3630]) ).

cnf(i_0_6755,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_5240,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636]) ).

cnf(i_0_6756,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3636]) ).

cnf(i_0_6757,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_5240,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662]) ).

cnf(i_0_6758,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1) ),
    inference(rename_variables,[],[i_0_3662]) ).

cnf(i_0_6759,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_5240,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692]) ).

cnf(i_0_6760,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3692]) ).

cnf(i_0_6761,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6288,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744]) ).

cnf(i_0_6762,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1) ),
    inference(rename_variables,[],[i_0_3744]) ).

cnf(i_0_6763,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6288,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893]) ).

cnf(i_0_6764,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),X3),
    inference(rename_variables,[],[i_0_6551]) ).

cnf(i_0_6765,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = X1 ),
    inference(rename_variables,[],[i_0_3893]) ).

cnf(i_0_6766,plain,
    c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6288,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5687,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086]) ).

cnf(i_0_6767,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_6768,plain,
    ( X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_4086]) ).

cnf(i_0_6769,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))) != X1,
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6288,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5687,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816]) ).

cnf(i_0_6770,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_6771,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != X2 ),
    inference(rename_variables,[],[i_0_3816]) ).

cnf(i_0_6772,plain,
    c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_6288,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5687,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087]) ).

cnf(i_0_6773,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_4087]) ).

cnf(i_0_6774,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6)),X2),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_6288,i_0_6300,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5687,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366]) ).

cnf(i_0_6775,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X2),
    inference(rename_variables,[],[i_0_6300]) ).

cnf(i_0_6776,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3366]) ).

cnf(i_0_6777,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6)),X3),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_5707,i_0_5687,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368]) ).

cnf(i_0_6778,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X2),
    inference(rename_variables,[],[i_0_6300]) ).

cnf(i_0_6779,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3368]) ).

cnf(i_0_6780,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6532,i_0_5707,i_0_5687,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212]) ).

cnf(i_0_6781,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3212]) ).

cnf(i_0_6782,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_z____)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6532,i_0_5707,i_0_5687,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694]) ).

cnf(i_0_6783,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(rename_variables,[],[i_0_3694]) ).

cnf(i_0_6784,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6532,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775]) ).

cnf(i_0_6785,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3775]) ).

cnf(i_0_6786,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),X3),X2)),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6532,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030]) ).

cnf(i_0_6787,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_5012]) ).

cnf(i_0_6788,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)) ),
    inference(rename_variables,[],[i_0_3030]) ).

cnf(i_0_6789,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210]) ).

cnf(i_0_6790,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(rename_variables,[],[i_0_3210]) ).

cnf(i_0_6791,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,c_Groups_Oone__class_Oone(tc_Int_Oint))),X3),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350]) ).

cnf(i_0_6792,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),X3),
    inference(rename_variables,[],[i_0_6551]) ).

cnf(i_0_6793,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3350]) ).

cnf(i_0_6794,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),X5),X3),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_6558,i_0_6598,i_0_5812,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372]) ).

cnf(i_0_6795,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_6796,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3372]) ).

cnf(i_0_6797,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637]) ).

cnf(i_0_6798,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3637]) ).

cnf(i_0_6799,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762]) ).

cnf(i_0_6800,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1) ),
    inference(rename_variables,[],[i_0_3762]) ).

cnf(i_0_6801,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X2,X3),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1))),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763]) ).

cnf(i_0_6802,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(rename_variables,[],[i_0_3763]) ).

cnf(i_0_6803,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1,X1),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927]) ).

cnf(i_0_6804,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
    inference(rename_variables,[],[i_0_3927]) ).

cnf(i_0_6805,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_NthRoot_Osqrt(esk20_0))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5589,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638]) ).

cnf(i_0_6806,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3638]) ).

cnf(i_0_6807,plain,
    c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778]) ).

cnf(i_0_6808,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3778]) ).

cnf(i_0_6809,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)) != X4,
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951]) ).

cnf(i_0_6810,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3951]) ).

cnf(i_0_6811,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293]) ).

cnf(i_0_6812,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)),X4),
    inference(rename_variables,[],[i_0_6345]) ).

cnf(i_0_6813,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3293]) ).

cnf(i_0_6814,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425]) ).

cnf(i_0_6815,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_6816,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3425]) ).

cnf(i_0_6817,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563]) ).

cnf(i_0_6818,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_6819,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(rename_variables,[],[i_0_3563]) ).

cnf(i_0_6820,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574]) ).

cnf(i_0_6821,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_6822,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3574]) ).

cnf(i_0_6823,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,c_Groups_Oone__class_Oone(tc_Int_Oint))) != X3,
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588]) ).

cnf(i_0_6824,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),X3),
    inference(rename_variables,[],[i_0_6551]) ).

cnf(i_0_6825,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3588]) ).

cnf(i_0_6826,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674]) ).

cnf(i_0_6827,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3674]) ).

cnf(i_0_6828,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809]) ).

cnf(i_0_6829,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_6830,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3809]) ).

cnf(i_0_6831,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4),X2),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347]) ).

cnf(i_0_6832,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_6833,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3347]) ).

cnf(i_0_6834,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),X5),X2),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370]) ).

cnf(i_0_6835,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_6836,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3370]) ).

cnf(i_0_6837,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632]) ).

cnf(i_0_6838,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3632]) ).

cnf(i_0_6839,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691]) ).

cnf(i_0_6840,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3691]) ).

cnf(i_0_6841,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827]) ).

cnf(i_0_6842,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3827]) ).

cnf(i_0_6843,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X3)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031]) ).

cnf(i_0_6844,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_6845,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) ),
    inference(rename_variables,[],[i_0_3031]) ).

cnf(i_0_6846,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X2),X1),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_6787,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162]) ).

cnf(i_0_6847,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_5012]) ).

cnf(i_0_6848,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3162]) ).

cnf(i_0_6849,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X3)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_6787,i_0_6847,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271]) ).

cnf(i_0_6850,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_5012]) ).

cnf(i_0_6851,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3271]) ).

cnf(i_0_6852,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3),X3)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272]) ).

cnf(i_0_6853,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_5012]) ).

cnf(i_0_6854,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3272]) ).

cnf(i_0_6855,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364]) ).

cnf(i_0_6856,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_5041]) ).

cnf(i_0_6857,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3364]) ).

cnf(i_0_6858,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686]) ).

cnf(i_0_6859,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))) = X1,
    inference(rename_variables,[],[i_0_5873]) ).

cnf(i_0_6860,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3686]) ).

cnf(i_0_6861,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3) != X2,
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825]) ).

cnf(i_0_6862,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_6863,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936]) ).

cnf(i_0_6864,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_6865,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = X2 ),
    inference(rename_variables,[],[i_0_3936]) ).

cnf(i_0_6866,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1),esk32_2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163]) ).

cnf(i_0_6867,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3163]) ).

cnf(i_0_6868,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258]) ).

cnf(i_0_6869,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_6870,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3258]) ).

cnf(i_0_6871,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,c_Groups_Oone__class_Oone(tc_Int_Oint))),X3),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351]) ).

cnf(i_0_6872,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),X3),
    inference(rename_variables,[],[i_0_6551]) ).

cnf(i_0_6873,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3351]) ).

cnf(i_0_6874,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253]) ).

cnf(i_0_6875,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),
    inference(rename_variables,[],[i_0_5703]) ).

cnf(i_0_6876,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3253]) ).

cnf(i_0_6877,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255]) ).

cnf(i_0_6878,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_4648]) ).

cnf(i_0_6879,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3255]) ).

cnf(i_0_6880,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797]) ).

cnf(i_0_6881,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3797]) ).

cnf(i_0_6882,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5),X2),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148]) ).

cnf(i_0_6883,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X2),
    inference(rename_variables,[],[i_0_6300]) ).

cnf(i_0_6884,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3148]) ).

cnf(i_0_6885,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256]) ).

cnf(i_0_6886,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(rename_variables,[],[i_0_5712]) ).

cnf(i_0_6887,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3256]) ).

cnf(i_0_6888,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639]) ).

cnf(i_0_6889,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3639]) ).

cnf(i_0_6890,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424]) ).

cnf(i_0_6891,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X2),
    inference(rename_variables,[],[i_0_6303]) ).

cnf(i_0_6892,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3424]) ).

cnf(i_0_6893,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761]) ).

cnf(i_0_6894,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3761]) ).

cnf(i_0_6895,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935]) ).

cnf(i_0_6896,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3935]) ).

cnf(i_0_6897,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)) != X2,
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950]) ).

cnf(i_0_6898,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3950]) ).

cnf(i_0_6899,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4) != X2,
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587]) ).

cnf(i_0_6900,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_6901,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3587]) ).

cnf(i_0_6902,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273]) ).

cnf(i_0_6903,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_6904,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3273]) ).

cnf(i_0_6905,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660]) ).

cnf(i_0_6906,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_6907,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(rename_variables,[],[i_0_3660]) ).

cnf(i_0_6908,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937]) ).

cnf(i_0_6909,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_6910,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_2937]) ).

cnf(i_0_6911,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663]) ).

cnf(i_0_6912,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(rename_variables,[],[i_0_5087]) ).

cnf(i_0_6913,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
    inference(rename_variables,[],[i_0_3663]) ).

cnf(i_0_6914,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X2)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251]) ).

cnf(i_0_6915,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_5012]) ).

cnf(i_0_6916,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3251]) ).

cnf(i_0_6917,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X1,X2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328]) ).

cnf(i_0_6918,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X2,X3,X1)) ),
    inference(rename_variables,[],[i_0_3328]) ).

cnf(i_0_6919,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635]) ).

cnf(i_0_6920,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3635]) ).

cnf(i_0_6921,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254]) ).

cnf(i_0_6922,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3254]) ).

cnf(i_0_6923,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313]) ).

cnf(i_0_6924,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)) != X1,
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5681,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331]) ).

cnf(i_0_6925,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) != X1,
    inference(rename_variables,[],[i_0_5681]) ).

cnf(i_0_6926,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5610,i_0_5681,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330]) ).

cnf(i_0_6927,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3) != X1,
    inference(rename_variables,[],[i_0_5610]) ).

cnf(i_0_6928,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5610,i_0_5681,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4265,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215]) ).

cnf(i_0_6929,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3215]) ).

cnf(i_0_6930,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5610,i_0_5681,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4265,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930]) ).

cnf(i_0_6931,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2930]) ).

cnf(i_0_6932,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5610,i_0_5681,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4265,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214]) ).

cnf(i_0_6933,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3214]) ).

cnf(i_0_6934,plain,
    X1 = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5610,i_0_5681,i_0_5873,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566]) ).

cnf(i_0_6935,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3810]) ).

cnf(i_0_6936,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3566]) ).

cnf(i_0_6937,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))) = X1,
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961]) ).

cnf(i_0_6938,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))) = X1,
    inference(rename_variables,[],[i_0_5873]) ).

cnf(i_0_6939,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Groups_Ogroup__add(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3961]) ).

cnf(i_0_6940,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5634,i_0_5805,i_0_6502,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476]) ).

cnf(i_0_6941,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3476]) ).

cnf(i_0_6942,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474]) ).

cnf(i_0_6943,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2),
    inference(rename_variables,[],[i_0_5922]) ).

cnf(i_0_6944,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3474]) ).

cnf(i_0_6945,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447]) ).

cnf(i_0_6946,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_6947,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3447]) ).

cnf(i_0_6948,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X2),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126]) ).

cnf(i_0_6949,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),X2),
    inference(rename_variables,[],[i_0_5736]) ).

cnf(i_0_6950,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3126]) ).

cnf(i_0_6951,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916]) ).

cnf(i_0_6952,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_6953,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
    inference(rename_variables,[],[i_0_3943]) ).

cnf(i_0_6954,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3916]) ).

cnf(i_0_6955,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3),esk2_0),X3),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127]) ).

cnf(i_0_6956,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,esk2_0)),X3),
    inference(rename_variables,[],[i_0_6587]) ).

cnf(i_0_6957,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3127]) ).

cnf(i_0_6958,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446]) ).

cnf(i_0_6959,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_6960,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3446]) ).

cnf(i_0_6961,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873]) ).

cnf(i_0_6962,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X1))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3) ),
    inference(rename_variables,[],[i_0_2873]) ).

cnf(i_0_6963,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X6,X7),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X8)))),X5),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013]) ).

cnf(i_0_6964,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X6),X5),
    inference(rename_variables,[],[i_0_5808]) ).

cnf(i_0_6965,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X4) ),
    inference(rename_variables,[],[i_0_3013]) ).

cnf(i_0_6966,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X2,X3),X4)),X4),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130]) ).

cnf(i_0_6967,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)),X4),
    inference(rename_variables,[],[i_0_6538]) ).

cnf(i_0_6968,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3130]) ).

cnf(i_0_6969,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),X5),X6)),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X4)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872]) ).

cnf(i_0_6970,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_4759]) ).

cnf(i_0_6971,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2872]) ).

cnf(i_0_6972,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X4)),X5),X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125]) ).

cnf(i_0_6973,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X4)),X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_6665]) ).

cnf(i_0_6974,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3125]) ).

cnf(i_0_6975,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk2_0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),X3)),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131]) ).

cnf(i_0_6976,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk2_0,X3)),X3),
    inference(rename_variables,[],[i_0_6478]) ).

cnf(i_0_6977,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3131]) ).

cnf(i_0_6978,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120]) ).

cnf(i_0_6979,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X2)),
    inference(rename_variables,[],[i_0_5773]) ).

cnf(i_0_6980,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_5604]) ).

cnf(i_0_6981,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
    inference(rename_variables,[],[i_0_3120]) ).

cnf(i_0_6982,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk36_1(X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227]) ).

cnf(i_0_6983,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_6984,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3227]) ).

cnf(i_0_6985,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk36_1(X1)))),esk15_0),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245]) ).

cnf(i_0_6986,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_6987,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,esk15_0) ),
    inference(rename_variables,[],[i_0_3245]) ).

cnf(i_0_6988,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_z____))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6223,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545]) ).

cnf(i_0_6989,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3545]) ).

cnf(i_0_6990,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6223,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785]) ).

cnf(i_0_6991,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3785]) ).

cnf(i_0_6992,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6223,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787]) ).

cnf(i_0_6993,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3787]) ).

cnf(i_0_6994,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6207,i_0_6223,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788]) ).

cnf(i_0_6995,plain,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3788]) ).

cnf(i_0_6996,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6207,i_0_6223,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789]) ).

cnf(i_0_6997,plain,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3789]) ).

cnf(i_0_6998,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X1,X2),X3) = c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X4,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X1,X4),X2),X3))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6207,i_0_6156,i_0_6223,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781]) ).

cnf(i_0_6999,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7000,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5) != X6
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2781]) ).

cnf(i_0_7001,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6207,i_0_6156,i_0_6223,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627]) ).

cnf(i_0_7002,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3627]) ).

cnf(i_0_7003,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6207,i_0_6156,i_0_6223,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772]) ).

cnf(i_0_7004,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_7005,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6207,i_0_6156,i_0_6223,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870]) ).

cnf(i_0_7006,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Odivision__ring__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3870]) ).

cnf(i_0_7007,plain,
    hAPP(c_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))))),X1) = c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6207,i_0_6156,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899]) ).

cnf(i_0_7008,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7009,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | hAPP(c_Polynomial_Opoly(X2,X1),X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oidom(X2) ),
    inference(rename_variables,[],[i_0_3899]) ).

cnf(i_0_7010,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6207,i_0_6156,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921]) ).

cnf(i_0_7011,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | c_Orderings_Oord__class_Oless__eq(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3921]) ).

cnf(i_0_7012,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6207,i_0_6156,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922]) ).

cnf(i_0_7013,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | X2 != X3
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3922]) ).

cnf(i_0_7014,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))) = X1,
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_6207,i_0_6156,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974]) ).

cnf(i_0_7015,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7016,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != X3
    | c_Groups_Ouminus__class_Ouminus(X1,X3) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3974]) ).

cnf(i_0_7017,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X2))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_6263,i_0_6207,i_0_6156,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978]) ).

cnf(i_0_7018,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7019,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Groups_Ozero(X2) ),
    inference(rename_variables,[],[i_0_3978]) ).

cnf(i_0_7020,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_6598,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_6263,i_0_6207,i_0_6156,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980]) ).

cnf(i_0_7021,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7022,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Groups_Ozero(X2) ),
    inference(rename_variables,[],[i_0_3980]) ).

cnf(i_0_7023,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_6263,i_0_6207,i_0_6156,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999]) ).

cnf(i_0_7024,plain,
    ( c_Groups_Ozero__class_Ozero(X1) != X2
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3999]) ).

cnf(i_0_7025,plain,
    c_Int_Oiszero(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_6263,i_0_6207,i_0_6156,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006]) ).

cnf(i_0_7026,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Osemiring__1(X2)
    | c_Int_Oiszero(X2,X1) ),
    inference(rename_variables,[],[i_0_4006]) ).

cnf(i_0_7027,plain,
    X1 = c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492]) ).

cnf(i_0_7028,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7029,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Otimes__class_Otimes(X2,c_Rings_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4492]) ).

cnf(i_0_7030,plain,
    X1 = c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_3833,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493]) ).

cnf(i_0_7031,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7032,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Rings_Oinverse__class_Odivide(X2,c_Groups_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4493]) ).

cnf(i_0_7033,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_Nat_Onat),X2,X2),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726]) ).

cnf(i_0_7034,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(rename_variables,[],[i_0_3962]) ).

cnf(i_0_7035,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk9_4(X3,X2,X4,X1)),hAPP(X3,esk9_4(X3,X2,X4,X1)))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X1),X2,X3)
    | ~ class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2726]) ).

cnf(i_0_7036,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X4,X1)),X2)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782]) ).

cnf(i_0_7037,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X3),X2))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_4832]) ).

cnf(i_0_7038,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,c_Groups_Ominus__class_Ominus(X2,X3,X4),X5),X6)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X4,X5),X1) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X5),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2782]) ).

cnf(i_0_7039,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X1,X2),X3) != c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X4,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X1,X4),X2),X3),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783]) ).

cnf(i_0_7040,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(rename_variables,[],[i_0_4609]) ).

cnf(i_0_7041,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5) = X6
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) != c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2783]) ).

cnf(i_0_7042,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X3,X1),X2),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X5)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X3,X1),X2),X4),X6))) != c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),X3,X2),X4),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784]) ).

cnf(i_0_7043,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7044,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,c_Groups_Ominus__class_Ominus(X2,X3,X4),X5),X6)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X4,X5),X1) != c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X5),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2784]) ).

cnf(i_0_7045,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X1))),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842]) ).

cnf(i_0_7046,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7047,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X3,X4),X2)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2842]) ).

cnf(i_0_7048,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180]) ).

cnf(i_0_7049,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_7050,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X2) ),
    inference(rename_variables,[],[i_0_3180]) ).

cnf(i_0_7051,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292]) ).

cnf(i_0_7052,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_5625]) ).

cnf(i_0_7053,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(rename_variables,[],[i_0_3292]) ).

cnf(i_0_7054,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305]) ).

cnf(i_0_7055,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(rename_variables,[],[i_0_3962]) ).

cnf(i_0_7056,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3305]) ).

cnf(i_0_7057,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X4,X5))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420]) ).

cnf(i_0_7058,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)),X4),
    inference(rename_variables,[],[i_0_6345]) ).

cnf(i_0_7059,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X1) ),
    inference(rename_variables,[],[i_0_3420]) ).

cnf(i_0_7060,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429]) ).

cnf(i_0_7061,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(rename_variables,[],[i_0_5087]) ).

cnf(i_0_7062,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3429]) ).

cnf(i_0_7063,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)))),X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431]) ).

cnf(i_0_7064,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(rename_variables,[],[i_0_5087]) ).

cnf(i_0_7065,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3431]) ).

cnf(i_0_7066,plain,
    ~ c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oabs__class_Oabs(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X2))),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655]) ).

cnf(i_0_7067,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7068,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3655]) ).

cnf(i_0_7069,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675]) ).

cnf(i_0_7070,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Otimes__class_Otimes(X2,X3,X3)
    | ~ class_Rings_Oidom(X2) ),
    inference(rename_variables,[],[i_0_3675]) ).

cnf(i_0_7071,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))))) = c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779]) ).

cnf(i_0_7072,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7073,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3779]) ).

cnf(i_0_7074,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814]) ).

cnf(i_0_7075,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Oplus__class_Oplus(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3814]) ).

cnf(i_0_7076,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))))) = c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866]) ).

cnf(i_0_7077,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7078,plain,
    ( X1 != c_Groups_Oone__class_Oone(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3866]) ).

cnf(i_0_7079,plain,
    c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976]) ).

cnf(i_0_7080,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3976]) ).

cnf(i_0_7081,plain,
    ~ c_Int_Oiszero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),X2))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996]) ).

cnf(i_0_7082,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7083,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Int_Oiszero(X2,X1)
    | ~ class_Rings_Osemiring__1(X2) ),
    inference(rename_variables,[],[i_0_3996]) ).

cnf(i_0_7084,plain,
    c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))) = X1,
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489]) ).

cnf(i_0_7085,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7086,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,c_Groups_Otimes__class_Otimes(X2,X3,X1),X1) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4489]) ).

cnf(i_0_7087,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438]) ).

cnf(i_0_7088,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3438]) ).

cnf(i_0_7089,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_z____))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546]) ).

cnf(i_0_7090,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3546]) ).

cnf(i_0_7091,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558]) ).

cnf(i_0_7092,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),X3) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_6675]) ).

cnf(i_0_7093,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_4751]) ).

cnf(i_0_7094,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3558]) ).

cnf(i_0_7095,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),X3) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867]) ).

cnf(i_0_7096,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3867]) ).

cnf(i_0_7097,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X2,X3))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868]) ).

cnf(i_0_7098,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3868]) ).

cnf(i_0_7099,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998]) ).

cnf(i_0_7100,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Ouminus__class_Ouminus(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3998]) ).

cnf(i_0_7101,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166]) ).

cnf(i_0_7102,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_7103,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7104,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(X2,X1),X2) ),
    inference(rename_variables,[],[i_0_3166]) ).

cnf(i_0_7105,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319]) ).

cnf(i_0_7106,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X1,X2)) ),
    inference(rename_variables,[],[i_0_3319]) ).

cnf(i_0_7107,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X1,
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414]) ).

cnf(i_0_7108,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7109,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)),
    inference(rename_variables,[],[i_0_4654]) ).

cnf(i_0_7110,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(rename_variables,[],[i_0_3414]) ).

cnf(i_0_7111,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Power_Opower__class_Opower(tc_Nat_Onat,X4,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X5),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418]) ).

cnf(i_0_7112,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4),X5),X4),
    inference(rename_variables,[],[i_0_6590]) ).

cnf(i_0_7113,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(rename_variables,[],[i_0_3418]) ).

cnf(i_0_7114,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432]) ).

cnf(i_0_7115,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7116,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3432]) ).

cnf(i_0_7117,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436]) ).

cnf(i_0_7118,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3436]) ).

cnf(i_0_7119,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505]) ).

cnf(i_0_7120,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3505]) ).

cnf(i_0_7121,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))) = X1,
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488]) ).

cnf(i_0_7122,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7123,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,c_Rings_Oinverse__class_Odivide(X2,X3,X1),X1) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4488]) ).

cnf(i_0_7124,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741]) ).

cnf(i_0_7125,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) = X1,
    inference(rename_variables,[],[i_0_3944]) ).

cnf(i_0_7126,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3741]) ).

cnf(i_0_7127,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923]) ).

cnf(i_0_7128,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | c_Orderings_Oord__class_Oless__eq(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3923]) ).

cnf(i_0_7129,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997]) ).

cnf(i_0_7130,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oabs__class_Oabs(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3997]) ).

cnf(i_0_7131,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004]) ).

cnf(i_0_7132,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Ouminus__class_Ouminus(X2,X1) = X1
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_4004]) ).

cnf(i_0_7133,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005]) ).

cnf(i_0_7134,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X1 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_4005]) ).

cnf(i_0_7135,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176]) ).

cnf(i_0_7136,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7137,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_7138,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3176]) ).

cnf(i_0_7139,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193]) ).

cnf(i_0_7140,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_7141,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_7142,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_3193]) ).

cnf(i_0_7143,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306]) ).

cnf(i_0_7144,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3306]) ).

cnf(i_0_7145,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),X3)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307]) ).

cnf(i_0_7146,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3307]) ).

cnf(i_0_7147,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419]) ).

cnf(i_0_7148,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_4666]) ).

cnf(i_0_7149,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1) ),
    inference(rename_variables,[],[i_0_3419]) ).

cnf(i_0_7150,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510]) ).

cnf(i_0_7151,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(rename_variables,[],[i_0_5087]) ).

cnf(i_0_7152,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3510]) ).

cnf(i_0_7153,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515]) ).

cnf(i_0_7154,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3515]) ).

cnf(i_0_7155,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517]) ).

cnf(i_0_7156,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3517]) ).

cnf(i_0_7157,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570]) ).

cnf(i_0_7158,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3570]) ).

cnf(i_0_7159,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516]) ).

cnf(i_0_7160,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3516]) ).

cnf(i_0_7161,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518]) ).

cnf(i_0_7162,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3518]) ).

cnf(i_0_7163,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550]) ).

cnf(i_0_7164,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3550]) ).

cnf(i_0_7165,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739]) ).

cnf(i_0_7166,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,X2) = X3
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_7167,plain,
    c_Int_OPls = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740]) ).

cnf(i_0_7168,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X1) = X1,
    inference(rename_variables,[],[i_0_3965]) ).

cnf(i_0_7169,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3740]) ).

cnf(i_0_7170,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869]) ).

cnf(i_0_7171,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_3869]) ).

cnf(i_0_7172,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888]) ).

cnf(i_0_7173,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Oplus__class_Oplus(X2,X3,X1)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(rename_variables,[],[i_0_3888]) ).

cnf(i_0_7174,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302]) ).

cnf(i_0_7175,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3302]) ).

cnf(i_0_7176,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434]) ).

cnf(i_0_7177,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7178,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3434]) ).

cnf(i_0_7179,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507]) ).

cnf(i_0_7180,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3507]) ).

cnf(i_0_7181,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553]) ).

cnf(i_0_7182,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3553]) ).

cnf(i_0_7183,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736]) ).

cnf(i_0_7184,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3736]) ).

cnf(i_0_7185,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_4654,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925]) ).

cnf(i_0_7186,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),
    inference(rename_variables,[],[i_0_5274]) ).

cnf(i_0_7187,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3)),X1),
    inference(rename_variables,[],[i_0_5019]) ).

cnf(i_0_7188,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_2925]) ).

cnf(i_0_7189,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1),X1),X1),X1)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926]) ).

cnf(i_0_7190,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)),
    inference(rename_variables,[],[i_0_5012]) ).

cnf(i_0_7191,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),X2)),
    inference(rename_variables,[],[i_0_5008]) ).

cnf(i_0_7192,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2926]) ).

cnf(i_0_7193,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4),X4),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016]) ).

cnf(i_0_7194,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),X3),
    inference(rename_variables,[],[i_0_6551]) ).

cnf(i_0_7195,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7196,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X4) ),
    inference(rename_variables,[],[i_0_3016]) ).

cnf(i_0_7197,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754]) ).

cnf(i_0_7198,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),X2),
    inference(rename_variables,[],[i_0_6115]) ).

cnf(i_0_7199,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7200,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3754]) ).

cnf(i_0_7201,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))),X3)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843]) ).

cnf(i_0_7202,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7203,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2843]) ).

cnf(i_0_7204,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554]) ).

cnf(i_0_7205,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3554]) ).

cnf(i_0_7206,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264]) ).

cnf(i_0_7207,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7208,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_5604]) ).

cnf(i_0_7209,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_3264]) ).

cnf(i_0_7210,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475]) ).

cnf(i_0_7211,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3475]) ).

cnf(i_0_7212,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571]) ).

cnf(i_0_7213,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_7214,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3571]) ).

cnf(i_0_7215,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657]) ).

cnf(i_0_7216,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3657]) ).

cnf(i_0_7217,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X2),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_5625,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012]) ).

cnf(i_0_7218,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X2),X3),X3),
    inference(rename_variables,[],[i_0_6087]) ).

cnf(i_0_7219,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_4596]) ).

cnf(i_0_7220,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4) ),
    inference(rename_variables,[],[i_0_3012]) ).

cnf(i_0_7221,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409]) ).

cnf(i_0_7222,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2),
    inference(rename_variables,[],[i_0_5922]) ).

cnf(i_0_7223,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3409]) ).

cnf(i_0_7224,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984]) ).

cnf(i_0_7225,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3984]) ).

cnf(i_0_7226,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659]) ).

cnf(i_0_7227,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3659]) ).

cnf(i_0_7228,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473]) ).

cnf(i_0_7229,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3473]) ).

cnf(i_0_7230,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495]) ).

cnf(i_0_7231,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(rename_variables,[],[i_0_2684]) ).

cnf(i_0_7232,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3495]) ).

cnf(i_0_7233,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506]) ).

cnf(i_0_7234,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3506]) ).

cnf(i_0_7235,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681]) ).

cnf(i_0_7236,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_6322]) ).

cnf(i_0_7237,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3681]) ).

cnf(i_0_7238,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075]) ).

cnf(i_0_7239,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3) != X1,
    inference(rename_variables,[],[i_0_5610]) ).

cnf(i_0_7240,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3)),X2),
    inference(rename_variables,[],[i_0_5518]) ).

cnf(i_0_7241,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3075]) ).

cnf(i_0_7242,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415]) ).

cnf(i_0_7243,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_5620]) ).

cnf(i_0_7244,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),
    inference(rename_variables,[],[i_0_5274]) ).

cnf(i_0_7245,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != X3
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3415]) ).

cnf(i_0_7246,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X2)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928]) ).

cnf(i_0_7247,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X3)),
    inference(rename_variables,[],[i_0_5715]) ).

cnf(i_0_7248,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2928]) ).

cnf(i_0_7249,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161]) ).

cnf(i_0_7250,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4)),
    inference(rename_variables,[],[i_0_5759]) ).

cnf(i_0_7251,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),
    inference(rename_variables,[],[i_0_5612]) ).

cnf(i_0_7252,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3161]) ).

cnf(i_0_7253,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731]) ).

cnf(i_0_7254,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3731]) ).

cnf(i_0_7255,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511]) ).

cnf(i_0_7256,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7257,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3511]) ).

cnf(i_0_7258,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243]) ).

cnf(i_0_7259,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3071]) ).

cnf(i_0_7260,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_5604]) ).

cnf(i_0_7261,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_7262,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678]) ).

cnf(i_0_7263,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_6062]) ).

cnf(i_0_7264,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_7265,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3678]) ).

cnf(i_0_7266,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303]) ).

cnf(i_0_7267,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3303]) ).

cnf(i_0_7268,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508]) ).

cnf(i_0_7269,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3508]) ).

cnf(i_0_7270,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813]) ).

cnf(i_0_7271,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3813]) ).

cnf(i_0_7272,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X1),X3)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934]) ).

cnf(i_0_7273,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),X3)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(rename_variables,[],[i_0_5821]) ).

cnf(i_0_7274,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2934]) ).

cnf(i_0_7275,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,X6))),X5),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128]) ).

cnf(i_0_7276,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X6),X5),
    inference(rename_variables,[],[i_0_5808]) ).

cnf(i_0_7277,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_3128]) ).

cnf(i_0_7278,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304]) ).

cnf(i_0_7279,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3304]) ).

cnf(i_0_7280,plain,
    c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780]) ).

cnf(i_0_7281,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7282,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3780]) ).

cnf(i_0_7283,plain,
    X1 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569]) ).

cnf(i_0_7284,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),X2)),
    inference(rename_variables,[],[i_0_5008]) ).

cnf(i_0_7285,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3569]) ).

cnf(i_0_7286,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124]) ).

cnf(i_0_7287,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_3124]) ).

cnf(i_0_7288,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309]) ).

cnf(i_0_7289,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3309]) ).

cnf(i_0_7290,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932]) ).

cnf(i_0_7291,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_7292,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2932]) ).

cnf(i_0_7293,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129]) ).

cnf(i_0_7294,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3129]) ).

cnf(i_0_7295,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308]) ).

cnf(i_0_7296,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3308]) ).

cnf(i_0_7297,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X1,X2))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369]) ).

cnf(i_0_7298,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7299,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X1,X2))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370]) ).

cnf(i_0_7300,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7301,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371]) ).

cnf(i_0_7302,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7303,plain,
    ~ c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),tc_RealDef_Oreal),esk22_2(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355]) ).

cnf(i_0_7304,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7305,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356]) ).

cnf(i_0_7306,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7307,plain,
    ~ c_Int_Oiszero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358]) ).

cnf(i_0_7308,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7309,plain,
    ~ c_Int_Oiszero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359]) ).

cnf(i_0_7310,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7311,plain,
    class_Rings_Oring__1__no__zero__divisors(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360]) ).

cnf(i_0_7312,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7313,plain,
    class_Orderings_Oord(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6142,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361]) ).

cnf(i_0_7314,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7315,plain,
    class_Rings_Osemiring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6142,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362]) ).

cnf(i_0_7316,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7317,plain,
    class_RealVector_Oreal__normed__algebra(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363]) ).

cnf(i_0_7318,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7319,plain,
    class_Groups_Oordered__ab__group__add__abs(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364]) ).

cnf(i_0_7320,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7321,plain,
    class_RealVector_Oreal__normed__vector(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365]) ).

cnf(i_0_7322,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7323,plain,
    class_Rings_Oidom(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366]) ).

cnf(i_0_7324,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7325,plain,
    class_Int_Oring__char__0(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6154,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367]) ).

cnf(i_0_7326,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7327,plain,
    class_Rings_Oring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6154,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368]) ).

cnf(i_0_7328,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7329,plain,
    class_Rings_Osemiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6154,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372]) ).

cnf(i_0_7330,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7331,plain,
    class_Fields_Olinordered__field(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6154,i_0_6172,i_0_6223,i_0_6152,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373]) ).

cnf(i_0_7332,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7333,plain,
    class_Fields_Ofield(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6154,i_0_6172,i_0_6223,i_0_6152,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374]) ).

cnf(i_0_7334,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7335,plain,
    class_Rings_Oordered__semiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_4832,i_0_6263,i_0_6207,i_0_6156,i_0_6154,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376]) ).

cnf(i_0_7336,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7337,plain,
    class_Rings_Olinordered__ring__strict(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_4832,i_0_6263,i_0_6207,i_0_6166,i_0_6156,i_0_6154,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377]) ).

cnf(i_0_7338,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7339,plain,
    class_Int_Onumber(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_4832,i_0_6263,i_0_6207,i_0_6166,i_0_6156,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378]) ).

cnf(i_0_7340,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7341,plain,
    c_SEQ_Osubseq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_4832,i_0_6263,i_0_6207,i_0_6166,i_0_6156,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379]) ).

cnf(i_0_7342,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7343,plain,
    class_Fields_Ofield__inverse__zero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_4832,i_0_6263,i_0_6207,i_0_6166,i_0_6156,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380]) ).

cnf(i_0_7344,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7345,plain,
    class_Rings_Ocomm__semiring__0(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_4832,i_0_6263,i_0_6207,i_0_6166,i_0_6156,i_0_6175,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383]) ).

cnf(i_0_7346,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7347,plain,
    class_Rings_Ocomm__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_4832,i_0_6263,i_0_6207,i_0_6177,i_0_6166,i_0_6156,i_0_6175,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384]) ).

cnf(i_0_7348,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7349,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_4832,i_0_6263,i_0_6207,i_0_6177,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385]) ).

cnf(i_0_7350,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7351,plain,
    class_Rings_Oordered__comm__semiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_4832,i_0_6263,i_0_6207,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386]) ).

cnf(i_0_7352,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7353,plain,
    class_Rings_Olinordered__semiring__strict(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_4832,i_0_6263,i_0_6207,i_0_6183,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387]) ).

cnf(i_0_7354,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7355,plain,
    class_Rings_Olinordered__comm__semiring__strict(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_4832,i_0_6263,i_0_6207,i_0_6185,i_0_6183,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388]) ).

cnf(i_0_7356,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7357,plain,
    class_Rings_Oordered__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_4832,i_0_6263,i_0_6207,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389]) ).

cnf(i_0_7358,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7359,plain,
    class_RealVector_Oreal__normed__algebra__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_4832,i_0_6263,i_0_6207,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390]) ).

cnf(i_0_7360,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7361,plain,
    class_Groups_Oordered__ab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_4832,i_0_6263,i_0_6207,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391]) ).

cnf(i_0_7362,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7363,plain,
    class_Groups_Oordered__cancel__ab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_4832,i_0_6263,i_0_6207,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392]) ).

cnf(i_0_7364,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7365,plain,
    class_Rings_Olinordered__semidom(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_4832,i_0_6263,i_0_6207,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393]) ).

cnf(i_0_7366,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7367,plain,
    class_Rings_Ocomm__semiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_4832,i_0_6263,i_0_6207,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394]) ).

cnf(i_0_7368,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7369,plain,
    class_RealVector_Oreal__normed__field(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_4832,i_0_6263,i_0_6207,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396]) ).

cnf(i_0_7370,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7371,plain,
    class_Rings_Oordered__cancel__semiring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_4832,i_0_6263,i_0_6207,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397]) ).

cnf(i_0_7372,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7373,plain,
    class_Groups_Oordered__comm__monoid__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_4832,i_0_6263,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398]) ).

cnf(i_0_7374,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7375,plain,
    class_Orderings_Oorder(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_4832,i_0_6263,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401]) ).

cnf(i_0_7376,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7377,plain,
    class_Orderings_Olinorder(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_4832,i_0_6263,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402]) ).

cnf(i_0_7378,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7379,plain,
    class_Groups_Omonoid__mult(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_4832,i_0_6263,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403]) ).

cnf(i_0_7380,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7381,plain,
    class_Power_Opower(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_4832,i_0_6263,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404]) ).

cnf(i_0_7382,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7383,plain,
    class_Groups_Olinordered__ab__group__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_4832,i_0_6263,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405]) ).

cnf(i_0_7384,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7385,plain,
    class_Groups_Oab__semigroup__mult(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_4832,i_0_6263,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406]) ).

cnf(i_0_7386,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7387,plain,
    class_Groups_Oab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_4832,i_0_6263,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407]) ).

cnf(i_0_7388,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7389,plain,
    class_Groups_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_4832,i_0_6263,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409]) ).

cnf(i_0_7390,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7391,plain,
    class_Rings_Olinordered__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_4832,i_0_6263,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410]) ).

cnf(i_0_7392,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7393,plain,
    class_Orderings_Opreorder(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_4832,i_0_6263,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411]) ).

cnf(i_0_7394,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7395,plain,
    class_RealVector_Oreal__normed__div__algebra(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_4832,i_0_6263,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413]) ).

cnf(i_0_7396,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7397,plain,
    class_Lattices_Oboolean__algebra(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_4832,i_0_6263,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414]) ).

cnf(i_0_7398,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7399,plain,
    class_Fields_Olinordered__field__inverse__zero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_4832,i_0_6263,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415]) ).

cnf(i_0_7400,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7401,plain,
    class_Rings_Osemiring__0(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_4832,i_0_6263,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417]) ).

cnf(i_0_7402,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7403,plain,
    class_Rings_Omult__zero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_4832,i_0_6263,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418]) ).

cnf(i_0_7404,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7405,plain,
    class_Rings_Ono__zero__divisors(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_4832,i_0_6263,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419]) ).

cnf(i_0_7406,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7407,plain,
    class_Rings_Ozero__neq__one(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_4832,i_0_6263,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420]) ).

cnf(i_0_7408,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7409,plain,
    class_Groups_Ocancel__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_4832,i_0_6263,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421]) ).

cnf(i_0_7410,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7411,plain,
    class_Groups_Ocancel__ab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_4832,i_0_6263,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422]) ).

cnf(i_0_7412,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7413,plain,
    class_Rings_Ocomm__ring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_4832,i_0_6263,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423]) ).

cnf(i_0_7414,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7415,plain,
    class_Groups_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_4832,i_0_6263,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424]) ).

cnf(i_0_7416,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7417,plain,
    class_Groups_Oabs__if(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_4832,i_0_6263,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425]) ).

cnf(i_0_7418,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7419,plain,
    class_Int_Onumber__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_4832,i_0_6263,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426]) ).

cnf(i_0_7420,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7421,plain,
    class_Rings_Oring__no__zero__divisors(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_4832,i_0_6263,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427]) ).

cnf(i_0_7422,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7423,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_4832,i_0_6263,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428]) ).

cnf(i_0_7424,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7425,plain,
    class_Groups_Ocomm__monoid__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_4832,i_0_6263,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429]) ).

cnf(i_0_7426,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7427,plain,
    class_Rings_Odivision__ring__inverse__zero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_4832,i_0_6263,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430]) ).

cnf(i_0_7428,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7429,plain,
    class_Groups_Ocomm__monoid__mult(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_4832,i_0_6263,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431]) ).

cnf(i_0_7430,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7431,plain,
    class_Groups_Omonoid__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_4832,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432]) ).

cnf(i_0_7432,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7433,plain,
    class_Groups_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_4832,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433]) ).

cnf(i_0_7434,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7435,plain,
    class_Groups_Ocancel__comm__monoid__add(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_4832,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434]) ).

cnf(i_0_7436,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7437,plain,
    class_Groups_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_4832,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435]) ).

cnf(i_0_7438,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7439,plain,
    class_Rings_Ocomm__semiring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436]) ).

cnf(i_0_7440,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7441,plain,
    class_Rings_Oring__1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437]) ).

cnf(i_0_7442,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7443,plain,
    class_Rings_Odivision__ring(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395]) ).

cnf(i_0_7444,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7445,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk22_2(X1,X2),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X3,X4))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357]) ).

cnf(i_0_7446,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314]) ).

cnf(i_0_7447,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7448,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650]) ).

cnf(i_0_7449,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_6339]) ).

cnf(i_0_7450,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3650]) ).

cnf(i_0_7451,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_5715,i_0_6720,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225]) ).

cnf(i_0_7452,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_7453,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_5810]) ).

cnf(i_0_7454,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_3225]) ).

cnf(i_0_7455,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_6136,i_0_5610,i_0_6927,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844]) ).

cnf(i_0_7456,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2),X2)),
    inference(rename_variables,[],[i_0_5008]) ).

cnf(i_0_7457,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),X3),X2)),
    inference(rename_variables,[],[i_0_5654]) ).

cnf(i_0_7458,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_5264]) ).

cnf(i_0_7459,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_2844]) ).

cnf(i_0_7460,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2))) != c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712]) ).

cnf(i_0_7461,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)) != X2,
    inference(rename_variables,[],[i_0_5678]) ).

cnf(i_0_7462,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3) != X1,
    inference(rename_variables,[],[i_0_5610]) ).

cnf(i_0_7463,plain,
    ( X1 = c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) != c_Groups_Oone__class_Oone(X2)
    | X1 = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3712]) ).

cnf(i_0_7464,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267]) ).

cnf(i_0_7465,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4756]) ).

cnf(i_0_7466,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3267]) ).

cnf(i_0_7467,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4)),X5),X6),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391]) ).

cnf(i_0_7468,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_7469,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3391]) ).

cnf(i_0_7470,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5838,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4648,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392]) ).

cnf(i_0_7471,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3392]) ).

cnf(i_0_7472,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5838,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394]) ).

cnf(i_0_7473,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_7474,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3394]) ).

cnf(i_0_7475,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X3,X4))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5838,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388]) ).

cnf(i_0_7476,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3388]) ).

cnf(i_0_7477,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5838,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852]) ).

cnf(i_0_7478,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2852]) ).

cnf(i_0_7479,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_5838,i_0_5596,i_0_6598,i_0_6600,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390]) ).

cnf(i_0_7480,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3390]) ).

cnf(i_0_7481,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616]) ).

cnf(i_0_7482,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7483,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_6595]) ).

cnf(i_0_7484,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) != X4
    | X3 = c_Groups_Otimes__class_Otimes(X2,X4,X1)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3616]) ).

cnf(i_0_7485,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393]) ).

cnf(i_0_7486,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_7487,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3393]) ).

cnf(i_0_7488,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),X5)),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X3)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856]) ).

cnf(i_0_7489,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7490,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X2,X4))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_2856]) ).

cnf(i_0_7491,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851]) ).

cnf(i_0_7492,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2851]) ).

cnf(i_0_7493,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),X2),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X2)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6339,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850]) ).

cnf(i_0_7494,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X3,X4),c_Power_Opower__class_Opower(X1,X2,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_2850]) ).

cnf(i_0_7495,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X3)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876]) ).

cnf(i_0_7496,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_6339]) ).

cnf(i_0_7497,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2876]) ).

cnf(i_0_7498,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877]) ).

cnf(i_0_7499,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_6339]) ).

cnf(i_0_7500,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2877]) ).

cnf(i_0_7501,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk17_0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk36_1(X1))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037]) ).

cnf(i_0_7502,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7503,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_7504,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,esk17_0)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(rename_variables,[],[i_0_3037]) ).

cnf(i_0_7505,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_s____,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk36_1(X1))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038]) ).

cnf(i_0_7506,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7507,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_7508,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,v_s____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(rename_variables,[],[i_0_3038]) ).

cnf(i_0_7509,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048]) ).

cnf(i_0_7510,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_6339]) ).

cnf(i_0_7511,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3048]) ).

cnf(i_0_7512,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058]) ).

cnf(i_0_7513,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_6339]) ).

cnf(i_0_7514,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3058]) ).

cnf(i_0_7515,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059]) ).

cnf(i_0_7516,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_6339]) ).

cnf(i_0_7517,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3059]) ).

cnf(i_0_7518,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1),X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139]) ).

cnf(i_0_7519,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_7520,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3139]) ).

cnf(i_0_7521,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),X3)),X3) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599]) ).

cnf(i_0_7522,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7523,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Otimes__class_Otimes(X2,X1,X4)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X4) = X1
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3599]) ).

cnf(i_0_7524,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),X3)),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4832,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600]) ).

cnf(i_0_7525,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7526,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X3) != X4
    | X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3600]) ).

cnf(i_0_7527,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613]) ).

cnf(i_0_7528,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_6598]) ).

cnf(i_0_7529,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X4
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Otimes__class_Otimes(X1,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3613]) ).

cnf(i_0_7530,plain,
    X1 = c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614]) ).

cnf(i_0_7531,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_4838]) ).

cnf(i_0_7532,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7533,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X3) != X4
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Rings_Oinverse__class_Odivide(X1,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3614]) ).

cnf(i_0_7534,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X2,X3))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X2,X3)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856]) ).

cnf(i_0_7535,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) = X1
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3856]) ).

cnf(i_0_7536,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857]) ).

cnf(i_0_7537,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3857]) ).

cnf(i_0_7538,plain,
    c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X2))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X2))) = c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865]) ).

cnf(i_0_7539,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7540,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7541,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) = c_Groups_Oone__class_Oone(X2)
    | X3 != X1
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3865]) ).

cnf(i_0_7542,plain,
    ~ c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901]) ).

cnf(i_0_7543,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_4666]) ).

cnf(i_0_7544,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2901]) ).

cnf(i_0_7545,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962]) ).

cnf(i_0_7546,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2962]) ).

cnf(i_0_7547,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963]) ).

cnf(i_0_7548,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2963]) ).

cnf(i_0_7549,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964]) ).

cnf(i_0_7550,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Rings_Oinverse__class_Odivide(X1,X4,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2964]) ).

cnf(i_0_7551,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981]) ).

cnf(i_0_7552,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7553,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2981]) ).

cnf(i_0_7554,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177]) ).

cnf(i_0_7555,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1) = X2,
    inference(rename_variables,[],[i_0_3601]) ).

cnf(i_0_7556,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_3604]) ).

cnf(i_0_7557,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_3177]) ).

cnf(i_0_7558,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),c_Int_OPls),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222]) ).

cnf(i_0_7559,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_7560,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3222]) ).

cnf(i_0_7561,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608]) ).

cnf(i_0_7562,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),
    inference(rename_variables,[],[i_0_6578]) ).

cnf(i_0_7563,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7564,plain,
    ( X1 != c_Rings_Oinverse__class_Odivide(X2,X3,X4)
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X4) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3608]) ).

cnf(i_0_7565,plain,
    c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),X3))) = X1,
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609]) ).

cnf(i_0_7566,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
    inference(rename_variables,[],[i_0_3945]) ).

cnf(i_0_7567,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7568,plain,
    ( X1 != c_Groups_Otimes__class_Otimes(X2,X3,X4)
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X1,X4) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3609]) ).

cnf(i_0_7569,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049]) ).

cnf(i_0_7570,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_6333]) ).

cnf(i_0_7571,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3049]) ).

cnf(i_0_7572,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X3,X4)),esk22_2(X3,X4))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084]) ).

cnf(i_0_7573,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_7574,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),X1) != c_Int_OPls,
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513]) ).

cnf(i_0_7575,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_7576,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oab__group__add(X1)
    | X4 = X5
    | X2 != X3 ),
    inference(rename_variables,[],[i_0_3513]) ).

cnf(i_0_7577,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902]) ).

cnf(i_0_7578,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),X3),
    inference(rename_variables,[],[i_0_6551]) ).

cnf(i_0_7579,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2902]) ).

cnf(i_0_7580,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954]) ).

cnf(i_0_7581,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Rings_Oinverse__class_Odivide(X1,X4,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2954]) ).

cnf(i_0_7582,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978]) ).

cnf(i_0_7583,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_3963]) ).

cnf(i_0_7584,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2978]) ).

cnf(i_0_7585,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080]) ).

cnf(i_0_7586,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3080]) ).

cnf(i_0_7587,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085]) ).

cnf(i_0_7588,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3085]) ).

cnf(i_0_7589,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104]) ).

cnf(i_0_7590,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7591,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3104]) ).

cnf(i_0_7592,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132]) ).

cnf(i_0_7593,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6105]) ).

cnf(i_0_7594,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7595,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Power_Opower__class_Opower(X2,X3,X1))
    | ~ class_Rings_Olinordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_3132]) ).

cnf(i_0_7596,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083]) ).

cnf(i_0_7597,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3083]) ).

cnf(i_0_7598,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),X3),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140]) ).

cnf(i_0_7599,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_7600,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3140]) ).

cnf(i_0_7601,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617]) ).

cnf(i_0_7602,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_7603,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) != X4
    | X3 = c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3617]) ).

cnf(i_0_7604,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950]) ).

cnf(i_0_7605,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2950]) ).

cnf(i_0_7606,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951]) ).

cnf(i_0_7607,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2951]) ).

cnf(i_0_7608,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086]) ).

cnf(i_0_7609,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3086]) ).

cnf(i_0_7610,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266]) ).

cnf(i_0_7611,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(rename_variables,[],[i_0_5087]) ).

cnf(i_0_7612,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3266]) ).

cnf(i_0_7613,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611]) ).

cnf(i_0_7614,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),
    inference(rename_variables,[],[i_0_6578]) ).

cnf(i_0_7615,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) = X4
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3611]) ).

cnf(i_0_7616,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = X1,
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612]) ).

cnf(i_0_7617,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7618,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Otimes__class_Otimes(X2,X4,X1)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) = X4
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3612]) ).

cnf(i_0_7619,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4195,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760]) ).

cnf(i_0_7620,plain,
    c_Rings_Oinverse__class_Odivide(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = X1,
    inference(rename_variables,[],[i_0_6464]) ).

cnf(i_0_7621,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(rename_variables,[],[i_0_4602]) ).

cnf(i_0_7622,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,X3) != c_Groups_Oone__class_Oone(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3760]) ).

cnf(i_0_7623,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4),X4),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4195,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989]) ).

cnf(i_0_7624,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),X3),
    inference(rename_variables,[],[i_0_6551]) ).

cnf(i_0_7625,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7626,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2989]) ).

cnf(i_0_7627,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4195,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017]) ).

cnf(i_0_7628,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_7629,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X3,X2))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3017]) ).

cnf(i_0_7630,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4195,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018]) ).

cnf(i_0_7631,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_7632,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3018]) ).

cnf(i_0_7633,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),X3),c_Int_OPls),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4195,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224]) ).

cnf(i_0_7634,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_7635,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3224]) ).

cnf(i_0_7636,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Power_Opower__class_Opower(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4195,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979]) ).

cnf(i_0_7637,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_7638,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2979]) ).

cnf(i_0_7639,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079]) ).

cnf(i_0_7640,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3079]) ).

cnf(i_0_7641,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094]) ).

cnf(i_0_7642,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3094]) ).

cnf(i_0_7643,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115]) ).

cnf(i_0_7644,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3115]) ).

cnf(i_0_7645,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932]) ).

cnf(i_0_7646,plain,
    X1 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(rename_variables,[],[i_0_5802]) ).

cnf(i_0_7647,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,X2) != c_Int_Onumber__class_Onumber__of(X1,X3)
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Int_Oring__char__0(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3932]) ).

cnf(i_0_7648,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1),X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141]) ).

cnf(i_0_7649,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_7650,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3141]) ).

cnf(i_0_7651,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952]) ).

cnf(i_0_7652,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2952]) ).

cnf(i_0_7653,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),X3),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),X3)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953]) ).

cnf(i_0_7654,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_7655,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2953]) ).

cnf(i_0_7656,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081]) ).

cnf(i_0_7657,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3081]) ).

cnf(i_0_7658,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082]) ).

cnf(i_0_7659,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3082]) ).

cnf(i_0_7660,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095]) ).

cnf(i_0_7661,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3095]) ).

cnf(i_0_7662,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114]) ).

cnf(i_0_7663,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3114]) ).

cnf(i_0_7664,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Power_Opower__class_Opower(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X3),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389]) ).

cnf(i_0_7665,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_7666,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3389]) ).

cnf(i_0_7667,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X4,X5)),X6))),X6),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137]) ).

cnf(i_0_7668,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)),X4),
    inference(rename_variables,[],[i_0_6345]) ).

cnf(i_0_7669,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3137]) ).

cnf(i_0_7670,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5))),X6),X2),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988]) ).

cnf(i_0_7671,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),X2),
    inference(rename_variables,[],[i_0_5812]) ).

cnf(i_0_7672,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2988]) ).

cnf(i_0_7673,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X5,X6))))),X4),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_6538,i_0_6733,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138]) ).

cnf(i_0_7674,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)),X4),
    inference(rename_variables,[],[i_0_6345]) ).

cnf(i_0_7675,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X4,X2))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3138]) ).

cnf(i_0_7676,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6),X7)),X6),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987]) ).

cnf(i_0_7677,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X5))),X4),
    inference(rename_variables,[],[i_0_6066]) ).

cnf(i_0_7678,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2987]) ).

cnf(i_0_7679,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088]) ).

cnf(i_0_7680,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3088]) ).

cnf(i_0_7681,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089]) ).

cnf(i_0_7682,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3089]) ).

cnf(i_0_7683,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096]) ).

cnf(i_0_7684,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3096]) ).

cnf(i_0_7685,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls))),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_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).

cnf(i_0_7686,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_3112]) ).

cnf(i_0_7687,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716]) ).

cnf(i_0_7688,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3716]) ).

cnf(i_0_7689,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X2,X3))),X4)),X4),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986]) ).

cnf(i_0_7690,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)),X4),
    inference(rename_variables,[],[i_0_6345]) ).

cnf(i_0_7691,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_7692,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2986]) ).

cnf(i_0_7693,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090]) ).

cnf(i_0_7694,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3090]) ).

cnf(i_0_7695,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091]) ).

cnf(i_0_7696,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3091]) ).

cnf(i_0_7697,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102]) ).

cnf(i_0_7698,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3102]) ).

cnf(i_0_7699,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477]) ).

cnf(i_0_7700,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),
    inference(rename_variables,[],[i_0_6319]) ).

cnf(i_0_7701,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3477]) ).

cnf(i_0_7702,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098]) ).

cnf(i_0_7703,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(rename_variables,[],[i_0_5087]) ).

cnf(i_0_7704,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_3098]) ).

cnf(i_0_7705,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725]) ).

cnf(i_0_7706,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_6333]) ).

cnf(i_0_7707,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Rings_Olinordered__idom(X1)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3725]) ).

cnf(i_0_7708,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092]) ).

cnf(i_0_7709,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3092]) ).

cnf(i_0_7710,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X2,X3)),esk22_2(X2,X3))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093]) ).

cnf(i_0_7711,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3093]) ).

cnf(i_0_7712,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116]) ).

cnf(i_0_7713,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3116]) ).

cnf(i_0_7714,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_3938,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100]) ).

cnf(i_0_7715,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3100]) ).

cnf(i_0_7716,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_3938,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103]) ).

cnf(i_0_7717,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3103]) ).

cnf(i_0_7718,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_3938,i_0_4277,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113]) ).

cnf(i_0_7719,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3113]) ).

cnf(i_0_7720,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099]) ).

cnf(i_0_7721,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3099]) ).

cnf(i_0_7722,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649]) ).

cnf(i_0_7723,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),X2),X1),
    inference(rename_variables,[],[i_0_5622]) ).

cnf(i_0_7724,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_5604]) ).

cnf(i_0_7725,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_7726,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535]) ).

cnf(i_0_7727,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_7728,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3535]) ).

cnf(i_0_7729,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647]) ).

cnf(i_0_7730,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),
    inference(rename_variables,[],[i_0_4641]) ).

cnf(i_0_7731,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3647]) ).

cnf(i_0_7732,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097]) ).

cnf(i_0_7733,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3097]) ).

cnf(i_0_7734,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724]) ).

cnf(i_0_7735,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_6339]) ).

cnf(i_0_7736,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3724]) ).

cnf(i_0_7737,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117]) ).

cnf(i_0_7738,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3117]) ).

cnf(i_0_7739,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105]) ).

cnf(i_0_7740,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3105]) ).

cnf(i_0_7741,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118]) ).

cnf(i_0_7742,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3118]) ).

cnf(i_0_7743,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108]) ).

cnf(i_0_7744,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3108]) ).

cnf(i_0_7745,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109]) ).

cnf(i_0_7746,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3109]) ).

cnf(i_0_7747,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110]) ).

cnf(i_0_7748,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3110]) ).

cnf(i_0_7749,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276]) ).

cnf(i_0_7750,plain,
    c_NthRoot_Osqrt(esk22_2(X1,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_4580]) ).

cnf(i_0_7751,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(rename_variables,[],[i_0_5888]) ).

cnf(i_0_7752,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) != c_Rings_Oinverse__class_Odivide(X2,X5,X1)
    | c_Groups_Otimes__class_Otimes(X2,X4,X1) = c_Groups_Otimes__class_Otimes(X2,X5,X3)
    | ~ class_Fields_Ofield(X2) ),
    inference(rename_variables,[],[i_0_3276]) ).

cnf(i_0_7753,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277]) ).

cnf(i_0_7754,plain,
    c_NthRoot_Osqrt(esk22_2(X1,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_4580]) ).

cnf(i_0_7755,plain,
    X1 = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(rename_variables,[],[i_0_5886]) ).

cnf(i_0_7756,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X4,X1) != c_Groups_Otimes__class_Otimes(X2,X5,X3)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) = c_Rings_Oinverse__class_Odivide(X2,X5,X1)
    | ~ class_Fields_Ofield(X2) ),
    inference(rename_variables,[],[i_0_3277]) ).

cnf(i_0_7757,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X3,X4))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838]) ).

cnf(i_0_7758,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_7759,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X5,X3))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2838]) ).

cnf(i_0_7760,plain,
    c_Power_Opower__class_Opower(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709]) ).

cnf(i_0_7761,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_5687]) ).

cnf(i_0_7762,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(rename_variables,[],[i_0_3709]) ).

cnf(i_0_7763,plain,
    c_Power_Opower__class_Opower(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))) = c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505]) ).

cnf(i_0_7764,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7765,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2)
    | c_Power_Opower__class_Opower(X2,c_Groups_Ozero__class_Ozero(X2),X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2) ),
    inference(rename_variables,[],[i_0_4505]) ).

cnf(i_0_7766,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837]) ).

cnf(i_0_7767,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_7768,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),c_Groups_Otimes__class_Otimes(X1,X2,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2837]) ).

cnf(i_0_7769,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300]) ).

cnf(i_0_7770,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_6595]) ).

cnf(i_0_7771,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_3300]) ).

cnf(i_0_7772,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4111,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836]) ).

cnf(i_0_7773,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_7774,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(rename_variables,[],[i_0_5062]) ).

cnf(i_0_7775,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X4,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2836]) ).

cnf(i_0_7776,plain,
    c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777]) ).

cnf(i_0_7777,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_7778,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Ozero__class_Ozero(X3)
    | c_Power_Opower__class_Opower(X3,X2,X1) = c_Groups_Ozero__class_Ozero(X3)
    | ~ class_Power_Opower(X3)
    | ~ class_Rings_Omult__zero(X3)
    | ~ class_Rings_Ono__zero__divisors(X3)
    | ~ class_Rings_Ozero__neq__one(X3) ),
    inference(rename_variables,[],[i_0_3777]) ).

cnf(i_0_7779,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808]) ).

cnf(i_0_7780,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3808]) ).

cnf(i_0_7781,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),c_Groups_Oone__class_Oone(tc_Int_Oint)),X3),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153]) ).

cnf(i_0_7782,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3) ),
    inference(rename_variables,[],[i_0_3153]) ).

cnf(i_0_7783,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211]) ).

cnf(i_0_7784,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3211]) ).

cnf(i_0_7785,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159]) ).

cnf(i_0_7786,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3) ),
    inference(rename_variables,[],[i_0_3159]) ).

cnf(i_0_7787,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450]) ).

cnf(i_0_7788,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3450]) ).

cnf(i_0_7789,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149]) ).

cnf(i_0_7790,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3149]) ).

cnf(i_0_7791,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029]) ).

cnf(i_0_7792,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2) ),
    inference(rename_variables,[],[i_0_3029]) ).

cnf(i_0_7793,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320]) ).

cnf(i_0_7794,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1))
    | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3320]) ).

cnf(i_0_7795,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260]) ).

cnf(i_0_7796,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3260]) ).

cnf(i_0_7797,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359]) ).

cnf(i_0_7798,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3359]) ).

cnf(i_0_7799,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209]) ).

cnf(i_0_7800,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(rename_variables,[],[i_0_3209]) ).

cnf(i_0_7801,plain,
    ( X1 = c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2))) ),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244]) ).

cnf(i_0_7802,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3244]) ).

cnf(i_0_7803,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679]) ).

cnf(i_0_7804,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3679]) ).

cnf(i_0_7805,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X1),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408]) ).

cnf(i_0_7806,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3408]) ).

cnf(i_0_7807,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X3)),X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4202,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408,i_0_3541]) ).

cnf(i_0_7808,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X2,X4)
    | X3 = X4
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_3541]) ).

cnf(i_0_7809,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4202,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408,i_0_3541,i_0_3982]) ).

cnf(i_0_7810,plain,
    ( c_Groups_Ozero__class_Ozero(X1) != c_Groups_Ouminus__class_Ouminus(X1,X2)
    | c_Groups_Ozero__class_Ozero(X1) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3982]) ).

cnf(i_0_7811,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4202,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408,i_0_3541,i_0_3982,i_0_2693]) ).

cnf(i_0_7812,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2693]) ).

cnf(i_0_7813,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X3)),X2),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4202,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408,i_0_3541,i_0_3982,i_0_2693,i_0_3714]) ).

cnf(i_0_7814,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3714]) ).

cnf(i_0_7815,plain,
    ( ~ class_Lattices_Oboolean__algebra(tc_RealDef_Oreal)
    | esk22_2(X1,X2) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))) ),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_5942,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4202,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408,i_0_3541,i_0_3982,i_0_2693,i_0_3714,i_0_3960]) ).

cnf(i_0_7816,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Lattices_Oboolean__algebra(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3960]) ).

cnf(i_0_7817,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_5942,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4202,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_3311,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408,i_0_3541,i_0_3982,i_0_2693,i_0_3714,i_0_3960,i_0_2815]) ).

cnf(i_0_7818,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3311]) ).

cnf(i_0_7819,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_2815]) ).

cnf(i_0_7820,plain,
    ( ~ class_Lattices_Oboolean__algebra(tc_Int_Oint)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))) ),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_5942,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4202,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_3311,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408,i_0_3541,i_0_3982,i_0_2693,i_0_3714,i_0_3960,i_0_2815,i_0_3407]) ).

cnf(i_0_7821,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Lattices_Oboolean__algebra(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3407]) ).

cnf(i_0_7822,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3),X1)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3),X1)) ),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_5942,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4202,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_3311,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408,i_0_3541,i_0_3982,i_0_2693,i_0_3714,i_0_3960,i_0_2815,i_0_3407,i_0_3755]) ).

cnf(i_0_7823,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_3755]) ).

cnf(i_0_7824,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
    inference(scs_inference,[],[i_0_5587,i_0_5589,i_0_4565,i_0_2698,i_0_3275,i_0_2716,i_0_2776,i_0_5236,i_0_5244,i_0_4785,i_0_4761,i_0_7046,i_0_7115,i_0_7177,i_0_7195,i_0_7202,i_0_7256,i_0_7489,i_0_7552,i_0_7590,i_0_7594,i_0_7625,i_0_7637,i_0_5214,i_0_5216,i_0_5220,i_0_4774,i_0_4518,i_0_7503,i_0_7507,i_0_7519,i_0_7599,i_0_7628,i_0_7631,i_0_5240,i_0_4796,i_0_5229,i_0_5261,i_0_4808,i_0_4794,i_0_5181,i_0_5207,i_0_5205,i_0_4804,i_0_5836,i_0_6682,i_0_6558,i_0_6770,i_0_6952,i_0_7018,i_0_7028,i_0_7031,i_0_7043,i_0_7067,i_0_7082,i_0_7085,i_0_7103,i_0_7122,i_0_7199,i_0_7281,i_0_7447,i_0_7482,i_0_7532,i_0_7539,i_0_7563,i_0_7567,i_0_7764,i_0_5842,i_0_5838,i_0_6053,i_0_5596,i_0_5652,i_0_6598,i_0_7528,i_0_6600,i_0_6595,i_0_7483,i_0_6578,i_0_7562,i_0_5812,i_0_6795,i_0_6815,i_0_6821,i_0_6832,i_0_6835,i_0_6900,i_0_7140,i_0_7468,i_0_7665,i_0_6115,i_0_6288,i_0_6300,i_0_6775,i_0_6778,i_0_6883,i_0_6590,i_0_6551,i_0_6764,i_0_6792,i_0_6824,i_0_6872,i_0_7194,i_0_7578,i_0_7624,i_0_5821,i_0_6345,i_0_6812,i_0_7058,i_0_7668,i_0_7674,i_0_6538,i_0_6733,i_0_6066,i_0_6105,i_0_6844,i_0_6903,i_0_6909,i_0_7049,i_0_7102,i_0_7137,i_0_7141,i_0_7291,i_0_7473,i_0_7486,i_0_7593,i_0_6293,i_0_6303,i_0_6723,i_0_6726,i_0_6891,i_0_6478,i_0_6541,i_0_5810,i_0_6070,i_0_6117,i_0_6319,i_0_6322,i_0_6333,i_0_7570,i_0_7706,i_0_6339,i_0_7449,i_0_7496,i_0_7499,i_0_7510,i_0_7513,i_0_7516,i_0_6610,i_0_6532,i_0_5650,i_0_4580,i_0_7750,i_0_4756,i_0_5274,i_0_7186,i_0_4759,i_0_5264,i_0_4835,i_0_6959,i_0_6999,i_0_7015,i_0_7136,i_0_7310,i_0_7312,i_0_7314,i_0_7316,i_0_7318,i_0_7320,i_0_7322,i_0_7324,i_0_7326,i_0_7328,i_0_7330,i_0_7332,i_0_7334,i_0_7336,i_0_7338,i_0_7340,i_0_7342,i_0_7344,i_0_7346,i_0_7348,i_0_7350,i_0_7352,i_0_7354,i_0_7356,i_0_7358,i_0_7360,i_0_7362,i_0_7364,i_0_7366,i_0_7368,i_0_7370,i_0_7372,i_0_7374,i_0_7376,i_0_7378,i_0_7380,i_0_7382,i_0_7384,i_0_7386,i_0_7388,i_0_7390,i_0_7392,i_0_7394,i_0_7396,i_0_7398,i_0_7400,i_0_7402,i_0_7404,i_0_7406,i_0_7408,i_0_7410,i_0_7412,i_0_7414,i_0_7416,i_0_7418,i_0_7420,i_0_7422,i_0_7424,i_0_7426,i_0_7428,i_0_7430,i_0_7432,i_0_7434,i_0_7436,i_0_7438,i_0_7440,i_0_7442,i_0_7444,i_0_7525,i_0_4838,i_0_4832,i_0_4827,i_0_6269,i_0_6267,i_0_6265,i_0_6263,i_0_6261,i_0_6259,i_0_6255,i_0_6253,i_0_6241,i_0_6239,i_0_6237,i_0_6235,i_0_6233,i_0_6231,i_0_6217,i_0_6215,i_0_6211,i_0_6209,i_0_6207,i_0_6203,i_0_6271,i_0_6201,i_0_6251,i_0_6197,i_0_6249,i_0_6195,i_0_6247,i_0_6193,i_0_6243,i_0_6191,i_0_6221,i_0_6185,i_0_6213,i_0_6183,i_0_6187,i_0_6257,i_0_6177,i_0_6181,i_0_6225,i_0_6166,i_0_6179,i_0_6199,i_0_6245,i_0_6156,i_0_6175,i_0_6189,i_0_6227,i_0_6154,i_0_6168,i_0_6172,i_0_6223,i_0_6152,i_0_6164,i_0_6162,i_0_6219,i_0_5871,i_0_6148,i_0_6158,i_0_6150,i_0_6205,i_0_6229,i_0_5707,i_0_5687,i_0_6767,i_0_6829,i_0_6864,i_0_6869,i_0_6906,i_0_6946,i_0_7008,i_0_7021,i_0_7072,i_0_7077,i_0_7108,i_0_7207,i_0_7298,i_0_7300,i_0_7302,i_0_7304,i_0_7306,i_0_7308,i_0_7522,i_0_7540,i_0_7617,i_0_5886,i_0_5888,i_0_5678,i_0_6136,i_0_5610,i_0_6927,i_0_7239,i_0_5612,i_0_5782,i_0_4609,i_0_7040,i_0_5681,i_0_5873,i_0_6859,i_0_5869,i_0_5620,i_0_6140,i_0_6144,i_0_6146,i_0_6142,i_0_6160,i_0_6170,i_0_6632,i_0_5604,i_0_6980,i_0_7208,i_0_7260,i_0_5860,i_0_4945,i_0_4602,i_0_4847,i_0_6983,i_0_6986,i_0_7502,i_0_4596,i_0_6748,i_0_3810,i_0_4955,i_0_4964,i_0_4954,i_0_4978,i_0_4938,i_0_3071,i_0_3963,i_0_3962,i_0_7034,i_0_4245,i_0_4243,i_0_4648,i_0_5528,i_0_3943,i_0_4247,i_0_4249,i_0_4751,i_0_4666,i_0_6707,i_0_7148,i_0_7543,i_0_5426,i_0_3944,i_0_3945,i_0_3965,i_0_5388,i_0_5019,i_0_5518,i_0_5041,i_0_5087,i_0_6912,i_0_7061,i_0_7064,i_0_7151,i_0_7611,i_0_5099,i_0_5062,i_0_6753,i_0_6818,i_0_7213,i_0_7654,i_0_7691,i_0_7727,i_0_7758,i_0_7767,i_0_3601,i_0_3938,i_0_4277,i_0_3862,i_0_4267,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_6273,i_0_6464,i_0_6416,i_0_5053,i_0_5802,i_0_6000,i_0_5472,i_0_5942,i_0_6655,i_0_6675,i_0_6062,i_0_5703,i_0_5976,i_0_5012,i_0_6787,i_0_6847,i_0_6850,i_0_6853,i_0_6915,i_0_4654,i_0_5008,i_0_7191,i_0_7284,i_0_5715,i_0_6720,i_0_5654,i_0_5808,i_0_6964,i_0_6087,i_0_5773,i_0_5736,i_0_6076,i_0_6581,i_0_5622,i_0_5759,i_0_5712,i_0_6566,i_0_6587,i_0_6665,i_0_5922,i_0_6943,i_0_5625,i_0_5349,i_0_5045,i_0_6055,i_0_5385,i_0_5634,i_0_5805,i_0_6502,i_0_4192,i_0_4198,i_0_4238,i_0_3833,i_0_2684,i_0_2659,i_0_4641,i_0_5351,i_0_3604,i_0_7264,i_0_4103,i_0_4129,i_0_4202,i_0_4252,i_0_3967,i_0_7452,i_0_7559,i_0_7575,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_3311,i_0_4111,i_0_4156,i_0_4178,i_0_4194,i_0_4195,i_0_4290,i_0_5161,i_0_4107,i_0_4190,i_0_4193,i_0_4298,i_0_4106,i_0_4108,i_0_4122,i_0_4304,i_0_4130,i_0_4253,i_0_4280,i_0_4283,i_0_4214,i_0_4215,i_0_4117,i_0_4196,i_0_4213,i_0_4131,i_0_4255,i_0_4284,i_0_4181,i_0_4294,i_0_4305,i_0_4285,i_0_4275,i_0_4303,i_0_4308,i_0_3861,i_0_3156,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3342,i_0_2935,i_0_3147,i_0_3340,i_0_4562,i_0_4564,i_0_3294,i_0_3746,i_0_3829,i_0_3895,i_0_3828,i_0_4440,i_0_4470,i_0_3028,i_0_3493,i_0_3630,i_0_3636,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_3816,i_0_4087,i_0_3366,i_0_3368,i_0_3212,i_0_3694,i_0_3775,i_0_3030,i_0_3210,i_0_3350,i_0_3372,i_0_3637,i_0_3762,i_0_3763,i_0_3927,i_0_3638,i_0_3778,i_0_3951,i_0_3293,i_0_3425,i_0_3563,i_0_3574,i_0_3588,i_0_3674,i_0_3809,i_0_3347,i_0_3370,i_0_3632,i_0_3691,i_0_3827,i_0_3031,i_0_3162,i_0_3271,i_0_3272,i_0_3364,i_0_3686,i_0_3825,i_0_3936,i_0_3163,i_0_3258,i_0_3351,i_0_3253,i_0_3255,i_0_3797,i_0_3148,i_0_3256,i_0_3639,i_0_3424,i_0_3761,i_0_3935,i_0_3950,i_0_3587,i_0_3273,i_0_3660,i_0_2937,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4331,i_0_4330,i_0_3215,i_0_2930,i_0_3214,i_0_3566,i_0_3961,i_0_3476,i_0_3474,i_0_3447,i_0_3126,i_0_3916,i_0_3127,i_0_3446,i_0_2873,i_0_3013,i_0_3130,i_0_2872,i_0_3125,i_0_3131,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_3999,i_0_4006,i_0_4492,i_0_4493,i_0_2726,i_0_2782,i_0_2783,i_0_2784,i_0_2842,i_0_3180,i_0_3292,i_0_3305,i_0_3420,i_0_3429,i_0_3431,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3438,i_0_3546,i_0_3558,i_0_3867,i_0_3868,i_0_3998,i_0_3166,i_0_3319,i_0_3414,i_0_3418,i_0_3432,i_0_3436,i_0_3505,i_0_4488,i_0_3741,i_0_3923,i_0_3997,i_0_4004,i_0_4005,i_0_3176,i_0_3193,i_0_3306,i_0_3307,i_0_3419,i_0_3510,i_0_3515,i_0_3517,i_0_3570,i_0_3516,i_0_3518,i_0_3550,i_0_3739,i_0_3740,i_0_3869,i_0_3888,i_0_3302,i_0_3434,i_0_3507,i_0_3553,i_0_3736,i_0_2925,i_0_2926,i_0_3016,i_0_3754,i_0_2843,i_0_3554,i_0_3264,i_0_3475,i_0_3571,i_0_3657,i_0_3012,i_0_3409,i_0_3984,i_0_3659,i_0_3473,i_0_3495,i_0_3506,i_0_3681,i_0_3075,i_0_3415,i_0_2928,i_0_3161,i_0_3731,i_0_3511,i_0_3243,i_0_3678,i_0_3303,i_0_3508,i_0_3813,i_0_2934,i_0_3128,i_0_3304,i_0_3780,i_0_3569,i_0_3124,i_0_3309,i_0_2932,i_0_3129,i_0_3308,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3650,i_0_3225,i_0_2844,i_0_3712,i_0_3267,i_0_3391,i_0_3392,i_0_3394,i_0_3388,i_0_2852,i_0_3390,i_0_3616,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_2876,i_0_2877,i_0_3037,i_0_3038,i_0_3048,i_0_3058,i_0_3059,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2962,i_0_2963,i_0_2964,i_0_2981,i_0_3177,i_0_3222,i_0_3608,i_0_3609,i_0_3049,i_0_3084,i_0_3513,i_0_2902,i_0_2954,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_3083,i_0_3140,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3266,i_0_3611,i_0_3612,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_3224,i_0_2979,i_0_3079,i_0_3094,i_0_3115,i_0_3932,i_0_3141,i_0_2952,i_0_2953,i_0_3081,i_0_3082,i_0_3095,i_0_3114,i_0_3389,i_0_3137,i_0_2988,i_0_3138,i_0_2987,i_0_3088,i_0_3089,i_0_3096,i_0_3112,i_0_3716,i_0_2986,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3098,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3100,i_0_3103,i_0_3113,i_0_3099,i_0_3649,i_0_3535,i_0_3647,i_0_3097,i_0_3724,i_0_3117,i_0_3105,i_0_3118,i_0_3108,i_0_3109,i_0_3110,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_3300,i_0_2836,i_0_3777,i_0_3808,i_0_3153,i_0_3211,i_0_3159,i_0_3450,i_0_3149,i_0_3029,i_0_3320,i_0_3260,i_0_3359,i_0_3209,i_0_3244,i_0_3679,i_0_3408,i_0_3541,i_0_3982,i_0_2693,i_0_3714,i_0_3960,i_0_2815,i_0_3407,i_0_3755,i_0_3263]) ).

cnf(i_0_7825,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(rename_variables,[],[i_0_4609]) ).

cnf(i_0_7826,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3263]) ).

cnf(i_0_7827,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X2,X3)),
    inference(scs_inference,[],[i_0_6809,i_0_3861]) ).

cnf(i_0_7828,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4)) != X4,
    inference(rename_variables,[],[i_0_6809]) ).

cnf(i_0_7829,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3861]) ).

cnf(i_0_7830,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),X3),
    inference(scs_inference,[],[i_0_6809,i_0_5693,i_0_3861,i_0_3156]) ).

cnf(i_0_7831,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4)),X3),
    inference(rename_variables,[],[i_0_5693]) ).

cnf(i_0_7832,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3156]) ).

cnf(i_0_7833,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)),
    inference(scs_inference,[],[i_0_6899,i_0_6809,i_0_5693,i_0_3861,i_0_3156,i_0_3450]) ).

cnf(i_0_7834,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4) != X2,
    inference(rename_variables,[],[i_0_6899]) ).

cnf(i_0_7835,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3450]) ).

cnf(i_0_7836,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5)),X6),X3),
    inference(scs_inference,[],[i_0_7467,i_0_6899,i_0_6809,i_0_5693,i_0_3861,i_0_3156,i_0_3450,i_0_3155]) ).

cnf(i_0_7837,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4)),X5),X6),X3),
    inference(rename_variables,[],[i_0_7467]) ).

cnf(i_0_7838,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3155]) ).

cnf(i_0_7839,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4,c_Groups_Oone__class_Oone(tc_Int_Oint))),X4),
    inference(scs_inference,[],[i_0_7467,i_0_6899,i_0_6809,i_0_5693,i_0_7193,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345]) ).

cnf(i_0_7840,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4),X4),
    inference(rename_variables,[],[i_0_7193]) ).

cnf(i_0_7841,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3345]) ).

cnf(i_0_7842,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X4,X5),X6))),X6),
    inference(scs_inference,[],[i_0_7467,i_0_6899,i_0_6809,i_0_5693,i_0_7667,i_0_7193,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154]) ).

cnf(i_0_7843,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X4,X5)),X6))),X6),
    inference(rename_variables,[],[i_0_7667]) ).

cnf(i_0_7844,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
    inference(rename_variables,[],[i_0_3154]) ).

cnf(i_0_7845,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_7467,i_0_6899,i_0_6809,i_0_5693,i_0_7667,i_0_6868,i_0_7193,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946]) ).

cnf(i_0_7846,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_6868]) ).

cnf(i_0_7847,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2946]) ).

cnf(i_0_7848,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)),
    inference(scs_inference,[],[i_0_7467,i_0_6899,i_0_6809,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261]) ).

cnf(i_0_7849,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X2)),
    inference(rename_variables,[],[i_0_6914]) ).

cnf(i_0_7850,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3261]) ).

cnf(i_0_7851,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_7467,i_0_6899,i_0_6809,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029]) ).

cnf(i_0_7852,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2) ),
    inference(rename_variables,[],[i_0_3029]) ).

cnf(i_0_7853,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_7467,i_0_7739,i_0_6899,i_0_6809,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320]) ).

cnf(i_0_7854,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1))
    | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3320]) ).

cnf(i_0_7855,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_7467,i_0_7739,i_0_6899,i_0_6809,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342]) ).

cnf(i_0_7856,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4),X4),
    inference(rename_variables,[],[i_0_7193]) ).

cnf(i_0_7857,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3342]) ).

cnf(i_0_7858,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4),X1),
    inference(scs_inference,[],[i_0_7467,i_0_7739,i_0_6899,i_0_6897,i_0_6809,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358]) ).

cnf(i_0_7859,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)) != X2,
    inference(rename_variables,[],[i_0_6897]) ).

cnf(i_0_7860,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2) = X1
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3358]) ).

cnf(i_0_7861,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X2),
    inference(scs_inference,[],[i_0_7467,i_0_7739,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359]) ).

cnf(i_0_7862,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4) != X2,
    inference(rename_variables,[],[i_0_6899]) ).

cnf(i_0_7863,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3359]) ).

cnf(i_0_7864,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_7467,i_0_7739,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935]) ).

cnf(i_0_7865,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3),X3)),
    inference(rename_variables,[],[i_0_5718]) ).

cnf(i_0_7866,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_2935]) ).

cnf(i_0_7867,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6))),X2),
    inference(scs_inference,[],[i_0_7467,i_0_7670,i_0_7739,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147]) ).

cnf(i_0_7868,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5))),X6),X2),
    inference(rename_variables,[],[i_0_7670]) ).

cnf(i_0_7869,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3147]) ).

cnf(i_0_7870,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),
    inference(scs_inference,[],[i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340]) ).

cnf(i_0_7871,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6),X3),
    inference(rename_variables,[],[i_0_7485]) ).

cnf(i_0_7872,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3340]) ).

cnf(i_0_7873,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294]) ).

cnf(i_0_7874,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1),X1),
    inference(rename_variables,[],[i_0_7648]) ).

cnf(i_0_7875,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3294]) ).

cnf(i_0_7876,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_5227,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746]) ).

cnf(i_0_7877,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3746]) ).

cnf(i_0_7878,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),v_z____)) != c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829]) ).

cnf(i_0_7879,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3829]) ).

cnf(i_0_7880,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828]) ).

cnf(i_0_7881,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3828]) ).

cnf(i_0_7882,plain,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440]) ).

cnf(i_0_7883,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = X1 ),
    inference(rename_variables,[],[i_0_4440]) ).

cnf(i_0_7884,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_5274,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470]) ).

cnf(i_0_7885,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1) ),
    inference(rename_variables,[],[i_0_4470]) ).

cnf(i_0_7886,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_5274,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493]) ).

cnf(i_0_7887,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2),X1) ),
    inference(rename_variables,[],[i_0_3493]) ).

cnf(i_0_7888,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_5274,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630]) ).

cnf(i_0_7889,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X2,X3),X1)),
    inference(rename_variables,[],[i_0_5705]) ).

cnf(i_0_7890,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3630]) ).

cnf(i_0_7891,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_5242,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_5274,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662]) ).

cnf(i_0_7892,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1) ),
    inference(rename_variables,[],[i_0_3662]) ).

cnf(i_0_7893,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_5242,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_5274,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692]) ).

cnf(i_0_7894,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3692]) ).

cnf(i_0_7895,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_7485,i_0_7739,i_0_5274,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744]) ).

cnf(i_0_7896,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1) ),
    inference(rename_variables,[],[i_0_3744]) ).

cnf(i_0_7897,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893]) ).

cnf(i_0_7898,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),X2),
    inference(rename_variables,[],[i_0_6470]) ).

cnf(i_0_7899,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = X1 ),
    inference(rename_variables,[],[i_0_3893]) ).

cnf(i_0_7900,plain,
    c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6730,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086]) ).

cnf(i_0_7901,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_6863]) ).

cnf(i_0_7902,plain,
    ( X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_4086]) ).

cnf(i_0_7903,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk2_0)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562]) ).

cnf(i_0_7904,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(X1)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(rename_variables,[],[i_0_4562]) ).

cnf(i_0_7905,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk2_0),v_z____)),esk2_0),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_7648,i_0_7467,i_0_7670,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564]) ).

cnf(i_0_7906,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(X1),v_z____)),X1) ),
    inference(rename_variables,[],[i_0_4564]) ).

cnf(i_0_7907,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7648,i_0_7467,i_0_7670,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895]) ).

cnf(i_0_7908,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = X1 ),
    inference(rename_variables,[],[i_0_3895]) ).

cnf(i_0_7909,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),X3),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7648,i_0_7467,i_0_7670,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028]) ).

cnf(i_0_7910,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),
    inference(rename_variables,[],[i_0_6826]) ).

cnf(i_0_7911,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2) ),
    inference(rename_variables,[],[i_0_3028]) ).

cnf(i_0_7912,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6))),X7),X2),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7648,i_0_7467,i_0_7670,i_0_7868,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366]) ).

cnf(i_0_7913,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5))),X6),X2),
    inference(rename_variables,[],[i_0_7670]) ).

cnf(i_0_7914,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3366]) ).

cnf(i_0_7915,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6))),X7),X3),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7648,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368]) ).

cnf(i_0_7916,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5))),X6),X2),
    inference(rename_variables,[],[i_0_7670]) ).

cnf(i_0_7917,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3368]) ).

cnf(i_0_7918,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7648,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636]) ).

cnf(i_0_7919,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3636]) ).

cnf(i_0_7920,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),v_z____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7648,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694]) ).

cnf(i_0_7921,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(rename_variables,[],[i_0_3694]) ).

cnf(i_0_7922,plain,
    c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7734,i_0_7648,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087]) ).

cnf(i_0_7923,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_4087]) ).

cnf(i_0_7924,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7734,i_0_7648,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350]) ).

cnf(i_0_7925,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),X2),
    inference(rename_variables,[],[i_0_6470]) ).

cnf(i_0_7926,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3350]) ).

cnf(i_0_7927,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X6),X3),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7734,i_0_7648,i_0_7293,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372]) ).

cnf(i_0_7928,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(rename_variables,[],[i_0_7293]) ).

cnf(i_0_7929,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3372]) ).

cnf(i_0_7930,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7734,i_0_7648,i_0_7293,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816]) ).

cnf(i_0_7931,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != X2 ),
    inference(rename_variables,[],[i_0_3816]) ).

cnf(i_0_7932,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X4)),X3)),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7734,i_0_7648,i_0_7293,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030]) ).

cnf(i_0_7933,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))),
    inference(rename_variables,[],[i_0_6080]) ).

cnf(i_0_7934,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)) ),
    inference(rename_variables,[],[i_0_3030]) ).

cnf(i_0_7935,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6534,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293]) ).

cnf(i_0_7936,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1),X1),
    inference(rename_variables,[],[i_0_7518]) ).

cnf(i_0_7937,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3293]) ).

cnf(i_0_7938,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212]) ).

cnf(i_0_7939,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) ),
    inference(rename_variables,[],[i_0_3212]) ).

cnf(i_0_7940,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574]) ).

cnf(i_0_7941,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(rename_variables,[],[i_0_7293]) ).

cnf(i_0_7942,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3574]) ).

cnf(i_0_7943,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674]) ).

cnf(i_0_7944,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X1,
    inference(rename_variables,[],[i_0_7107]) ).

cnf(i_0_7945,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3674]) ).

cnf(i_0_7946,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347]) ).

cnf(i_0_7947,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(rename_variables,[],[i_0_7293]) ).

cnf(i_0_7948,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3347]) ).

cnf(i_0_7949,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X6),X2),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370]) ).

cnf(i_0_7950,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(rename_variables,[],[i_0_7293]) ).

cnf(i_0_7951,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3370]) ).

cnf(i_0_7952,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637]) ).

cnf(i_0_7953,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3637]) ).

cnf(i_0_7954,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7290,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691]) ).

cnf(i_0_7955,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3691]) ).

cnf(i_0_7956,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X3),X4)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7290,i_0_7739,i_0_5274,i_0_3800,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762]) ).

cnf(i_0_7957,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1) ),
    inference(rename_variables,[],[i_0_3762]) ).

cnf(i_0_7958,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),X1,X1),
    inference(scs_inference,[],[i_0_6730,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7290,i_0_7739,i_0_5274,i_0_3800,i_0_7393,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927]) ).

cnf(i_0_7959,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
    inference(rename_variables,[],[i_0_3927]) ).

cnf(i_0_7960,plain,
    c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7290,i_0_7739,i_0_5274,i_0_3800,i_0_7393,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778]) ).

cnf(i_0_7961,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_NthRoot_Osqrt(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3778]) ).

cnf(i_0_7962,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7290,i_0_7739,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809]) ).

cnf(i_0_7963,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3809]) ).

cnf(i_0_7964,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7290,i_0_7739,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763]) ).

cnf(i_0_7965,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(rename_variables,[],[i_0_3763]) ).

cnf(i_0_7966,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_NthRoot_Osqrt(esk20_0)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638]) ).

cnf(i_0_7967,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3638]) ).

cnf(i_0_7968,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))) != X2,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588]) ).

cnf(i_0_7969,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),X2),
    inference(rename_variables,[],[i_0_6470]) ).

cnf(i_0_7970,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3588]) ).

cnf(i_0_7971,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X2,X3),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563]) ).

cnf(i_0_7972,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X2,X3),X1)),
    inference(rename_variables,[],[i_0_5705]) ).

cnf(i_0_7973,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(rename_variables,[],[i_0_3563]) ).

cnf(i_0_7974,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632]) ).

cnf(i_0_7975,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3632]) ).

cnf(i_0_7976,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775]) ).

cnf(i_0_7977,plain,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
    inference(rename_variables,[],[i_0_3775]) ).

cnf(i_0_7978,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1) != X1,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951]) ).

cnf(i_0_7979,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3951]) ).

cnf(i_0_7980,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210]) ).

cnf(i_0_7981,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(rename_variables,[],[i_0_3210]) ).

cnf(i_0_7982,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351]) ).

cnf(i_0_7983,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),X2),
    inference(rename_variables,[],[i_0_6470]) ).

cnf(i_0_7984,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3351]) ).

cnf(i_0_7985,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425]) ).

cnf(i_0_7986,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(rename_variables,[],[i_0_7293]) ).

cnf(i_0_7987,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3425]) ).

cnf(i_0_7988,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825]) ).

cnf(i_0_7989,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_7990,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6)),X7),X6),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148]) ).

cnf(i_0_7991,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6),X7)),X6),
    inference(rename_variables,[],[i_0_7676]) ).

cnf(i_0_7992,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3148]) ).

cnf(i_0_7993,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X3),X2),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162]) ).

cnf(i_0_7994,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3),X3)),
    inference(rename_variables,[],[i_0_5718]) ).

cnf(i_0_7995,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3162]) ).

cnf(i_0_7996,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),X1)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686]) ).

cnf(i_0_7997,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3686]) ).

cnf(i_0_7998,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X4)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031]) ).

cnf(i_0_7999,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_7290]) ).

cnf(i_0_8000,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) ),
    inference(rename_variables,[],[i_0_3031]) ).

cnf(i_0_8001,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X4))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271]) ).

cnf(i_0_8002,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))),
    inference(rename_variables,[],[i_0_6080]) ).

cnf(i_0_8003,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3271]) ).

cnf(i_0_8004,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),X4))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272]) ).

cnf(i_0_8005,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))),
    inference(rename_variables,[],[i_0_6080]) ).

cnf(i_0_8006,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3272]) ).

cnf(i_0_8007,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1) = X1,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936]) ).

cnf(i_0_8008,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = X2 ),
    inference(rename_variables,[],[i_0_3936]) ).

cnf(i_0_8009,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5))),X6) != X2,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950]) ).

cnf(i_0_8010,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3950]) ).

cnf(i_0_8011,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258]) ).

cnf(i_0_8012,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_6863]) ).

cnf(i_0_8013,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3258]) ).

cnf(i_0_8014,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),X4),X5)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364]) ).

cnf(i_0_8015,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),X4)),
    inference(rename_variables,[],[i_0_5721]) ).

cnf(i_0_8016,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3364]) ).

cnf(i_0_8017,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424]) ).

cnf(i_0_8018,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6),X3),
    inference(rename_variables,[],[i_0_7485]) ).

cnf(i_0_8019,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3424]) ).

cnf(i_0_8020,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5))),X6)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761]) ).

cnf(i_0_8021,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3761]) ).

cnf(i_0_8022,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5) != X2,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587]) ).

cnf(i_0_8023,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(rename_variables,[],[i_0_7293]) ).

cnf(i_0_8024,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3587]) ).

cnf(i_0_8025,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827]) ).

cnf(i_0_8026,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3827]) ).

cnf(i_0_8027,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256]) ).

cnf(i_0_8028,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_6877]) ).

cnf(i_0_8029,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3256]) ).

cnf(i_0_8030,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209]) ).

cnf(i_0_8031,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) ),
    inference(rename_variables,[],[i_0_3209]) ).

cnf(i_0_8032,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797]) ).

cnf(i_0_8033,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X1),
    inference(rename_variables,[],[i_0_6747]) ).

cnf(i_0_8034,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3797]) ).

cnf(i_0_8035,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639]) ).

cnf(i_0_8036,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3639]) ).

cnf(i_0_8037,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255]) ).

cnf(i_0_8038,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3255]) ).

cnf(i_0_8039,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163]) ).

cnf(i_0_8040,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),
    inference(rename_variables,[],[i_0_5906]) ).

cnf(i_0_8041,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3163]) ).

cnf(i_0_8042,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_6799,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253]) ).

cnf(i_0_8043,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_6799]) ).

cnf(i_0_8044,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
    inference(rename_variables,[],[i_0_3253]) ).

cnf(i_0_8045,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X4)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_6799,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273]) ).

cnf(i_0_8046,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_7290]) ).

cnf(i_0_8047,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_3273]) ).

cnf(i_0_8048,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6914,i_0_6799,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660]) ).

cnf(i_0_8049,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_6863]) ).

cnf(i_0_8050,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(rename_variables,[],[i_0_3660]) ).

cnf(i_0_8051,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_5718,i_0_7865,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937]) ).

cnf(i_0_8052,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4)),
    inference(rename_variables,[],[i_0_6814]) ).

cnf(i_0_8053,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_2937]) ).

cnf(i_0_8054,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935]) ).

cnf(i_0_8055,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_7206]) ).

cnf(i_0_8056,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3935]) ).

cnf(i_0_8057,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663]) ).

cnf(i_0_8058,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_6799]) ).

cnf(i_0_8059,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
    inference(rename_variables,[],[i_0_3663]) ).

cnf(i_0_8060,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X3)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251]) ).

cnf(i_0_8061,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3),X3)),
    inference(rename_variables,[],[i_0_5718]) ).

cnf(i_0_8062,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3251]) ).

cnf(i_0_8063,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X1,X2,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328]) ).

cnf(i_0_8064,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_3(X2,X3,X1)) ),
    inference(rename_variables,[],[i_0_3328]) ).

cnf(i_0_8065,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635]) ).

cnf(i_0_8066,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)) ),
    inference(rename_variables,[],[i_0_3635]) ).

cnf(i_0_8067,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254]) ).

cnf(i_0_8068,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)),
    inference(rename_variables,[],[i_0_6659]) ).

cnf(i_0_8069,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3254]) ).

cnf(i_0_8070,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313]) ).

cnf(i_0_8071,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4) != X2,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330]) ).

cnf(i_0_8072,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4) != X2,
    inference(rename_variables,[],[i_0_6899]) ).

cnf(i_0_8073,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5) != X2,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331]) ).

cnf(i_0_8074,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)) != X2,
    inference(rename_variables,[],[i_0_6897]) ).

cnf(i_0_8075,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519]) ).

cnf(i_0_8076,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X2,
    inference(rename_variables,[],[i_0_5512]) ).

cnf(i_0_8077,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3519]) ).

cnf(i_0_8078,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk2_0),v_z____))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690]) ).

cnf(i_0_8079,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,v_z____)),esk2_0)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,v_z____))) ),
    inference(rename_variables,[],[i_0_2690]) ).

cnf(i_0_8080,plain,
    c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk2_0),v_z____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_6755,i_0_6978,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793]) ).

cnf(i_0_8081,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2))
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(rename_variables,[],[i_0_3793]) ).

cnf(i_0_8082,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = X1,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244]) ).

cnf(i_0_8083,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_4648]) ).

cnf(i_0_8084,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3244]) ).

cnf(i_0_8085,plain,
    esk42_1(esk2_0) = v_z____,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773]) ).

cnf(i_0_8086,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oab__group__add(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_8087,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215]) ).

cnf(i_0_8088,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3215]) ).

cnf(i_0_8089,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X3,X4),X1))),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930]) ).

cnf(i_0_8090,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X2,X3),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1))),
    inference(rename_variables,[],[i_0_6801]) ).

cnf(i_0_8091,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2930]) ).

cnf(i_0_8092,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X2),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263]) ).

cnf(i_0_8093,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(rename_variables,[],[i_0_7293]) ).

cnf(i_0_8094,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3263]) ).

cnf(i_0_8095,plain,
    X1 = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X2)),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566]) ).

cnf(i_0_8096,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X3)),X2),
    inference(rename_variables,[],[i_0_7813]) ).

cnf(i_0_8097,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3566]) ).

cnf(i_0_8098,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))) = X1,
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_6897,i_0_7859,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961]) ).

cnf(i_0_8099,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))) = X1,
    inference(rename_variables,[],[i_0_7014]) ).

cnf(i_0_8100,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Groups_Ogroup__add(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3961]) ).

cnf(i_0_8101,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_6730,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916]) ).

cnf(i_0_8102,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4) != X2,
    inference(rename_variables,[],[i_0_6899]) ).

cnf(i_0_8103,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8104,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3916]) ).

cnf(i_0_8105,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873]) ).

cnf(i_0_8106,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X1))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3) ),
    inference(rename_variables,[],[i_0_2873]) ).

cnf(i_0_8107,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6),X2),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_4190,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126]) ).

cnf(i_0_8108,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6)),X2),
    inference(rename_variables,[],[i_0_6774]) ).

cnf(i_0_8109,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3126]) ).

cnf(i_0_8110,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_7176,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_4190,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474]) ).

cnf(i_0_8111,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),
    inference(rename_variables,[],[i_0_7176]) ).

cnf(i_0_8112,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3474]) ).

cnf(i_0_8113,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6)),X7)),c_Power_Opower__class_Opower(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_7176,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_4190,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872]) ).

cnf(i_0_8114,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_7290]) ).

cnf(i_0_8115,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X2),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2872]) ).

cnf(i_0_8116,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_4190,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408]) ).

cnf(i_0_8117,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X1),
    inference(rename_variables,[],[i_0_7805]) ).

cnf(i_0_8118,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3408]) ).

cnf(i_0_8119,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_4194,i_0_4190,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130]) ).

cnf(i_0_8120,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),
    inference(rename_variables,[],[i_0_5743]) ).

cnf(i_0_8121,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3130]) ).

cnf(i_0_8122,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X3) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_4194,i_0_4190,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447]) ).

cnf(i_0_8123,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)) != X2,
    inference(rename_variables,[],[i_0_6897]) ).

cnf(i_0_8124,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8125,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3447]) ).

cnf(i_0_8126,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6),X3),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127]) ).

cnf(i_0_8127,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6)),X3),
    inference(rename_variables,[],[i_0_6777]) ).

cnf(i_0_8128,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3127]) ).

cnf(i_0_8129,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),X3),c_Groups_Oone__class_Oone(tc_Int_Oint)),X3),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131]) ).

cnf(i_0_8130,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,c_Groups_Oone__class_Oone(tc_Int_Oint))),X3),
    inference(rename_variables,[],[i_0_6871]) ).

cnf(i_0_8131,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3131]) ).

cnf(i_0_8132,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446]) ).

cnf(i_0_8133,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)) != X2,
    inference(rename_variables,[],[i_0_6897]) ).

cnf(i_0_8134,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8135,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3446]) ).

cnf(i_0_8136,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))) = X1,
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541]) ).

cnf(i_0_8137,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Oplus__class_Oplus(X1,X2,X4)
    | X3 = X4
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_3541]) ).

cnf(i_0_8138,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,X6)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X7),X8)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013]) ).

cnf(i_0_8139,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6),X3),
    inference(rename_variables,[],[i_0_7472]) ).

cnf(i_0_8140,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X4) ),
    inference(rename_variables,[],[i_0_3013]) ).

cnf(i_0_8141,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)),X5),X6)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125]) ).

cnf(i_0_8142,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6),X3),
    inference(rename_variables,[],[i_0_7485]) ).

cnf(i_0_8143,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3125]) ).

cnf(i_0_8144,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_4599,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120]) ).

cnf(i_0_8145,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)),
    inference(rename_variables,[],[i_0_7787]) ).

cnf(i_0_8146,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4599]) ).

cnf(i_0_8147,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
    inference(rename_variables,[],[i_0_3120]) ).

cnf(i_0_8148,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk34_1(X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_4599,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227]) ).

cnf(i_0_8149,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_8150,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    inference(rename_variables,[],[i_0_3227]) ).

cnf(i_0_8151,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk34_1(X1)))),esk15_0),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_4599,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245]) ).

cnf(i_0_8152,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_8153,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,esk15_0) ),
    inference(rename_variables,[],[i_0_3245]) ).

cnf(i_0_8154,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),v_z____))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_4599,i_0_7393,i_0_5954,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545]) ).

cnf(i_0_8155,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3545]) ).

cnf(i_0_8156,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_4599,i_0_7393,i_0_5954,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785]) ).

cnf(i_0_8157,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3785]) ).

cnf(i_0_8158,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_4599,i_0_7393,i_0_5954,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787]) ).

cnf(i_0_8159,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3787]) ).

cnf(i_0_8160,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_4599,i_0_7377,i_0_7393,i_0_5954,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788]) ).

cnf(i_0_8161,plain,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3788]) ).

cnf(i_0_8162,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_4599,i_0_7377,i_0_7393,i_0_5954,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789]) ).

cnf(i_0_8163,plain,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3789]) ).

cnf(i_0_8164,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X1,X2),X3) = c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X4,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X1,X4),X2),X3),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_5964,i_0_4599,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781]) ).

cnf(i_0_8165,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8166,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5) != X6
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2781]) ).

cnf(i_0_8167,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_5964,i_0_4599,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627]) ).

cnf(i_0_8168,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3627]) ).

cnf(i_0_8169,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_5964,i_0_4599,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772]) ).

cnf(i_0_8170,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_8171,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_5964,i_0_4599,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870]) ).

cnf(i_0_8172,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Odivision__ring__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3870]) ).

cnf(i_0_8173,plain,
    hAPP(c_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))))))),X1) = c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_5964,i_0_4599,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899]) ).

cnf(i_0_8174,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8175,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | hAPP(c_Polynomial_Opoly(X2,X1),X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oidom(X2) ),
    inference(rename_variables,[],[i_0_3899]) ).

cnf(i_0_8176,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_5964,i_0_4599,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921]) ).

cnf(i_0_8177,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | c_Orderings_Oord__class_Oless__eq(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_3921]) ).

cnf(i_0_8178,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_5964,i_0_4599,i_0_6223,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922]) ).

cnf(i_0_8179,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | X2 != X3
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3922]) ).

cnf(i_0_8180,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))) = X1,
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974]) ).

cnf(i_0_8181,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8182,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != X3
    | c_Groups_Ouminus__class_Ouminus(X1,X3) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3974]) ).

cnf(i_0_8183,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))),X2))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978]) ).

cnf(i_0_8184,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_8185,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Groups_Ozero(X2) ),
    inference(rename_variables,[],[i_0_3978]) ).

cnf(i_0_8186,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))))))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980]) ).

cnf(i_0_8187,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8188,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Groups_Ozero(X2) ),
    inference(rename_variables,[],[i_0_3980]) ).

cnf(i_0_8189,plain,
    c_Int_Oiszero(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006]) ).

cnf(i_0_8190,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Osemiring__1(X2)
    | c_Int_Oiszero(X2,X1) ),
    inference(rename_variables,[],[i_0_4006]) ).

cnf(i_0_8191,plain,
    X1 = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492]) ).

cnf(i_0_8192,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Otimes__class_Otimes(X2,c_Rings_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4492]) ).

cnf(i_0_8193,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493]) ).

cnf(i_0_8194,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Rings_Oinverse__class_Odivide(X2,c_Groups_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4493]) ).

cnf(i_0_8195,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X1,X2),X3) != c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X4,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X1,X4),X2),X3))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783]) ).

cnf(i_0_8196,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),
    inference(rename_variables,[],[i_0_4622]) ).

cnf(i_0_8197,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4),X5) = X6
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X5) != c_Groups_Oplus__class_Oplus(X1,c_Groups_Otimes__class_Otimes(X1,X3,X4),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2783]) ).

cnf(i_0_8198,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X4,X1),X2),X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) != c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X4,X2),X5),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784]) ).

cnf(i_0_8199,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X2,
    inference(rename_variables,[],[i_0_5512]) ).

cnf(i_0_8200,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,c_Groups_Ominus__class_Ominus(X2,X3,X4),X5),X6)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X4,X5),X1) != c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X5),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2784]) ).

cnf(i_0_8201,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180]) ).

cnf(i_0_8202,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_7290]) ).

cnf(i_0_8203,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X2) ),
    inference(rename_variables,[],[i_0_3180]) ).

cnf(i_0_8204,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk2_0,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420]) ).

cnf(i_0_8205,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X1) ),
    inference(rename_variables,[],[i_0_3420]) ).

cnf(i_0_8206,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655]) ).

cnf(i_0_8207,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3655]) ).

cnf(i_0_8208,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675]) ).

cnf(i_0_8209,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Otimes__class_Otimes(X2,X3,X3)
    | ~ class_Rings_Oidom(X2) ),
    inference(rename_variables,[],[i_0_3675]) ).

cnf(i_0_8210,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))))))) = c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779]) ).

cnf(i_0_8211,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8212,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3779]) ).

cnf(i_0_8213,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814]) ).

cnf(i_0_8214,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Oplus__class_Oplus(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3814]) ).

cnf(i_0_8215,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))))) = c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866]) ).

cnf(i_0_8216,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8217,plain,
    ( X1 != c_Groups_Oone__class_Oone(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3866]) ).

cnf(i_0_8218,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976]) ).

cnf(i_0_8219,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3976]) ).

cnf(i_0_8220,plain,
    ~ c_Int_Oiszero(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996]) ).

cnf(i_0_8221,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Int_Oiszero(X2,X1)
    | ~ class_Rings_Osemiring__1(X2) ),
    inference(rename_variables,[],[i_0_3996]) ).

cnf(i_0_8222,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = X1,
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489]) ).

cnf(i_0_8223,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,c_Groups_Otimes__class_Otimes(X2,X3,X1),X1) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4489]) ).

cnf(i_0_8224,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),v_z____))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546]) ).

cnf(i_0_8225,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3546]) ).

cnf(i_0_8226,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998]) ).

cnf(i_0_8227,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Ouminus__class_Ouminus(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3998]) ).

cnf(i_0_8228,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999]) ).

cnf(i_0_8229,plain,
    ( c_Groups_Ozero__class_Ozero(X1) != X2
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3999]) ).

cnf(i_0_8230,plain,
    c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Ominus__class_Ominus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X3,X1),X2),X4))) = c_Groups_Oplus__class_Oplus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),X3,X2),X4),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782]) ).

cnf(i_0_8231,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8232,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,c_Groups_Ominus__class_Ominus(X2,X3,X4),X5),X6)
    | c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X4,X5),X1) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Otimes__class_Otimes(X2,X3,X5),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2782]) ).

cnf(i_0_8233,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)),X4)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)),X4))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166]) ).

cnf(i_0_8234,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_7290]) ).

cnf(i_0_8235,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_8236,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk32_2(X2,X1),X2) ),
    inference(rename_variables,[],[i_0_3166]) ).

cnf(i_0_8237,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk2_0)),esk2_0),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292]) ).

cnf(i_0_8238,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_8239,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(rename_variables,[],[i_0_3292]) ).

cnf(i_0_8240,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305]) ).

cnf(i_0_8241,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_8242,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3305]) ).

cnf(i_0_8243,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4))),X5),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418]) ).

cnf(i_0_8244,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),
    inference(rename_variables,[],[i_0_5274]) ).

cnf(i_0_8245,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5))),X6),X2),
    inference(rename_variables,[],[i_0_7670]) ).

cnf(i_0_8246,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(rename_variables,[],[i_0_3418]) ).

cnf(i_0_8247,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431]) ).

cnf(i_0_8248,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_8249,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3431]) ).

cnf(i_0_8250,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432]) ).

cnf(i_0_8251,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_6099]) ).

cnf(i_0_8252,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3432]) ).

cnf(i_0_8253,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505]) ).

cnf(i_0_8254,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3505]) ).

cnf(i_0_8255,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = X1,
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488]) ).

cnf(i_0_8256,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,c_Rings_Oinverse__class_Odivide(X2,X3,X1),X1) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_4488]) ).

cnf(i_0_8257,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_RealDef_Oreal),X2,X2),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726]) ).

cnf(i_0_8258,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_8259,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk9_4(X3,X2,X4,X1)),hAPP(X3,esk9_4(X3,X2,X4,X1)))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X1),X2,X3)
    | ~ class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2726]) ).

cnf(i_0_8260,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X1))),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X3),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842]) ).

cnf(i_0_8261,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_6099]) ).

cnf(i_0_8262,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X3,X4),X2)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2842]) ).

cnf(i_0_8263,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176]) ).

cnf(i_0_8264,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))) = X1,
    inference(rename_variables,[],[i_0_7014]) ).

cnf(i_0_8265,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3176]) ).

cnf(i_0_8266,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X6)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193]) ).

cnf(i_0_8267,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(rename_variables,[],[i_0_7293]) ).

cnf(i_0_8268,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_7290]) ).

cnf(i_0_8269,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_3193]) ).

cnf(i_0_8270,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319]) ).

cnf(i_0_8271,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X1,X2)) ),
    inference(rename_variables,[],[i_0_3319]) ).

cnf(i_0_8272,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515]) ).

cnf(i_0_8273,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3515]) ).

cnf(i_0_8274,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867]) ).

cnf(i_0_8275,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3867]) ).

cnf(i_0_8276,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868]) ).

cnf(i_0_8277,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Oring__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3868]) ).

cnf(i_0_8278,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923]) ).

cnf(i_0_8279,plain,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X3)
    | c_Orderings_Oord__class_Oless__eq(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3923]) ).

cnf(i_0_8280,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307]) ).

cnf(i_0_8281,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3307]) ).

cnf(i_0_8282,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414]) ).

cnf(i_0_8283,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(rename_variables,[],[i_0_3953]) ).

cnf(i_0_8284,plain,
    ( X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1) ),
    inference(rename_variables,[],[i_0_3414]) ).

cnf(i_0_8285,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419]) ).

cnf(i_0_8286,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_4666]) ).

cnf(i_0_8287,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X1) ),
    inference(rename_variables,[],[i_0_3419]) ).

cnf(i_0_8288,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429]) ).

cnf(i_0_8289,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3429]) ).

cnf(i_0_8290,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436]) ).

cnf(i_0_8291,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_8292,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3436]) ).

cnf(i_0_8293,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438]) ).

cnf(i_0_8294,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3438]) ).

cnf(i_0_8295,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869]) ).

cnf(i_0_8296,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X1,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_3869]) ).

cnf(i_0_8297,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997]) ).

cnf(i_0_8298,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oabs__class_Oabs(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3997]) ).

cnf(i_0_8299,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004]) ).

cnf(i_0_8300,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Ouminus__class_Ouminus(X2,X1) = X1
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_4004]) ).

cnf(i_0_8301,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005]) ).

cnf(i_0_8302,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X1 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Groups_Olinordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_4005]) ).

cnf(i_0_8303,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925]) ).

cnf(i_0_8304,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X3)),
    inference(rename_variables,[],[i_0_6849]) ).

cnf(i_0_8305,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),
    inference(rename_variables,[],[i_0_6826]) ).

cnf(i_0_8306,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_2925]) ).

cnf(i_0_8307,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016]) ).

cnf(i_0_8308,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_8309,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X4) ),
    inference(rename_variables,[],[i_0_3016]) ).

cnf(i_0_8310,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306]) ).

cnf(i_0_8311,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3306]) ).

cnf(i_0_8312,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516]) ).

cnf(i_0_8313,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3516]) ).

cnf(i_0_8314,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518]) ).

cnf(i_0_8315,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3518]) ).

cnf(i_0_8316,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302]) ).

cnf(i_0_8317,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3302]) ).

cnf(i_0_8318,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434]) ).

cnf(i_0_8319,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3434]) ).

cnf(i_0_8320,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507]) ).

cnf(i_0_8321,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3507]) ).

cnf(i_0_8322,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510]) ).

cnf(i_0_8323,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(rename_variables,[],[i_0_5925]) ).

cnf(i_0_8324,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3510]) ).

cnf(i_0_8325,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517]) ).

cnf(i_0_8326,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3517]) ).

cnf(i_0_8327,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X4)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X5)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754]) ).

cnf(i_0_8328,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,X6))),X5),
    inference(rename_variables,[],[i_0_7275]) ).

cnf(i_0_8329,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_8330,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3754]) ).

cnf(i_0_8331,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_4666,i_0_4277,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558]) ).

cnf(i_0_8332,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_5730]) ).

cnf(i_0_8333,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_3598]) ).

cnf(i_0_8334,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3558]) ).

cnf(i_0_8335,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741]) ).

cnf(i_0_8336,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),X2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X3)) = X3,
    inference(rename_variables,[],[i_0_5462]) ).

cnf(i_0_8337,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3741]) ).

cnf(i_0_8338,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888]) ).

cnf(i_0_8339,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Oplus__class_Oplus(X2,X3,X1)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(rename_variables,[],[i_0_3888]) ).

cnf(i_0_8340,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264]) ).

cnf(i_0_8341,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1),
    inference(rename_variables,[],[i_0_2717]) ).

cnf(i_0_8342,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4599]) ).

cnf(i_0_8343,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(rename_variables,[],[i_0_3264]) ).

cnf(i_0_8344,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,esk2_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550]) ).

cnf(i_0_8345,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3550]) ).

cnf(i_0_8346,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553]) ).

cnf(i_0_8347,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3553]) ).

cnf(i_0_8348,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739]) ).

cnf(i_0_8349,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Ouminus__class_Ouminus(X1,X2) = X3
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_8350,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)),X4)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926]) ).

cnf(i_0_8351,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))),
    inference(rename_variables,[],[i_0_6080]) ).

cnf(i_0_8352,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),
    inference(rename_variables,[],[i_0_6826]) ).

cnf(i_0_8353,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_2926]) ).

cnf(i_0_8354,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570]) ).

cnf(i_0_8355,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3570]) ).

cnf(i_0_8356,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736]) ).

cnf(i_0_8357,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3736]) ).

cnf(i_0_8358,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X3)),X2))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740]) ).

cnf(i_0_8359,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ouminus__class_Ouminus(X1,X3)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3740]) ).

cnf(i_0_8360,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571]) ).

cnf(i_0_8361,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X2)),
    inference(rename_variables,[],[i_0_3067]) ).

cnf(i_0_8362,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3571]) ).

cnf(i_0_8363,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982]) ).

cnf(i_0_8364,plain,
    ( c_Groups_Ozero__class_Ozero(X1) != c_Groups_Ouminus__class_Ouminus(X1,X2)
    | c_Groups_Ozero__class_Ozero(X1) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3982]) ).

cnf(i_0_8365,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))),X3)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843]) ).

cnf(i_0_8366,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_6099]) ).

cnf(i_0_8367,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_2843]) ).

cnf(i_0_8368,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506]) ).

cnf(i_0_8369,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3506]) ).

cnf(i_0_8370,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554]) ).

cnf(i_0_8371,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3554]) ).

cnf(i_0_8372,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075]) ).

cnf(i_0_8373,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))) != X1,
    inference(rename_variables,[],[i_0_6769]) ).

cnf(i_0_8374,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_6673]) ).

cnf(i_0_8375,plain,
    ( X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_3075]) ).

cnf(i_0_8376,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681]) ).

cnf(i_0_8377,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3681]) ).

cnf(i_0_8378,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984]) ).

cnf(i_0_8379,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3984]) ).

cnf(i_0_8380,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),X3)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928]) ).

cnf(i_0_8381,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3),X3)),
    inference(rename_variables,[],[i_0_5718]) ).

cnf(i_0_8382,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2928]) ).

cnf(i_0_8383,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243]) ).

cnf(i_0_8384,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_7290]) ).

cnf(i_0_8385,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_7206]) ).

cnf(i_0_8386,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_8387,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),esk22_2(X1,X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813]) ).

cnf(i_0_8388,plain,
    ( X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(rename_variables,[],[i_0_3813]) ).

cnf(i_0_8389,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409]) ).

cnf(i_0_8390,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))),X1),
    inference(rename_variables,[],[i_0_5750]) ).

cnf(i_0_8391,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3409]) ).

cnf(i_0_8392,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780]) ).

cnf(i_0_8393,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))
    | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(rename_variables,[],[i_0_3780]) ).

cnf(i_0_8394,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5)),X6),X5),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012]) ).

cnf(i_0_8395,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6),X7)),X6),
    inference(rename_variables,[],[i_0_7676]) ).

cnf(i_0_8396,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_4596]) ).

cnf(i_0_8397,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4) ),
    inference(rename_variables,[],[i_0_3012]) ).

cnf(i_0_8398,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473]) ).

cnf(i_0_8399,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3473]) ).

cnf(i_0_8400,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731]) ).

cnf(i_0_8401,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3731]) ).

cnf(i_0_8402,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511]) ).

cnf(i_0_8403,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_6099]) ).

cnf(i_0_8404,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Rings_Olinordered__idom(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3511]) ).

cnf(i_0_8405,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161]) ).

cnf(i_0_8406,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_7135]) ).

cnf(i_0_8407,plain,
    X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),
    inference(rename_variables,[],[i_0_5612]) ).

cnf(i_0_8408,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3161]) ).

cnf(i_0_8409,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657]) ).

cnf(i_0_8410,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3657]) ).

cnf(i_0_8411,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934]) ).

cnf(i_0_8412,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_6099]) ).

cnf(i_0_8413,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2934]) ).

cnf(i_0_8414,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303]) ).

cnf(i_0_8415,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3303]) ).

cnf(i_0_8416,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508]) ).

cnf(i_0_8417,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3508]) ).

cnf(i_0_8418,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,esk22_2(X1,X2),esk22_2(X1,X2))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659]) ).

cnf(i_0_8419,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3659]) ).

cnf(i_0_8420,plain,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415]) ).

cnf(i_0_8421,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_5850]) ).

cnf(i_0_8422,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),
    inference(rename_variables,[],[i_0_5274]) ).

cnf(i_0_8423,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != X3
    | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(rename_variables,[],[i_0_3415]) ).

cnf(i_0_8424,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304]) ).

cnf(i_0_8425,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3304]) ).

cnf(i_0_8426,plain,
    X1 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569]) ).

cnf(i_0_8427,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3),X2)),
    inference(rename_variables,[],[i_0_7246]) ).

cnf(i_0_8428,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3569]) ).

cnf(i_0_8429,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932]) ).

cnf(i_0_8430,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_7255]) ).

cnf(i_0_8431,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2932]) ).

cnf(i_0_8432,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)),X5),X6)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128]) ).

cnf(i_0_8433,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),X4),X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X6),X3),
    inference(rename_variables,[],[i_0_7472]) ).

cnf(i_0_8434,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_3128]) ).

cnf(i_0_8435,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309]) ).

cnf(i_0_8436,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3309]) ).

cnf(i_0_8437,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),X3),X4),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6814,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678]) ).

cnf(i_0_8438,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3),X4)),
    inference(rename_variables,[],[i_0_5721]) ).

cnf(i_0_8439,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),
    inference(rename_variables,[],[i_0_6826]) ).

cnf(i_0_8440,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3678]) ).

cnf(i_0_8441,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4),X2),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124]) ).

cnf(i_0_8442,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),X4),X2),
    inference(rename_variables,[],[i_0_6831]) ).

cnf(i_0_8443,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_3124]) ).

cnf(i_0_8444,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,esk2_0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,esk2_0))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308]) ).

cnf(i_0_8445,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3308]) ).

cnf(i_0_8446,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))),X5),X3),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129]) ).

cnf(i_0_8447,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),X4),X5),X3),
    inference(rename_variables,[],[i_0_6794]) ).

cnf(i_0_8448,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_3129]) ).

cnf(i_0_8449,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369]) ).

cnf(i_0_8450,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8451,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370]) ).

cnf(i_0_8452,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8453,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk22_2(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371]) ).

cnf(i_0_8454,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8455,plain,
    ~ c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),tc_RealDef_Oreal),esk2_0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355]) ).

cnf(i_0_8456,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8457,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,esk2_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356]) ).

cnf(i_0_8458,plain,
    ~ c_Int_Oiszero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358]) ).

cnf(i_0_8459,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8460,plain,
    ~ c_Int_Oiszero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359]) ).

cnf(i_0_8461,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8462,plain,
    class_Rings_Oring__1__no__zero__divisors(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360]) ).

cnf(i_0_8463,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8464,plain,
    class_Orderings_Oord(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7313,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361]) ).

cnf(i_0_8465,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8466,plain,
    class_Rings_Osemiring__1(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7313,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362]) ).

cnf(i_0_8467,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8468,plain,
    class_RealVector_Oreal__normed__algebra(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363]) ).

cnf(i_0_8469,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8470,plain,
    class_Groups_Oordered__ab__group__add__abs(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7319,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364]) ).

cnf(i_0_8471,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8472,plain,
    class_RealVector_Oreal__normed__vector(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7319,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365]) ).

cnf(i_0_8473,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8474,plain,
    class_Rings_Oidom(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7393,i_0_5954,i_0_7323,i_0_7319,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366]) ).

cnf(i_0_8475,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8476,plain,
    class_Int_Oring__char__0(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7325,i_0_7393,i_0_5954,i_0_7323,i_0_7319,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367]) ).

cnf(i_0_8477,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8478,plain,
    class_Rings_Oring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7325,i_0_7393,i_0_5954,i_0_7323,i_0_7319,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368]) ).

cnf(i_0_8479,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8480,plain,
    class_Rings_Osemiring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7325,i_0_7393,i_0_5954,i_0_7323,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372]) ).

cnf(i_0_8481,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8482,plain,
    class_Fields_Olinordered__field(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7325,i_0_7393,i_0_5954,i_0_7323,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373]) ).

cnf(i_0_8483,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8484,plain,
    class_Fields_Ofield(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7325,i_0_7393,i_0_5954,i_0_7323,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374]) ).

cnf(i_0_8485,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8486,plain,
    class_Rings_Oordered__semiring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7327,i_0_7325,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376]) ).

cnf(i_0_8487,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8488,plain,
    class_Rings_Olinordered__ring__strict(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7337,i_0_7327,i_0_7325,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377]) ).

cnf(i_0_8489,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8490,plain,
    class_Int_Onumber(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7337,i_0_7327,i_0_7325,i_0_7339,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378]) ).

cnf(i_0_8491,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8492,plain,
    c_SEQ_Osubseq(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7337,i_0_7327,i_0_7325,i_0_7339,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379]) ).

cnf(i_0_8493,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8494,plain,
    class_Fields_Ofield__inverse__zero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7337,i_0_7327,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380]) ).

cnf(i_0_8495,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8496,plain,
    class_Rings_Ocomm__semiring__0(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7337,i_0_7327,i_0_7345,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383]) ).

cnf(i_0_8497,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8498,plain,
    class_Rings_Ocomm__ring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7347,i_0_7337,i_0_7327,i_0_7345,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384]) ).

cnf(i_0_8499,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8500,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7347,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385]) ).

cnf(i_0_8501,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8502,plain,
    class_Rings_Oordered__comm__semiring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386]) ).

cnf(i_0_8503,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8504,plain,
    class_Rings_Olinordered__semiring__strict(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7353,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387]) ).

cnf(i_0_8505,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8506,plain,
    class_Rings_Olinordered__comm__semiring__strict(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7355,i_0_7353,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388]) ).

cnf(i_0_8507,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8508,plain,
    class_Rings_Oordered__ring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389]) ).

cnf(i_0_8509,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8510,plain,
    class_RealVector_Oreal__normed__algebra__1(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390]) ).

cnf(i_0_8511,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8512,plain,
    class_Groups_Oordered__ab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391]) ).

cnf(i_0_8513,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8514,plain,
    class_Groups_Oordered__cancel__ab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392]) ).

cnf(i_0_8515,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8516,plain,
    class_Rings_Olinordered__semidom(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393]) ).

cnf(i_0_8517,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8518,plain,
    class_Rings_Ocomm__semiring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394]) ).

cnf(i_0_8519,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8520,plain,
    class_RealVector_Oreal__normed__field(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396]) ).

cnf(i_0_8521,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8522,plain,
    class_Rings_Oordered__cancel__semiring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397]) ).

cnf(i_0_8523,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8524,plain,
    class_Groups_Oordered__comm__monoid__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398]) ).

cnf(i_0_8525,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8526,plain,
    class_Orderings_Oorder(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401]) ).

cnf(i_0_8527,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8528,plain,
    class_Orderings_Olinorder(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402]) ).

cnf(i_0_8529,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8530,plain,
    class_Groups_Omonoid__mult(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403]) ).

cnf(i_0_8531,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8532,plain,
    class_Power_Opower(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404]) ).

cnf(i_0_8533,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8534,plain,
    class_Groups_Olinordered__ab__group__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405]) ).

cnf(i_0_8535,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8536,plain,
    class_Groups_Oab__semigroup__mult(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406]) ).

cnf(i_0_8537,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8538,plain,
    class_Groups_Oab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407]) ).

cnf(i_0_8539,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8540,plain,
    class_Groups_Ominus(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409]) ).

cnf(i_0_8541,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8542,plain,
    class_Rings_Olinordered__ring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410]) ).

cnf(i_0_8543,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8544,plain,
    class_Orderings_Opreorder(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411]) ).

cnf(i_0_8545,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8546,plain,
    class_RealVector_Oreal__normed__div__algebra(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413]) ).

cnf(i_0_8547,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8548,plain,
    class_Lattices_Oboolean__algebra(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414]) ).

cnf(i_0_8549,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8550,plain,
    class_Fields_Olinordered__field__inverse__zero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415]) ).

cnf(i_0_8551,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8552,plain,
    class_Rings_Osemiring__0(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417]) ).

cnf(i_0_8553,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8554,plain,
    class_Rings_Omult__zero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418]) ).

cnf(i_0_8555,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8556,plain,
    class_Rings_Ono__zero__divisors(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419]) ).

cnf(i_0_8557,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8558,plain,
    class_Rings_Ozero__neq__one(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420]) ).

cnf(i_0_8559,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8560,plain,
    class_Groups_Ocancel__semigroup__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421]) ).

cnf(i_0_8561,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8562,plain,
    class_Groups_Ocancel__ab__semigroup__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422]) ).

cnf(i_0_8563,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8564,plain,
    class_Rings_Ocomm__ring__1(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423]) ).

cnf(i_0_8565,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8566,plain,
    class_Groups_Ouminus(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424]) ).

cnf(i_0_8567,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8568,plain,
    class_Groups_Oabs__if(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425]) ).

cnf(i_0_8569,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8570,plain,
    class_Int_Onumber__ring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426]) ).

cnf(i_0_8571,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8572,plain,
    class_Rings_Oring__no__zero__divisors(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427]) ).

cnf(i_0_8573,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8574,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428]) ).

cnf(i_0_8575,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8576,plain,
    class_Groups_Ocomm__monoid__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429]) ).

cnf(i_0_8577,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8578,plain,
    class_Rings_Odivision__ring__inverse__zero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430]) ).

cnf(i_0_8579,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8580,plain,
    class_Groups_Ocomm__monoid__mult(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431]) ).

cnf(i_0_8581,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8582,plain,
    class_Groups_Omonoid__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432]) ).

cnf(i_0_8583,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8584,plain,
    class_Groups_Ozero(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_4599,i_0_8146,i_0_6223,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433]) ).

cnf(i_0_8585,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8586,plain,
    class_Groups_Ocancel__comm__monoid__add(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_4599,i_0_8146,i_0_6223,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434]) ).

cnf(i_0_8587,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8588,plain,
    class_Groups_Oone(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_4599,i_0_8146,i_0_6223,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435]) ).

cnf(i_0_8589,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8590,plain,
    class_Rings_Ocomm__semiring__1(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436]) ).

cnf(i_0_8591,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8592,plain,
    class_Rings_Oring__1(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437]) ).

cnf(i_0_8593,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8594,plain,
    class_Rings_Odivision__ring(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395]) ).

cnf(i_0_8595,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8596,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk2_0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357]) ).

cnf(i_0_8597,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314]) ).

cnf(i_0_8598,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_8599,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223]) ).

cnf(i_0_8600,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_3223]) ).

cnf(i_0_8601,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514]) ).

cnf(i_0_8602,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
    inference(rename_variables,[],[i_0_3766]) ).

cnf(i_0_8603,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oab__group__add(X1)
    | X2 = X3
    | X4 != X5 ),
    inference(rename_variables,[],[i_0_3514]) ).

cnf(i_0_8604,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5))),X6),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387]) ).

cnf(i_0_8605,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),
    inference(rename_variables,[],[i_0_5274]) ).

cnf(i_0_8606,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3387]) ).

cnf(i_0_8607,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225]) ).

cnf(i_0_8608,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_3225]) ).

cnf(i_0_8609,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_3800,i_0_5512,i_0_8076,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845]) ).

cnf(i_0_8610,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X2)),
    inference(rename_variables,[],[i_0_6914]) ).

cnf(i_0_8611,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X2),
    inference(rename_variables,[],[i_0_6826]) ).

cnf(i_0_8612,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(rename_variables,[],[i_0_3962]) ).

cnf(i_0_8613,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_2845]) ).

cnf(i_0_8614,plain,
    c_Groups_Otimes__class_Otimes(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) != c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712]) ).

cnf(i_0_8615,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X2,
    inference(rename_variables,[],[i_0_5512]) ).

cnf(i_0_8616,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) != X1,
    inference(rename_variables,[],[i_0_4590]) ).

cnf(i_0_8617,plain,
    ( X1 = c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))
    | c_Groups_Otimes__class_Otimes(X2,X1,X1) != c_Groups_Oone__class_Oone(X2)
    | X1 = c_Groups_Oone__class_Oone(X2)
    | ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
    inference(rename_variables,[],[i_0_3712]) ).

cnf(i_0_8618,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267]) ).

cnf(i_0_8619,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4761]) ).

cnf(i_0_8620,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3267]) ).

cnf(i_0_8621,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844]) ).

cnf(i_0_8622,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X1),
    inference(rename_variables,[],[i_0_6747]) ).

cnf(i_0_8623,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3)),
    inference(rename_variables,[],[i_0_4657]) ).

cnf(i_0_8624,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(rename_variables,[],[i_0_2844]) ).

cnf(i_0_8625,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5),X6)),X7),X3),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391]) ).

cnf(i_0_8626,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),X2),
    inference(rename_variables,[],[i_0_7293]) ).

cnf(i_0_8627,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3391]) ).

cnf(i_0_8628,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852]) ).

cnf(i_0_8629,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2852]) ).

cnf(i_0_8630,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392]) ).

cnf(i_0_8631,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3392]) ).

cnf(i_0_8632,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394]) ).

cnf(i_0_8633,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_8634,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3394]) ).

cnf(i_0_8635,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616]) ).

cnf(i_0_8636,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_7734]) ).

cnf(i_0_8637,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) != X4
    | X3 = c_Groups_Otimes__class_Otimes(X2,X4,X1)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3616]) ).

cnf(i_0_8638,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,tc_HOL_Obool,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4847,i_0_8149,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390]) ).

cnf(i_0_8639,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3390]) ).

cnf(i_0_8640,plain,
    ~ c_Orderings_Oord__class_Oless(tc_HOL_Obool,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393]) ).

cnf(i_0_8641,plain,
    ~ c_Orderings_Oord__class_Oless(tc_HOL_Obool,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4813]) ).

cnf(i_0_8642,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3393]) ).

cnf(i_0_8643,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),X5)),X6)),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X3)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856]) ).

cnf(i_0_8644,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_6099]) ).

cnf(i_0_8645,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X2,X4))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_2856]) ).

cnf(i_0_8646,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851]) ).

cnf(i_0_8647,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2851]) ).

cnf(i_0_8648,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),X1),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850]) ).

cnf(i_0_8649,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Power_Opower__class_Opower(X1,X3,X4),c_Power_Opower__class_Opower(X1,X2,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_2850]) ).

cnf(i_0_8650,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk17_0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk34_1(X1))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037]) ).

cnf(i_0_8651,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_8652,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_8653,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,esk17_0)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(rename_variables,[],[i_0_3037]) ).

cnf(i_0_8654,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_s____,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk34_1(X1))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038]) ).

cnf(i_0_8655,plain,
    X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_8656,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_8657,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,v_s____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2) ),
    inference(rename_variables,[],[i_0_3038]) ).

cnf(i_0_8658,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),X2),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139]) ).

cnf(i_0_8659,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_8660,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3139]) ).

cnf(i_0_8661,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2)),X2) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599]) ).

cnf(i_0_8662,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8663,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Otimes__class_Otimes(X2,X1,X4)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X4) = X1
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3599]) ).

cnf(i_0_8664,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),X2),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600]) ).

cnf(i_0_8665,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8666,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X3) != X4
    | X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3600]) ).

cnf(i_0_8667,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613]) ).

cnf(i_0_8668,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_6595]) ).

cnf(i_0_8669,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X4
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Otimes__class_Otimes(X1,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3613]) ).

cnf(i_0_8670,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614]) ).

cnf(i_0_8671,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8672,plain,
    ( c_Groups_Otimes__class_Otimes(X1,X2,X3) != X4
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Rings_Oinverse__class_Odivide(X1,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3614]) ).

cnf(i_0_8673,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856]) ).

cnf(i_0_8674,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) = X1
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3856]) ).

cnf(i_0_8675,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857]) ).

cnf(i_0_8676,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | X1 = c_Rings_Oinverse__class_Odivide(X2,X4,X3)
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3857]) ).

cnf(i_0_8677,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865]) ).

cnf(i_0_8678,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8679,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) = c_Groups_Oone__class_Oone(X2)
    | X3 != X1
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3865]) ).

cnf(i_0_8680,plain,
    ~ c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901]) ).

cnf(i_0_8681,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2),X3)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4),X4),
    inference(rename_variables,[],[i_0_7193]) ).

cnf(i_0_8682,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2901]) ).

cnf(i_0_8683,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981]) ).

cnf(i_0_8684,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_6099]) ).

cnf(i_0_8685,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2981]) ).

cnf(i_0_8686,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)) = X1,
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177]) ).

cnf(i_0_8687,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2) = X1,
    inference(rename_variables,[],[i_0_3602]) ).

cnf(i_0_8688,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_8689,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_3177]) ).

cnf(i_0_8690,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608]) ).

cnf(i_0_8691,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_7705]) ).

cnf(i_0_8692,plain,
    ( X1 != c_Rings_Oinverse__class_Odivide(X2,X3,X4)
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X1,X4) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3608]) ).

cnf(i_0_8693,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X3,X4)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X3,X4)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084]) ).

cnf(i_0_8694,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_8695,plain,
    ~ c_Orderings_Oord__class_Oless(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oone__class_Oone(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902]) ).

cnf(i_0_8696,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2),X2),
    inference(rename_variables,[],[i_0_6470]) ).

cnf(i_0_8697,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))
    | ~ c_Orderings_Oord__class_Oless(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Groups_Oone__class_Oone(X2))
    | ~ class_Rings_Olinordered__idom(X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(rename_variables,[],[i_0_2902]) ).

cnf(i_0_8698,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954]) ).

cnf(i_0_8699,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Rings_Oinverse__class_Odivide(X1,X4,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2954]) ).

cnf(i_0_8700,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962]) ).

cnf(i_0_8701,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2962]) ).

cnf(i_0_8702,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963]) ).

cnf(i_0_8703,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2963]) ).

cnf(i_0_8704,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964]) ).

cnf(i_0_8705,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Rings_Oinverse__class_Odivide(X1,X4,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_2964]) ).

cnf(i_0_8706,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978]) ).

cnf(i_0_8707,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_8708,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2978]) ).

cnf(i_0_8709,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X3,X4)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080]) ).

cnf(i_0_8710,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3080]) ).

cnf(i_0_8711,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X3,X4)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085]) ).

cnf(i_0_8712,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3085]) ).

cnf(i_0_8713,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104]) ).

cnf(i_0_8714,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rename_variables,[],[i_0_4787]) ).

cnf(i_0_8715,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3104]) ).

cnf(i_0_8716,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132]) ).

cnf(i_0_8717,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_7290]) ).

cnf(i_0_8718,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_6099]) ).

cnf(i_0_8719,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
    | c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),c_Power_Opower__class_Opower(X2,X3,X1))
    | ~ class_Rings_Olinordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_3132]) ).

cnf(i_0_8720,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X3)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876]) ).

cnf(i_0_8721,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),
    inference(rename_variables,[],[i_0_5199]) ).

cnf(i_0_8722,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2876]) ).

cnf(i_0_8723,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877]) ).

cnf(i_0_8724,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),
    inference(rename_variables,[],[i_0_5199]) ).

cnf(i_0_8725,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2877]) ).

cnf(i_0_8726,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048]) ).

cnf(i_0_8727,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),
    inference(rename_variables,[],[i_0_5199]) ).

cnf(i_0_8728,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3048]) ).

cnf(i_0_8729,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059]) ).

cnf(i_0_8730,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),
    inference(rename_variables,[],[i_0_5199]) ).

cnf(i_0_8731,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3059]) ).

cnf(i_0_8732,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2),X2),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140]) ).

cnf(i_0_8733,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_8734,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3140]) ).

cnf(i_0_8735,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) != c_Int_OPls,
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513]) ).

cnf(i_0_8736,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_8737,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oab__group__add(X1)
    | X4 = X5
    | X2 != X3 ),
    inference(rename_variables,[],[i_0_3513]) ).

cnf(i_0_8738,plain,
    X1 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_NthRoot_Osqrt(esk22_2(X2,X3))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617]) ).

cnf(i_0_8739,plain,
    X1 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(rename_variables,[],[i_0_5964]) ).

cnf(i_0_8740,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) != X4
    | X3 = c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3617]) ).

cnf(i_0_8741,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950]) ).

cnf(i_0_8742,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Otimes__class_Otimes(X1,X4,X2))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2950]) ).

cnf(i_0_8743,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951]) ).

cnf(i_0_8744,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2951]) ).

cnf(i_0_8745,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086]) ).

cnf(i_0_8746,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3086]) ).

cnf(i_0_8747,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = X1,
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612]) ).

cnf(i_0_8748,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8749,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Otimes__class_Otimes(X2,X4,X1)
    | c_Rings_Oinverse__class_Odivide(X2,X3,X1) = X4
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3612]) ).

cnf(i_0_8750,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049]) ).

cnf(i_0_8751,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_7509]) ).

cnf(i_0_8752,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_6342]) ).

cnf(i_0_8753,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3049]) ).

cnf(i_0_8754,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058]) ).

cnf(i_0_8755,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),
    inference(rename_variables,[],[i_0_5199]) ).

cnf(i_0_8756,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3058]) ).

cnf(i_0_8757,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083]) ).

cnf(i_0_8758,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3083]) ).

cnf(i_0_8759,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079]) ).

cnf(i_0_8760,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3079]) ).

cnf(i_0_8761,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266]) ).

cnf(i_0_8762,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_8763,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3266]) ).

cnf(i_0_8764,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = X1,
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609]) ).

cnf(i_0_8765,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_6863]) ).

cnf(i_0_8766,plain,
    ( X1 != c_Groups_Otimes__class_Otimes(X2,X3,X4)
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X1,X4) = X3
    | ~ class_Fields_Ofield__inverse__zero(X2) ),
    inference(rename_variables,[],[i_0_3609]) ).

cnf(i_0_8767,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611]) ).

cnf(i_0_8768,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_8769,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(rename_variables,[],[i_0_7705]) ).

cnf(i_0_8770,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Rings_Oinverse__class_Odivide(X2,X4,X1)
    | c_Groups_Otimes__class_Otimes(X2,X3,X1) = X4
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3611]) ).

cnf(i_0_8771,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),X2),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141]) ).

cnf(i_0_8772,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_8773,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3141]) ).

cnf(i_0_8774,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),X1),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X2,X3))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),X1)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953]) ).

cnf(i_0_8775,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_2953]) ).

cnf(i_0_8776,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979]) ).

cnf(i_0_8777,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_6099]) ).

cnf(i_0_8778,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)
    | c_Orderings_Oord__class_Oless__eq(X3,c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X3,X4,X2))
    | ~ class_Rings_Olinordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_2979]) ).

cnf(i_0_8779,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(esk22_2(X1,X2)))) = c_NthRoot_Osqrt(esk22_2(X1,X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760]) ).

cnf(i_0_8780,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(esk22_2(X2,X3)))),c_NthRoot_Osqrt(esk22_2(X2,X3))) = X1,
    inference(rename_variables,[],[i_0_6422]) ).

cnf(i_0_8781,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,X3) != c_Groups_Oone__class_Oone(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3760]) ).

cnf(i_0_8782,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989]) ).

cnf(i_0_8783,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_8784,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2989]) ).

cnf(i_0_8785,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017]) ).

cnf(i_0_8786,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_8787,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X3,X2))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3017]) ).

cnf(i_0_8788,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018]) ).

cnf(i_0_8789,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_4518]) ).

cnf(i_0_8790,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3018]) ).

cnf(i_0_8791,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952]) ).

cnf(i_0_8792,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X2,X4))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2952]) ).

cnf(i_0_8793,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081]) ).

cnf(i_0_8794,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3081]) ).

cnf(i_0_8795,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082]) ).

cnf(i_0_8796,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3082]) ).

cnf(i_0_8797,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115]) ).

cnf(i_0_8798,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3115]) ).

cnf(i_0_8799,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137]) ).

cnf(i_0_8800,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_4666]) ).

cnf(i_0_8801,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3137]) ).

cnf(i_0_8802,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114]) ).

cnf(i_0_8803,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3114]) ).

cnf(i_0_8804,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224]) ).

cnf(i_0_8805,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(rename_variables,[],[i_0_4517]) ).

cnf(i_0_8806,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3224]) ).

cnf(i_0_8807,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094]) ).

cnf(i_0_8808,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3094]) ).

cnf(i_0_8809,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138]) ).

cnf(i_0_8810,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1),
    inference(rename_variables,[],[i_0_4666]) ).

cnf(i_0_8811,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X4,X2))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3138]) ).

cnf(i_0_8812,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988]) ).

cnf(i_0_8813,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),X1),
    inference(rename_variables,[],[i_0_5251]) ).

cnf(i_0_8814,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2988]) ).

cnf(i_0_8815,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),X4)),X5),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389]) ).

cnf(i_0_8816,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),X1),
    inference(rename_variables,[],[i_0_5274]) ).

cnf(i_0_8817,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_3389]) ).

cnf(i_0_8818,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095]) ).

cnf(i_0_8819,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3095]) ).

cnf(i_0_8820,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088]) ).

cnf(i_0_8821,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3088]) ).

cnf(i_0_8822,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089]) ).

cnf(i_0_8823,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3089]) ).

cnf(i_0_8824,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096]) ).

cnf(i_0_8825,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3096]) ).

cnf(i_0_8826,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),X1),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986]) ).

cnf(i_0_8827,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),X2),X1),
    inference(rename_variables,[],[i_0_5709]) ).

cnf(i_0_8828,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2986]) ).

cnf(i_0_8829,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,X6)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X7),X8)),X7),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987]) ).

cnf(i_0_8830,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,X6))),X5),
    inference(rename_variables,[],[i_0_7275]) ).

cnf(i_0_8831,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2987]) ).

cnf(i_0_8832,plain,
    c_Orderings_Oord__class_Oless__eq(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716]) ).

cnf(i_0_8833,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3716]) ).

cnf(i_0_8834,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103]) ).

cnf(i_0_8835,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3103]) ).

cnf(i_0_8836,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090]) ).

cnf(i_0_8837,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3090]) ).

cnf(i_0_8838,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091]) ).

cnf(i_0_8839,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3091]) ).

cnf(i_0_8840,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_r,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102]) ).

cnf(i_0_8841,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3102]) ).

cnf(i_0_8842,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_7509,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477]) ).

cnf(i_0_8843,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_5193]) ).

cnf(i_0_8844,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3477]) ).

cnf(i_0_8845,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725]) ).

cnf(i_0_8846,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rename_variables,[],[i_0_7509]) ).

cnf(i_0_8847,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_6342]) ).

cnf(i_0_8848,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Rings_Olinordered__idom(X1)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3725]) ).

cnf(i_0_8849,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092]) ).

cnf(i_0_8850,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3092]) ).

cnf(i_0_8851,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X2,X3)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X2,X3)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093]) ).

cnf(i_0_8852,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3093]) ).

cnf(i_0_8853,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116]) ).

cnf(i_0_8854,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3116]) ).

cnf(i_0_8855,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112]) ).

cnf(i_0_8856,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_3112]) ).

cnf(i_0_8857,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098]) ).

cnf(i_0_8858,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_3098]) ).

cnf(i_0_8859,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113]) ).

cnf(i_0_8860,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3113]) ).

cnf(i_0_8861,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097]) ).

cnf(i_0_8862,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3097]) ).

cnf(i_0_8863,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535]) ).

cnf(i_0_8864,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X2)),
    inference(rename_variables,[],[i_0_3067]) ).

cnf(i_0_8865,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3535]) ).

cnf(i_0_8866,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117]) ).

cnf(i_0_8867,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3117]) ).

cnf(i_0_8868,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724]) ).

cnf(i_0_8869,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2)),
    inference(rename_variables,[],[i_0_7512]) ).

cnf(i_0_8870,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3724]) ).

cnf(i_0_8871,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,esk2_0,esk2_0)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105]) ).

cnf(i_0_8872,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3105]) ).

cnf(i_0_8873,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118]) ).

cnf(i_0_8874,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
    | ~ c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3118]) ).

cnf(i_0_8875,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,esk42_1(esk2_0),v_z____)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649]) ).

cnf(i_0_8876,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(rename_variables,[],[i_0_5094]) ).

cnf(i_0_8877,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_8878,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100]) ).

cnf(i_0_8879,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3100]) ).

cnf(i_0_8880,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099]) ).

cnf(i_0_8881,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Otimes__class_Otimes(X1,X2,X3))
    | ~ class_Rings_Oordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_3099]) ).

cnf(i_0_8882,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk22_2(X1,X2)),c_NthRoot_Osqrt(esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108]) ).

cnf(i_0_8883,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3108]) ).

cnf(i_0_8884,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,esk2_0),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,esk2_0,esk2_0))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109]) ).

cnf(i_0_8885,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field(X1) ),
    inference(rename_variables,[],[i_0_3109]) ).

cnf(i_0_8886,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_NthRoot_Osqrt(esk22_2(X1,X2)),c_NthRoot_Osqrt(esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110]) ).

cnf(i_0_8887,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
    inference(rename_variables,[],[i_0_3110]) ).

cnf(i_0_8888,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647]) ).

cnf(i_0_8889,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),X1),
    inference(rename_variables,[],[i_0_6747]) ).

cnf(i_0_8890,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4599]) ).

cnf(i_0_8891,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3647]) ).

cnf(i_0_8892,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk2_0),esk2_0)),esk2_0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk2_0),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647,i_0_3276]) ).

cnf(i_0_8893,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) != c_Rings_Oinverse__class_Odivide(X2,X5,X1)
    | c_Groups_Otimes__class_Otimes(X2,X4,X1) = c_Groups_Otimes__class_Otimes(X2,X5,X3)
    | ~ class_Fields_Ofield(X2) ),
    inference(rename_variables,[],[i_0_3276]) ).

cnf(i_0_8894,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X3)),c_NthRoot_Osqrt(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_8096,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647,i_0_3276,i_0_3277]) ).

cnf(i_0_8895,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X3)),X2),
    inference(rename_variables,[],[i_0_7813]) ).

cnf(i_0_8896,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Otimes__class_Otimes(X2,X4,X1) != c_Groups_Otimes__class_Otimes(X2,X5,X3)
    | c_Rings_Oinverse__class_Odivide(X2,X4,X3) = c_Rings_Oinverse__class_Odivide(X2,X5,X1)
    | ~ class_Fields_Ofield(X2) ),
    inference(rename_variables,[],[i_0_3277]) ).

cnf(i_0_8897,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X3,X4))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,esk22_2(X1,X2))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_8096,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_8762,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647,i_0_3276,i_0_3277,i_0_2838]) ).

cnf(i_0_8898,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_8899,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X5,X3))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_2838]) ).

cnf(i_0_8900,plain,
    c_Power_Opower__class_Opower(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_8748,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_8096,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_8762,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647,i_0_3276,i_0_3277,i_0_2838,i_0_3709]) ).

cnf(i_0_8901,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(rename_variables,[],[i_0_4611]) ).

cnf(i_0_8902,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2) ),
    inference(rename_variables,[],[i_0_3709]) ).

cnf(i_0_8903,plain,
    c_Power_Opower__class_Opower(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))) = c_Groups_Ozero__class_Ozero(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_8768,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_8748,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_8096,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_8762,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505]) ).

cnf(i_0_8904,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_8905,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Rings_Omult__zero(X2)
    | ~ class_Rings_Ono__zero__divisors(X2)
    | ~ class_Rings_Ozero__neq__one(X2)
    | c_Power_Opower__class_Opower(X2,c_Groups_Ozero__class_Ozero(X2),X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2) ),
    inference(rename_variables,[],[i_0_4505]) ).

cnf(i_0_8906,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2)))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_5229,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_8768,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_8748,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_8096,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_8762,i_0_8898,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837]) ).

cnf(i_0_8907,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(rename_variables,[],[i_0_3964]) ).

cnf(i_0_8908,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X4,X3),c_Groups_Otimes__class_Otimes(X1,X2,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2837]) ).

cnf(i_0_8909,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X1,X2))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk42_1(esk22_2(X1,X2))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))))),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_5229,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_8768,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_8748,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_8096,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_8762,i_0_8898,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_2836]) ).

cnf(i_0_8910,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3),c_Groups_Otimes__class_Otimes(X1,X4,X5))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_2836]) ).

cnf(i_0_8911,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_5229,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_8768,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_8748,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_5960,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_8096,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_8762,i_0_8898,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_6040,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4197,i_0_4264,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_2836,i_0_3300]) ).

cnf(i_0_8912,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_5960]) ).

cnf(i_0_8913,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1)),
    inference(rename_variables,[],[i_0_6040]) ).

cnf(i_0_8914,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Oplus__class_Oplus(X2,X1,X3) = c_Groups_Ozero__class_Ozero(X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_3300]) ).

cnf(i_0_8915,plain,
    c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk2_0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_5229,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_8768,i_0_8904,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_8748,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_5960,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_8096,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_8762,i_0_8898,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_6040,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4156,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_3370,i_0_3637,i_0_3691,i_0_3762,i_0_3927,i_0_3778,i_0_3809,i_0_3763,i_0_3638,i_0_3588,i_0_3563,i_0_3632,i_0_3775,i_0_3951,i_0_3210,i_0_3351,i_0_3425,i_0_3825,i_0_3148,i_0_3162,i_0_3686,i_0_3031,i_0_3271,i_0_3272,i_0_3936,i_0_3950,i_0_3258,i_0_3364,i_0_3424,i_0_3761,i_0_3587,i_0_3827,i_0_3256,i_0_3209,i_0_3797,i_0_3639,i_0_3255,i_0_3163,i_0_3253,i_0_3273,i_0_3660,i_0_2937,i_0_3935,i_0_3663,i_0_3251,i_0_3328,i_0_3635,i_0_3254,i_0_4313,i_0_4330,i_0_4331,i_0_3519,i_0_2690,i_0_3793,i_0_3244,i_0_3773,i_0_3215,i_0_2930,i_0_3263,i_0_3566,i_0_3961,i_0_3916,i_0_2873,i_0_3126,i_0_3474,i_0_2872,i_0_3408,i_0_3130,i_0_3447,i_0_3127,i_0_3131,i_0_3446,i_0_3541,i_0_3013,i_0_3125,i_0_3120,i_0_3227,i_0_3245,i_0_3545,i_0_3785,i_0_3787,i_0_3788,i_0_3789,i_0_2781,i_0_3627,i_0_3772,i_0_3870,i_0_3899,i_0_3921,i_0_3922,i_0_3974,i_0_3978,i_0_3980,i_0_4006,i_0_4492,i_0_4493,i_0_2783,i_0_2784,i_0_3180,i_0_3420,i_0_3655,i_0_3675,i_0_3779,i_0_3814,i_0_3866,i_0_3976,i_0_3996,i_0_4489,i_0_3546,i_0_3998,i_0_3999,i_0_2782,i_0_3166,i_0_3292,i_0_3305,i_0_3418,i_0_3431,i_0_3432,i_0_3505,i_0_4488,i_0_2726,i_0_2842,i_0_3176,i_0_3193,i_0_3319,i_0_3515,i_0_3867,i_0_3868,i_0_3923,i_0_3307,i_0_3414,i_0_3419,i_0_3429,i_0_3436,i_0_3438,i_0_3869,i_0_3997,i_0_4004,i_0_4005,i_0_2925,i_0_3016,i_0_3306,i_0_3516,i_0_3518,i_0_3302,i_0_3434,i_0_3507,i_0_3510,i_0_3517,i_0_3754,i_0_3558,i_0_3741,i_0_3888,i_0_3264,i_0_3550,i_0_3553,i_0_3739,i_0_2926,i_0_3570,i_0_3736,i_0_3740,i_0_3571,i_0_3982,i_0_2843,i_0_3506,i_0_3554,i_0_3075,i_0_3681,i_0_3984,i_0_2928,i_0_3243,i_0_3813,i_0_3409,i_0_3780,i_0_3012,i_0_3473,i_0_3731,i_0_3511,i_0_3161,i_0_3657,i_0_2934,i_0_3303,i_0_3508,i_0_3659,i_0_3415,i_0_3304,i_0_3569,i_0_2932,i_0_3128,i_0_3309,i_0_3678,i_0_3124,i_0_3308,i_0_3129,i_0_4369,i_0_4370,i_0_4371,i_0_4355,i_0_4356,i_0_4358,i_0_4359,i_0_4360,i_0_4361,i_0_4362,i_0_4363,i_0_4364,i_0_4365,i_0_4366,i_0_4367,i_0_4368,i_0_4372,i_0_4373,i_0_4374,i_0_4376,i_0_4377,i_0_4378,i_0_4379,i_0_4380,i_0_4383,i_0_4384,i_0_4385,i_0_4386,i_0_4387,i_0_4388,i_0_4389,i_0_4390,i_0_4391,i_0_4392,i_0_4393,i_0_4394,i_0_4396,i_0_4397,i_0_4398,i_0_4401,i_0_4402,i_0_4403,i_0_4404,i_0_4405,i_0_4406,i_0_4407,i_0_4409,i_0_4410,i_0_4411,i_0_4413,i_0_4414,i_0_4415,i_0_4417,i_0_4418,i_0_4419,i_0_4420,i_0_4421,i_0_4422,i_0_4423,i_0_4424,i_0_4425,i_0_4426,i_0_4427,i_0_4428,i_0_4429,i_0_4430,i_0_4431,i_0_4432,i_0_4433,i_0_4434,i_0_4435,i_0_4436,i_0_4437,i_0_4395,i_0_4357,i_0_4314,i_0_3223,i_0_3514,i_0_3387,i_0_3225,i_0_2845,i_0_3712,i_0_3267,i_0_2844,i_0_3391,i_0_2852,i_0_3392,i_0_3394,i_0_3616,i_0_3390,i_0_3393,i_0_2856,i_0_2851,i_0_2850,i_0_3037,i_0_3038,i_0_3139,i_0_3599,i_0_3600,i_0_3613,i_0_3614,i_0_3856,i_0_3857,i_0_3865,i_0_2901,i_0_2981,i_0_3177,i_0_3608,i_0_3084,i_0_2902,i_0_2954,i_0_2962,i_0_2963,i_0_2964,i_0_2978,i_0_3080,i_0_3085,i_0_3104,i_0_3132,i_0_2876,i_0_2877,i_0_3048,i_0_3059,i_0_3140,i_0_3513,i_0_3617,i_0_2950,i_0_2951,i_0_3086,i_0_3612,i_0_3049,i_0_3058,i_0_3083,i_0_3079,i_0_3266,i_0_3609,i_0_3611,i_0_3141,i_0_2953,i_0_2979,i_0_3760,i_0_2989,i_0_3017,i_0_3018,i_0_2952,i_0_3081,i_0_3082,i_0_3115,i_0_3137,i_0_3114,i_0_3224,i_0_3094,i_0_3138,i_0_2988,i_0_3389,i_0_3095,i_0_3088,i_0_3089,i_0_3096,i_0_2986,i_0_2987,i_0_3716,i_0_3103,i_0_3090,i_0_3091,i_0_3102,i_0_3477,i_0_3725,i_0_3092,i_0_3093,i_0_3116,i_0_3112,i_0_3098,i_0_3113,i_0_3097,i_0_3535,i_0_3117,i_0_3724,i_0_3105,i_0_3118,i_0_3649,i_0_3100,i_0_3099,i_0_3108,i_0_3109,i_0_3110,i_0_3647,i_0_3276,i_0_3277,i_0_2838,i_0_3709,i_0_4505,i_0_2837,i_0_2836,i_0_3300,i_0_3777]) ).

cnf(i_0_8916,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)) != X1,
    inference(rename_variables,[],[i_0_6558]) ).

cnf(i_0_8917,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_7734]) ).

cnf(i_0_8918,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != c_Groups_Ozero__class_Ozero(X3)
    | c_Power_Opower__class_Opower(X3,X2,X1) = c_Groups_Ozero__class_Ozero(X3)
    | ~ class_Power_Opower(X3)
    | ~ class_Rings_Omult__zero(X3)
    | ~ class_Rings_Ono__zero__divisors(X3)
    | ~ class_Rings_Ozero__neq__one(X3) ),
    inference(rename_variables,[],[i_0_3777]) ).

cnf(i_0_8919,plain,
    $false,
    inference(scs_inference,[],[i_0_6728,i_0_6730,i_0_2698,i_0_3275,i_0_2716,i_0_3959,i_0_5238,i_0_5244,i_0_4576,i_0_4776,i_0_5227,i_0_4774,i_0_5242,i_0_5220,i_0_6095,i_0_6107,i_0_5240,i_0_4783,i_0_6099,i_0_8251,i_0_8261,i_0_8366,i_0_8403,i_0_8412,i_0_8644,i_0_8684,i_0_8718,i_0_6109,i_0_6534,i_0_4787,i_0_4761,i_0_4800,i_0_4518,i_0_8652,i_0_8656,i_0_8659,i_0_8733,i_0_8772,i_0_8786,i_0_5229,i_0_4808,i_0_5184,i_0_4806,i_0_5205,i_0_5652,i_0_5207,i_0_6429,i_0_6431,i_0_6053,i_0_5162,i_0_5251,i_0_8308,i_0_8783,i_0_5193,i_0_5199,i_0_8721,i_0_8724,i_0_8727,i_0_8730,i_0_6990,i_0_6996,i_0_6992,i_0_7235,i_0_7722,i_0_6019,i_0_6735,i_0_7734,i_0_8636,i_0_7705,i_0_8691,i_0_7518,i_0_7936,i_0_7648,i_0_7293,i_0_7928,i_0_7941,i_0_7947,i_0_7950,i_0_7986,i_0_8023,i_0_8093,i_0_8267,i_0_8626,i_0_7467,i_0_7670,i_0_7868,i_0_7913,i_0_7916,i_0_8245,i_0_6470,i_0_7898,i_0_7925,i_0_7969,i_0_7983,i_0_7275,i_0_8328,i_0_7472,i_0_8139,i_0_7485,i_0_7871,i_0_8018,i_0_8142,i_0_7676,i_0_7991,i_0_4813,i_0_7290,i_0_7999,i_0_8046,i_0_8114,i_0_8202,i_0_8234,i_0_8268,i_0_8384,i_0_8717,i_0_7255,i_0_7739,i_0_6805,i_0_6342,i_0_8752,i_0_7509,i_0_8751,i_0_8846,i_0_7512,i_0_7295,i_0_5600,i_0_6558,i_0_8184,i_0_8235,i_0_8329,i_0_8598,i_0_8768,i_0_8904,i_0_6595,i_0_6070,i_0_4580,i_0_5274,i_0_8244,i_0_8422,i_0_8605,i_0_8816,i_0_3800,i_0_5512,i_0_8076,i_0_8199,i_0_4517,i_0_8633,i_0_4590,i_0_5514,i_0_4611,i_0_8103,i_0_8124,i_0_8134,i_0_8174,i_0_8187,i_0_8211,i_0_8216,i_0_8231,i_0_8450,i_0_8452,i_0_8454,i_0_8456,i_0_8459,i_0_8461,i_0_8662,i_0_8678,i_0_8748,i_0_5964,i_0_8165,i_0_8181,i_0_8463,i_0_8465,i_0_8467,i_0_8469,i_0_8471,i_0_8473,i_0_8475,i_0_8477,i_0_8479,i_0_8481,i_0_8483,i_0_8485,i_0_8487,i_0_8489,i_0_8491,i_0_8493,i_0_8495,i_0_8497,i_0_8499,i_0_8501,i_0_8503,i_0_8505,i_0_8507,i_0_8509,i_0_8511,i_0_8513,i_0_8515,i_0_8517,i_0_8519,i_0_8521,i_0_8523,i_0_8525,i_0_8527,i_0_8529,i_0_8531,i_0_8533,i_0_8535,i_0_8537,i_0_8539,i_0_8541,i_0_8543,i_0_8545,i_0_8547,i_0_8549,i_0_8551,i_0_8553,i_0_8555,i_0_8557,i_0_8559,i_0_8561,i_0_8563,i_0_8565,i_0_8567,i_0_8569,i_0_8571,i_0_8573,i_0_8575,i_0_8577,i_0_8579,i_0_8581,i_0_8583,i_0_8585,i_0_8587,i_0_8589,i_0_8591,i_0_8593,i_0_8595,i_0_8665,i_0_8671,i_0_5960,i_0_4599,i_0_8146,i_0_8342,i_0_6223,i_0_4938,i_0_7439,i_0_7437,i_0_7435,i_0_7433,i_0_7431,i_0_7429,i_0_7425,i_0_7423,i_0_7411,i_0_7409,i_0_7407,i_0_7405,i_0_7403,i_0_7401,i_0_7387,i_0_7385,i_0_7381,i_0_7379,i_0_7377,i_0_7373,i_0_7441,i_0_7371,i_0_7421,i_0_7367,i_0_7419,i_0_7365,i_0_7417,i_0_7363,i_0_7413,i_0_7361,i_0_7391,i_0_7355,i_0_7383,i_0_7353,i_0_7357,i_0_7427,i_0_7347,i_0_7351,i_0_7395,i_0_7337,i_0_7349,i_0_7369,i_0_7415,i_0_7327,i_0_7345,i_0_7359,i_0_7397,i_0_7012,i_0_7325,i_0_7339,i_0_7343,i_0_7393,i_0_7010,i_0_6923,i_0_5954,i_0_7323,i_0_7335,i_0_7333,i_0_7389,i_0_7319,i_0_7329,i_0_7321,i_0_7375,i_0_7399,i_0_6863,i_0_7901,i_0_8012,i_0_8049,i_0_6899,i_0_7834,i_0_7862,i_0_8072,i_0_6897,i_0_7859,i_0_8074,i_0_8123,i_0_7307,i_0_6809,i_0_6769,i_0_4622,i_0_7014,i_0_8099,i_0_7813,i_0_8096,i_0_5850,i_0_5614,i_0_7311,i_0_7315,i_0_7317,i_0_7313,i_0_7331,i_0_7341,i_0_7769,i_0_6826,i_0_7910,i_0_8305,i_0_8352,i_0_8439,i_0_7003,i_0_5612,i_0_4880,i_0_4847,i_0_8149,i_0_8152,i_0_8651,i_0_4596,i_0_6207,i_0_6205,i_0_4978,i_0_3963,i_0_3766,i_0_3964,i_0_8238,i_0_8241,i_0_8248,i_0_8258,i_0_8291,i_0_8707,i_0_8762,i_0_8898,i_0_3962,i_0_4245,i_0_4243,i_0_6659,i_0_3598,i_0_2717,i_0_5388,i_0_3958,i_0_4242,i_0_4247,i_0_4249,i_0_5106,i_0_5090,i_0_5721,i_0_8015,i_0_6040,i_0_4648,i_0_4244,i_0_6004,i_0_5750,i_0_5094,i_0_4268,i_0_5462,i_0_4666,i_0_8286,i_0_8800,i_0_4267,i_0_4277,i_0_4276,i_0_4278,i_0_4266,i_0_4265,i_0_5411,i_0_5705,i_0_7889,i_0_6080,i_0_7933,i_0_8002,i_0_8005,i_0_5925,i_0_5743,i_0_5640,i_0_5413,i_0_5385,i_0_3602,i_0_3605,i_0_4304,i_0_4303,i_0_7443,i_0_6505,i_0_6045,i_0_6422,i_0_7107,i_0_7809,i_0_5730,i_0_7807,i_0_7206,i_0_8055,i_0_5718,i_0_7865,i_0_7994,i_0_8061,i_0_6849,i_0_7246,i_0_5693,i_0_6794,i_0_6814,i_0_6831,i_0_6774,i_0_6777,i_0_5709,i_0_6914,i_0_7849,i_0_6799,i_0_8043,i_0_6801,i_0_7667,i_0_6747,i_0_8033,i_0_8622,i_0_6868,i_0_7193,i_0_7840,i_0_7856,i_0_5906,i_0_6871,i_0_6877,i_0_7785,i_0_7805,i_0_7176,i_0_6755,i_0_6978,i_0_7787,i_0_6673,i_0_7135,i_0_4240,i_0_3834,i_0_4657,i_0_4199,i_0_3067,i_0_8361,i_0_3953,i_0_4103,i_0_4198,i_0_4252,i_0_4295,i_0_3967,i_0_4110,i_0_4148,i_0_4160,i_0_4164,i_0_4197,i_0_4219,i_0_4264,i_0_4156,i_0_4178,i_0_4194,i_0_4107,i_0_4111,i_0_4180,i_0_4190,i_0_4298,i_0_4108,i_0_4122,i_0_4193,i_0_4130,i_0_4253,i_0_4106,i_0_4280,i_0_4215,i_0_4214,i_0_4284,i_0_4117,i_0_4196,i_0_4255,i_0_4131,i_0_4294,i_0_4181,i_0_4285,i_0_4275,i_0_4308,i_0_3861,i_0_3156,i_0_3450,i_0_3155,i_0_3345,i_0_3154,i_0_2946,i_0_3261,i_0_3029,i_0_3320,i_0_3342,i_0_3358,i_0_3359,i_0_2935,i_0_3147,i_0_3340,i_0_3294,i_0_3746,i_0_3829,i_0_3828,i_0_4440,i_0_4470,i_0_3493,i_0_3630,i_0_3662,i_0_3692,i_0_3744,i_0_3893,i_0_4086,i_0_4562,i_0_4564,i_0_3895,i_0_3028,i_0_3366,i_0_3368,i_0_3636,i_0_3694,i_0_4087,i_0_3350,i_0_3372,i_0_3816,i_0_3030,i_0_3293,i_0_3212,i_0_3574,i_0_3674,i_0_3347,i_0_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    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW221+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue May  5 06:26:10 EDT 2026
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % start to proof: theBenchmark
% 27.96/15.94  % Version  : CSE_E---1.7
% 27.96/15.94  % Problem  : theBenchmark.p
% 27.96/15.94  % SZS status Theorem for theBenchmark.p
% 27.96/15.94  % SZS output start CNFRefutation
% See solution above
% 247.46/174.93  % Total time : 15.583s
%------------------------------------------------------------------------------